Your friend is attempting 10 free throws, and from experience

Haven

Haven

Answered question

2021-10-01

Your friend is attempting 10 free throws, and from experience, you know that your friend’s probability of scoring a free throw is 0.7. What is the probability that your friend would score 8 free throws ?

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-10-02Added 109 answers

Step 1
The number of free throws, with a binomial distribution, a sample size of 10, and a success probability of 0.7, is the definition of the random variable X.
The binomial probability distribution is,
P(X=x)=(nx)(p)x(1p)nx
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
Step 2
The probability that would score 8 free throws is,
P(X=8)=(108)(0.7)8(10.7)108
=45×0.05764801×0.09
=0.2335
Thus, the probability that would score 8 free throws is 0.2335.

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