統計與機率
資料分析、機率分佈、假設檢定與統計方法。
-
a study was conducted to determine whether there were significant diffe…
prob (at least 10 graduated) $\approx0.7161$ prob (exactly 8 graduated) $\approx0.0470$ yes, it is unusual prob (at most 8 graduated) $\approx0.1100$ no, it is not unusual
-
multiple - choice questions each have 5 possible answers, one of which …
$P(WWWWC)=0.0819$ $P(\text{exactly one correct answer}) = 0.4096$
-
if a seed is planted, it has a 50% chance of growing into a healthy pla…
d) $0.0485$ e) $0.1587$ f) $0.7928$ g) $0.0485$ h) $0.1587$ i) $0.8413$
-
if a seed is planted, it has a 50% chance of growing into a healthy pla…
a. The number of the 100 randomly - selected seeds that grow into a healthy plant b. \(n = 100\) c. \(p = 0.5\) d. \(0.0485\) e. \(0.1587\) f. \(0.7928\) g. \(0.0485\) h. \(0.1587…
-
describe the shape of the histogram. skewed right roughly symmetric ske…
Describe the shape of the histogram: Skewed right Mean \(\mu = 1.1\) Variance \(\sigma^{2}=1.39\) Standard deviation \(\sigma\approx1.1790\)
-
suppose a random variable, x, arises from a binomial experiment. suppos…
|x|P(x)| |---|---| |0|0.464404| |1|0.379399| |2|0.139317| |3|0.025439| |4|0.002730| |5|0.000131| |6|0.000003|
-
70% of all americans are home owners. if 44 americans are randomly sele…
a. $0.0697$ b. $0.4779$ c. $0.2061$ d. $0.7850$
-
section 6.2 homework score: 4/14 answered: 4/14 progress saved done que…
a. $0.0958$ b. $0.6288$ c. $0.2061$ d. $0.7285$
-
section 6.2 homework score: 3/14 answered: 3/14 progress saved done que…
$0.0425$
-
achieving closeness through doing is best illustrated by which of the f…
1. C. Going to ball games together 2. C. Ignore criticisms
-
question 8 of 10. which of these describes ezra pounds feelings about t…
B. Too many words blur the reader's experience.
-
in every bar graph, line graph, or scatter plot, the vertical axis shou…
A. zero
-
describe how the graph below is deceptive. mikes grade point average 0 …
b. It appears that Mike's grade point average for the second quarter was significantly larger than his first quarter average. Change the intervals on the vertical scale so they ar…
-
in analyzing a line graph, why is slope important? a. the slope should …
B. The slope of the line reflects the actual trend of the data.
-
use a normal approximation to find the probability of the indicated num…
\(0.8400\)
-
a survey found that womens heights are normally distributed with mean 6…
a. $98.46$ C. No, because only a small percentage of women are not allowed to join this branch of the military because of their height. b. $57.6$ $68.5$
-
assume that adults have iq scores that are normally distributed with a …
$0.9641$
-
find the indicated iq score. the graph to the right depicts iq scores o…
108
-
the weights of college football players are normally distributed with a…
C. 0.3812
-
find the area of the shaded region. the graph to the right depicts iq s…
$0.6065$
-
find the area of the shaded region. the graph to the right depicts iq s…
$0.6293$
-
find the indicated z score. the graph depicts the standard normal distr…
1.15
-
if z is a standard normal variable, find the probability that z lies be…
D. 0.4920
-
find the area of the shaded region. the graph depicts the standard norm…
0.6103
-
1.2.2 study: understand modern poetry the apparition of these faces in …
The word "apparition" implies unreality and fleetingness of the crowd - experience, reflecting disillusionment.
-
study: understand modern poetry the apparition of these faces in the cr…
The word "apparition" gives a sense of unreality to the faces in the crowd, suggesting the speaker's disillusionment with the world and human connections as the faces seem ghost -…
-
determine whether the given procedure results in a binomial distributio…
A. Not binomial: there are more than two outcomes for each trial.
-
find the standard deviation, $sigma$, for the binomial distribution whi…
C. $\sigma = 10.28$
-
find the mean, $mu$, for the binomial distribution which has the stated…
A. $\mu = 473.2$
-
find the standard deviation, $sigma$, for the binomial distribution wit…
C. $\sigma = 3.02$
-
according to a college survey, 22% of all students work full time. find…
D. 3.5 students
-
assume that a procedure yields a binomial distribution with n = 5 trial…
$0.021$
-
identify the given random variable as being discrete or continuous. the…
Continuous
-
fill in the blank. a ______ random variable has either a finite or a co…
discrete
-
in a certain college, 33% of the physics majors belong to ethnic minori…
B. 0.981
-
if np ≥ 5 and nq ≥ 5, estimate p(more than 7) with n = 11 and p = 0.6 b…
B. The normal distribution cannot be used.
-
if np ≥ 5 and nq ≥ 5, estimate p(fewer than 7) with n = 14 and p = 0.6 …
A. \(P(\text{fewer than }7)=0.1492\)
-
in a survey of 1327 people, 871 people said they voted in a recent pres…
B. Some people are being less than honest because $P(x\geq871)$ is less than 5%
-
in a survey of 1327 people, 871 people said they voted in a recent pres…
\(0.0250\) (b) The results from part (a) suggest that the proportion of people who claimed to have voted (\(\frac{871}{1327}\approx0.6565\)) is higher than the actual proportion o…
-
in a study of 317,323 cell phone users, it was found that 116 developed…
B. The media reports appear to be incorrect because one would expect that more than 129 cell phone users would develop cancer. In fact, the study may offer some evidence to sugges…
-
in a study of 317,323 cell - phone users, it was found that 116 develop…
The probability $P(x\leq116)\approx0.1357$. Since the observed number of cases (116) is not extremely rare (the probability is not very low) under the assumption that cell - phone…
-
how has supreme court precedent changed your fifth amendment rights ove…
Officers must communicate a person's rights to before questioning the person in custody. Officers can question someone immediately if public safety is at risk. Officers can commun…
-
before every flight, the pilot must verify that the total weight of the…
$0.9842$
-
a boat capsized and sank in a lake. based on an assumption of a mean we…
A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passengers.
-
a boat capsized and sank in a lake. based on an assumption of a mean we…
$0.8159$
-
a boat capsized and sank in a lake. based on an assumption of a mean we…
$1.0000$
-
the overhead reach distances of adult females are normally distributed …
a. $0.0655$ b. $0.7823$ c. D. The normal distribution can be used because the original population has a normal distribution.
-
assume that females have pulse rates that are normally distributed with…
a. 0.7123 b. 0.9974 c. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.
-
assume that females have pulse rates that are normally distributed with…
$0.9974$
-
assume that females have pulse rates that are normally distributed with…
$0.7123$
-
a researcher collects a simple random sample of grade - point averages …
A. The sample has more than 30 grade - point averages. B. If the population of grade - point averages has a normal distribution.
-
read the following line: \her smile was beatific: a perfect, silent rom…
blissful
-
a survey found that womens heights are normally distributed with mean 6…
a. $99.63\%$ b. The new height requirements are between $58.77$ inches and $68.41$ inches.
-
assume that adults have iq scores that are normally distributed with a …
$0.5762$
-
assume that adults have iq scores that are normally distributed with a …
$0.9192$
-
find the indicated iq score. the graph to the right depicts iq scores o…
112
-
find the indicated iq score. the graph to the right depicts iq scores o…
$113$
-
assume that a randomly selected subject is given a bone density test. b…
-1.28
-
assume that a randomly selected subject is given a bone density test. b…
B.
-
a drawer is filled with 7 black shirts, 5 white shirts, and 10 gray shi…
$\frac{6}{11}$
-
an organization will give a prize to a local artist. the artist will be…
$\frac{3}{4}$
-
assume that the readings on the thermometers are normally distributed w…
The graph that has the shaded area to the left of a value on the x - axis equal to $0.93$ is the correct representation of $P_{93}$. Without seeing the actual options clearly (sin…
-
assume that a randomly selected subject is given a bone density test. t…
The probability is \(0.9788\). The correct graph is B.
-
assume that a randomly selected subject is given a bone density test. t…
The probability is \(0.1660\) and the correct graph is C.
-
assume that a randomly - selected subject is given a bone density test.…
The probability that a given score is less than 2.35 is 0.9906. The correct graph for the sketch of the region is A.
-
assume that a randomly selected subject is given a bone density test. t…
0.1335 The correct graph is the one that has the area to the left of - 1.11 shaded, which is option B.
-
assume that a randomly selected subject is given a bone density test. t…
The probability that a given score is less than $-1.11$ is $0.1335$. The correct graph is B (since it shows the shaded region to the left of $-1.11$ under the normal - distributio…
-
find the indicated z score. the graph depicts the standard normal distr…
- 0.69
-
read the excerpt from paragraph 2. (2) my childhood recollections rushe…
A. completely consumed her
-
question 4 of 10 read paragraph 2. (2) if you only had more time at you…
C. make him famous
-
find the indicated z score. the graph depicts the standard normal distr…
1.87
-
read the excerpt from paragraph 5 of \how theseus lifted the stone.\ an…
A. strengthened
-
find the area of the shaded region. the graph depicts the standard norm…
$0.6835$
-
check here for instructional material to complete this problem. true or…
True
-
check here for instructional material to complete this problem. evaluat…
$82.422$
-
assume that hybridization experiments are conducted with peas having th…
23.9
-
assume that hybridization experiments are conducted with peas having th…
15.1
-
assume that hybridization experiments are conducted with peas having th…
2.2
-
assume that hybridization experiments are conducted with peas having th…
The value of the mean is $\mu = 19.5$ peas.
-
assume that different groups of couples use a particular method of gend…
16.8
-
assume that different groups of couples use a particular method of gend…
7.2
-
assume that different groups of couples use a particular method of gend…
The value of the standard deviation is $\sigma = 2.4$
-
assume that different groups of couples use a particular method of gend…
The value of the mean is \(\mu = 12\)
-
ice cream the function $c(g)$ represents the cost to produce $g$ gallon…
It costs $\$121$ to produce $654$ gallons of chocolate chunk ice cream.
-
a pharmaceutical company receives large shipments of aspirin tablets. t…
The company will accept \(83.82\%\) of the shipments and will reject \(16.18\%\) of the shipments. So almost all such shipments will not be accepted (because the rejection - rate …
-
read the excerpt from act 3, scene 1, of julius caesar. brutus. grant t…
Brutus says that death is a benefit and that they did Caesar a favor by killing him, because that means he had less time to worry about dying. Then he asks everyone to bathe their…
-
assume that random guesses are made for 2 multiple - choice questions o…
$0.250$
-
assume that a procedure yields a binomial distribution with n = 4 trial…
$0.412$
-
read the excerpt from act 3, scene 1, of julius caesar. antony. o might…
C. "If I myself, there is no hour so fit / As Caesar's death - hour, nor no instrument / Of half that worth as those your swords" D. "Live a thousand years, / I shall not find mys…
-
multiple - choice questions each have five possible answers (a, b, c, d…
$P(CWC)=\frac{4}{125}$ $P(WCC)=\frac{4}{125}$
-
multiple - choice questions each have five possible answers (a, b, c, d…
$\frac{4}{125}$
-
based on a survey, assume that 25% of consumers are comfortable having …
The value of n is 5. The value of x is 3. The value of p is 0.25. The value of q is 0.75.
-
the accompanying table describes the random variable x, the numbers of …
B. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.
-
the accompanying table describes the random variable x, the numbers of …
$0.027$
-
the accompanying table describes the random variable x, the numbers of …
0.026
-
the accompanying table describes results from groups of 8 births from 8…
C. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability.
-
the accompanying table describes results from groups of 8 births from 8…
$0.023$
-
the accompanying table describes results from groups of 8 births from 8…
$0.019$
-
the accompanying table describes results from groups of 8 births from 8…
c. D. The result from part b, since it is the probability of the given or more extreme result. d. A. No, since the appropriate probability is greater than 0.05, it is not a signif…
-
the accompanying table describes results from groups of 8 births from 8…
D. The result from part b, since it is the probability of the given or more extreme result.