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A basketball player has a 0. 603 probability of making a free throw. if the player shoots 10 free throws, what is the probability that she makes exactly 6 of them?

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tushargupta0691

The probability that she makes 6 of them is 0.242

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

A basketball player has a probability = 0. 603

The player shoots 10 free throws.

Let x be a random variable that represents the number of free throws made by a basketball player.

x ≈ Binomial (n,p)

p = 0.603

n= 10

P(x=k) = [tex]_nC_k p^k (1-p)^{n-k}[/tex]

P(6)    [tex]= _1_0C_6 (0.603)^6 (1-0.603)^{10-6}[/tex]

           [tex]=210 (0.048) (0.397)^4[/tex]

           [tex]=210 (0.048)(0.024)[/tex]

           [tex]= 0.242[/tex]

Therefore, the probability that she makes 6 of them is 0.242

Learn more about probability here:

https://brainly.com/question/7965468

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