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
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