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In: Statistics and Probability

In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.95 of...

In a national basketball​ association, the top​ free-throw shooters usually have probability of about 0.95 of making any given free throw. Complete parts a through c.
a. During a​ game, one such player shot 11 free throws. Let X =number of free throws made. What must you assume in order for X to have a binomial​ distribution?
b. Specify the values of n and p for the binomial distribution of X in part a.
c. Find the probability that the player made all 11 free​ throws, 10 free​ throws, and more than 8 free throws.

Solutions

Expert Solution

a)

Assumption- For X to have a Binomial distribution, all the free throws should be independent of each other.

b)

Here,

So, n=11 and p=0.95

c)

orchestra answered 2 years ago
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