Question

2a. if i randomly choose 1 student at random from the distribution, what is the probability he/she got an f? round to the tenth. 2 2b. if i randomly choose 1 student at random from the distribution, what is the probability he/she did not get an a or b? round to the tenth.

Explanation:

Step1: Use the property of probability distribution

The sum of all probabilities in a probability distribution is \(1\). Let \(P(F)\) be the probability of getting an \(F\). Then \(P(A)+P(B)+P(C)+P(D)+P(F) = 1\).

Step2: Calculate \(P(F)\) for part 2a

Substitute the given values: \(0.1 + 0.3+0.35 + 0.05+P(F)=1\).

$$
LATEXBLOCK0
$$

Step3: Calculate the probability of not getting \(A\) or \(B\) for part 2b

The probability of getting \(A\) or \(B\) is \(P(A\cup B)=P(A)+P(B)=0.1 + 0.3=0.4\).
The probability of not getting \(A\) or \(B\) is \(P(\overline{A\cup B})=1-(P(A)+P(B))\).

$$
LATEXBLOCK1
$$

Answer:

2a. \(0.2\)
2b. \(0.6\)