Question

The probability that Rahul succeeds at any given free-throw is 70%, percent. He was curious how many free-throws he can expect to succeed in a sample of 15 free-throws.

He simulated 30 samples of 15 free-throws where each free-throw had a 0.7, probability of being successful.

Rahul counted how many free-throws were successful in each simulated sample. Here are his results:

(picture attached)

Use his results to estimate the probability that he succeeds at 11 or fewer free-throws in a sample of 15 free-throws. Give your answer as either a fraction or a decimal.

P(11 or fewer sucessess) =

Answer 1

Answer:

0.2

Step-by-step explanation:

i took the test on khan academy :D

Answer 2

The probability of the number of times from the result that he got 11 or fewer free throws is; P(11 or fewer sucessess) = 0.2

How to find probability of success?

We are told that he simulated 30 samples. From the dot plot, we can see how many times he got 10 free throws, 11 free throws, 12 free throws, 13 free throws, 14 free throws, 15 free throws.

Now, from the dot plot, the number of times that he had 11 or fewer free throw successes is 6 times.

Thus;

P(11 or fewer sucessess) = 6/30

P(11 or fewer sucessess) = 1/5

P(11 or fewer sucessess) = 0.2

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