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?

Respuesta :

The probability that she makes 6 of them is 0.242

The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.

Given,

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) =  n[tex]C_{k} p^{k} (1-p)^{n-k}[/tex]

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

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

      = 210 ( 0.048 ) ( 0.024)

      = 0.242    

           

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

Learn more about probability here: https://brainly.com/question/28046280

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