It is known that a certain basketball player will successfully make a free throw 85.13% of the time. Suppose that the basketball player attempts to make 13 free throws. What is the probability that the basketball player will make at least 11 free throws? Let X be the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable. E(X)= σ=

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**Probability and Statistics: Free Throw Problem**

It is known that a certain basketball player will successfully make a free throw 85.13% of the time. Suppose that the basketball player attempts to make 13 free throws. What is the probability that the basketball player will make at least 11 free throws?

[  ]

Let \( X \) be the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable.

\[ E(X) = [  ] \]

\[ \sigma = [  ] \]
Transcribed Image Text:**Probability and Statistics: Free Throw Problem** It is known that a certain basketball player will successfully make a free throw 85.13% of the time. Suppose that the basketball player attempts to make 13 free throws. What is the probability that the basketball player will make at least 11 free throws? [ ] Let \( X \) be the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable. \[ E(X) = [ ] \] \[ \sigma = [ ] \]
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