Question

A spinner has two equal sections, one green and one orange. The spinner is spun three times, resulting in the sample space S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}. If the random variable X represents the number of times orange, O, is spun, which graph represents the probability distribution?

A probability distribution is shown. The probability of 0 is 1; 1 is 3; 2 is 3; 3 is 1.
A probability distribution is shown. The probability of 0 is 0.13; 1 is 0.38; 2 is 0.38; 3 is 0.12.
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.
A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.5; 2 is 0.25; 3 is 0.12.

Answer 1

B

Explanation:

I took the test

Answer 2

A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.

Explanation:

The graph that represents the probability distribution is:

A probability distribution is shown. The probability of 0 is 0.12; 1 is 0.25; 2 is 0.5; 3 is 0.12.

In this probability distribution, X can take the values 0, 1, 2, or 3. The probabilities of each value are:

P(X = 0) = 1/8 = 0.12

P(X = 1) = 3/8 = 0.38

P(X = 2) = 3/8 = 0.38

P(X = 3) = 1/8 = 0.12

The graph that corresponds to these probabilities has a peak at X = 2, and the probabilities decrease as we move away from the peak towards X = 0 and X = 3.