Respuesta :
Answer:
The probability that he makes the free throw in all three attempts is 0.7787.
Step-by-step explanation:
Let X = number of free throw attempts Steph Curry makes.
The probability that Steph Curry makes a free throw is, p = 0.92.
The number of free throws he gets is, n = 3.
Then the random variable X follows a Binomial distribution with parameters, n = 3 and p = 0.92.
The probability function for binomial is:
[tex]P(X=x)={n\choose x}p^{x}(1-p)^{n-x}[/tex]
The probability that he makes the free throw in all three attempts is:
[tex]P(X=3)={3\choose 3}(0.92)^{3}(1-0.92)^{3-3}\\=1\times 0.778688\times 1\\=0.778688\\\approx0.7787[/tex]
Thus, the probability that he makes the free throw in all three attempts is 0.7787.
