Statistics & Probability
Data analysis, probability distributions, hypothesis testing, and statistical methods.
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random variables and distributions notation for the population proporti…
(a) Population proportion \(p = 0.27\) (b) Sample proportion \(\hat{p}=0.19\)
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according to a poll, about 14% of adults in a country bet on profession…
\(0.5390\)
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according to a poll, about 14% of adults in a country bet on profession…
(a) C. No. A person can both be male and bet on professional sports at the same time. (b) \(0.0650\)
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probability calculating relative frequencies in a contingency table: ad…
\(0.14\)
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according to a poll, about 14% of adults in a country bet on profession…
C. No. A person can both be male and bet on professional sports at the same time
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a sample of 258 people is surveyed. the people are classified according…
\(0.33\)
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a sample of 237 adults is selected. the adults are classified according…
\(0.30\)
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the probability that a certain state will be hit by a major tornado (ca…
\( 0.00346 \)
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for a parallel structure of identical components, the system can succee…
For part (a): It would not be unusual to observe one component fail, since the probability that one component fails, \(0.19\), is greater than \(0.05\). It would be unusual to obs…
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what is the equation of the trend line in the scatter plot? use the two…
\(y =-\frac{11}{18}x + 9\)
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.8221\)
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what is the equation of the trend line in the scatter plot? use the two…
\(y = 4x-16\)
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.1777\)
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read the excerpt from act 2, scene 1, of julius caesar portia. brutus i…
Portia pleads with Brutus and says that she deserves to know what is wrong.
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.1777\)
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based on the scatter plot below, which is a better prediction for x whe…
\(84\)
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does this scatter plot show a positive trend, a negative trend, or no t…
negative trend
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.1772\)
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9. jaylen got a job paying $9.50 an hour at the coffee shop, but the fi…
a. The correct equation is \(y = 9.5x-70\) c. Slope \(m = 9.5\) (net amount increases by \(\$9.50\) per hour worked), \(y\) - intercept \(b=-70\) (net amount is \(-\$70\) when \(0…
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why was 1968 a political turning point in american history? check all t…
B. Nixon's election marked a turn away from liberal reform. C. People lost faith in the government after the assassinations and riots. E. The assassinations of King and Kennedy me…
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.1772\)
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9. jaylen got a job paying $9.50 an hour at the first week there he spe…
The slope is \(9.5\), which means Jaylen earns \( \$9.50\) per hour. The \(y\) - intercept is \(-70\), which means Jaylen had a debt (or negative balance) of \( \$70\) before star…
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.9979\)
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topic 2 linear relationships 9 jaylen got a job paying $9.50 an hour at…
Jaylen netted \(262.5\) dollars.
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.0021\)
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based on the scatter plot below, which is a better prediction for y whe…
\(6\)
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based on the scatter plot below, which is a better prediction for y whe…
63
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9. jaylen got a job paying $9.50 an hour at the coffee shop. but first …
a. The equation is \(y = 9.5x-70\). d. When \(x = 35\), \(y=262.5\). So Jaylen netted \(\$262.50\) on his paycheck.
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among 21 - to 25 - year - olds, 29.2% say they have driven while under …
\(0.0022\)
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among 21 - to 25 - year olds, 20.2% say they have driven while under th…
\(0.0003\)
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10. andrew is saving his money to purchase a smartphone. he already has…
a. \( y = 10x + 57 \) b. Graph by plotting points \( (0,57) \) and \( (4,97) \) and drawing a line through them. c. Slope \( m = 10 \) (saves \( \$10 \) per week), \( y \)-interce…
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the probability that a randomly selected 40 - year - old male will live…
\(0.019389\)
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the probability that a randomly selected 40 - year - old male will live…
\(0.980768\)
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8. mariana just bought a new baseball bat. she expects the bat to last …
a. \(y = 75-3x\) b. Graph with points \((0,75)\) and \((25,0)\) connected by a straight line. c. Slope \(m=-3\) (games remaining decrease by 3 per week), \(y\) - intercept \(b = 7…
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the probability that a randomly selected 40 - year - old male will live…
\(0.980007\)
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the probability that a randomly selected 40 - year - old male will live…
\(0.993495\)
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topic 2 linear relationships 7 mario is painting a canvas with one colo…
a. The equation is \(y = 16x\). b. Graph with points \((0,0)\) and \((1,16)\) connected by a straight line. c. Slope \(m = 16\) (16 square feet per pint of paint), y - intercept \…
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the probability that a randomly selected 40 - year - old male will live…
\(0.993495\)
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an at - home covid - 19 test to detect the presence of the sars - cov -…
\(0.5910\)
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an at - home covid - 19 test to detect the presence of the sars - cov -…
\(0.4090\)
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about 5% of the population is left - handed. if two people are randomly…
\(0.9975\)
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topic 2 linear relationships 5. trung and her band are recording a cd. …
a. The equation is \(y = 3.1x + 3.7\). b. Graph by plotting \((0,3.7)\) and \((1,6.8)\) and drawing a line (description of graph as above). c. Slope \(m = 3.1\) (each song adds \(…
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about 5% of the population is left - handed. if two people are randomly…
\(0.0025\)
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topic 2 linear relationships 5. trung and her band are recording a cd. …
The CD will be \(40.9\) minutes long.
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explain how the complement can be used to find the probability of getti…
B. The complement of "at least one" is "none" So, the probability of getting at least one item is equal to \(1 - P(\text{none of the items})\)
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suppose that nate gets a strike when bowling (knocks all ten pins down …
\(0.0189\)
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suppose that nate gets a strike when bowling (knocks all ten pins down …
\(0.0270\)
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6. you are planning a training program to run a marathon. you start you…
a. \(y = 3.9x + 5\) b. Plot points \((0,5)\) and \((10,44)\) and draw a line. c. Slope \(m = 3.9\) (miles added per week), y - intercept \(b = 5\) (initial miles). d. \(24.5\) mil…
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suppose that nate gets a strike when bowling (knocks all ten pins down …
\(0.0900\)
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a coin is tossed and an eight - sided die numbered 1 through 8 is rolle…
\(0.125\)
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according to internal revenue service records, 1.92% of all household t…
\(0.006720\)
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in a certain country, the true probability of a baby being a girl is 0.…
\(0.994\)
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a school administrator wants to see if there is a difference in the num…
$-0.1700<\mu_1-\mu_2<4.1700$
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4. paola is mulching her flower garden. she was able to mulch 48 square…
a. \(y = 24x+48\) c. Slope \(m = 24\) (each bag covers 24 square - feet), \(y\)-intercept \(b = 48\) (48 square - feet mulched before lunch) d. 144 square feet
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in a certain country, the true probability of a baby being a boy is 0.5…
\(0.988\)
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random variables and distributions using the empirical rule to identify…
Percentage of total area shaded: 68% \(U = 59.7\) in, \(V = 60.6\) in, \(W = 61.5\) in
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what is the probability of obtaining four tails in a row when flipping …
\(625\)
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suppose that events e and f are independent, ( p(e)=0.4 ), and ( p(f)=0…
\(0.36\)
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topic 2 linear relationships 3. jorge has a job delivering newspapers. …
a. \(y = 0.2x+24.75\) b. Graph with \(y\)-intercept \((0,24.75)\) and slope \(\frac{1}{5}\) (description as above) c. Slope \(m = 0.2\) (earns \(\$0.20\) per house), \(y\)-interce…
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determine whether the events e and f are independent or dependent. just…
D. Events E and F are independent because rolling a fair six - sided die and getting an even number has no effect on the probability of the temperature decreasing in a city.
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using the empirical rule to identify values and percentages of a normal…
- Percentage of total area shaded: \(99.7\%\) - \(U = 72.7-3\times5.4=56.5\) - \(V = 72.7\) - \(W=72.7 + 3\times5.4=88.9\)
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determine whether the events e and f are independent or dependent. just…
A. Events E and F are dependent because eating fast food for dinner every night can affect the probability of a person gaining weight.
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determine whether the events e and f are independent or dependent. just…
D. Events E and F are dependent because being prone to road rage can affect the probability of a person having an at - fault accident.
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the word or in probability implies that we use the rule
Addition
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fill in the blank two events e and f are ______ if the occurrence of ev…
independent
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read the excerpt from julius caesar, act 2, scene 1. brutus. it must be…
The warm praise of the people can cause Caesar to be more powerful and dangerous.
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read the excerpt from act 2, scene 1, of julius caesar. portia. it will…
sincere
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read the excerpt from act 1, scene 2, of julius caesar. brutus. what me…
Brutus begins to distrust Cassius's opinion of Caesar.
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(a) if an adult american is randomly selected, what is the probability …
\(0.710\)
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harris interactive conducted a survey in which they asked adult america…
\(0.175\)
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harris interactive conducted a survey in which they asked adult america…
\(0.270\)
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probability factorial expressions evaluate. 6!3! 4!7! simplify your ans…
\(\frac{1}{28}\)
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hams interactive conducted a survey in which they asked adult americans…
\(0.641\)
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3 meller explained the inspiration behind al - das creation. he said he…
B. shows or stands for something
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(b) determine the probability that a randomly selected fatal crash in 2…
The probability that a randomly selected fatal crash in 2020 occurs when it is dark outside (without light) and raining is \(0.030\). This value is less than \(0.05\), so it would…
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the following data represent a sample of the number of drivers involved…
\(0.931\)
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a spinner has 20 equally sized sections, 6 of which are green and 14 of…
\(0.35\)
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the following data represent a sample of the number of drivers involved…
\(0.400\)
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probability of independent events: decimal answers at a local college, …
\(0.076\)
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the following data represent a sample of the number of drivers involved…
\(0.445\)
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the following data represent a sample of the number of drivers involved…
\(0.886\)
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at a factory that produces pistons for cars, machine 1 produced 693 sat…
\(0.24\)
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what word means what you need or want when trading? natural resource ca…
demand
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descriptive statistics approximating the mean of a data set given a his…
\(0.55\)
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according to the u s census bureau, the probability that a randomly sel…
No, because the sum of the probabilities (if \(P(\text{walk}) = 0.14\)) would be \(0.9554\) (less than \(1\)), but in reality, there are other commuting methods (biking, etc.). Ho…
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descriptive statistics approximating the mean of a data set given a his…
\(685.2\)
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according to the u.s. census bureau, the probability that a randomly se…
\(0.2357\)
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according to the u s census bureau, the probability that a randomly sel…
\(0.1846\)
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what word means what you have when trading? capital resource natural re…
D. supply
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according to the u s census bureau, the probability that a randomly sel…
\(0.8154\)
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descriptive statistics approximating the mean of a date set given a his…
\(885.7\)
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the following probability model shows the distribution of injuries of y…
A. If 1000 baseball injuries to 5 - 14 - year - olds were randomly selected, one would expect about \(668\) of them to be in a location that is not the face.
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the following probability model shows the distribution of injuries of y…
\(0.668\)
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shading a region and finding its standard normal probability answer the…
\(0.3085\)
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the following probability model shows the distribution of injuries of y…
\(P(\text{head, face, or wrist}) = 0.493\)
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the city of franklin runs an after - school arts program for children a…
(a) \(0.69\) (b) \(0.49\)
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the following probability model shows the distribution of injuries of y…
B. If 1000 baseball injuries to 5 - 14 - year - olds were randomly selected, one would expect about \(384\) of them to have happened to the face or wrist.
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the following probability model shows the distribution of injuries of y…
For part (a), the answer is D. For part (b), \(P(\text{face or wrist}) = 0.384\)
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random variables and distributions discrete probability distribution: w…
(a) \(0.52\) (b) \(0.59\)
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the following probability model shows the distribution of injuries of y…
D. Yes, the probability of all events in the table is greater than or equal to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes equals 1.