Question

The probability that Maria succeeds at any given free-throw is 75%. She was curious how many free-throws she can expect to succeed in a sample of 10 free-throws. She simulated 25 samples of 10 free-throws where each free-throw had a 0.75 probability of being a success. Maria counted how many free-throws were successes in each simulated sample. Here are her results:​

Answer 1

Answer:

5: 0 successes

6: 5 successes

7: 8 successes

8: 6 successes

9: 6 successes

10: 1 success

We need to use her results to estimate the probability that she succeeds at fewer than 7 free-throws in a sample of 10 free-throws.

First, find out how many successes were less than 7 (out of 25), which is 5.

now, we divide 5 by 25 (5/25, formula being number/total attempts) and simplify into a decimal, which comes out to 0.2

Probability w/ Venn Diagrams

Step-by-step explanation: