Question

The probability that Shruti succeeds at any given free-throw is 80%. She was curious how many free-throws she can expect to succeed in a sample of 12 Free-throws.She simulated 25 samples of 12 free-throws where each free-throw had a 0.8 probability of being a success. Shruti counted how many free-throws were successes in each simulated sample. Here are her results:

Answer 1

4/5

Step-by-step explanation:

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Answer 2

• Probability (10 or more successes) = 4/5

Step-by-step explanation:

The probabiity that she succeds at 10 or more free-throws in a sample of 12 free-throws is estimated from the simulation with 25 samples of 12 free-throws:

number of times she succeded at 10 or more free-throws

number of trials

The number of times she succeded at 10 or more free-throws is equal to the sum of the number of times she suceeded at 10 + number of times she suceeded at 11 + number of times she suceeded and 12 free-throws.

That is:

• 9 + 9 + 2 = 20

The number of trials is 25.

• Probability (10 or more successes) = 20/25 = 4/5