Question

Steph Curry is one of the best free throw shooters in the National Basketball association. He makes 92% of this free throw attempts. Assume he gets fouled while attempting a three-point shot. He gets three free throw attempts. Use this information to address ALL questions: What is the probability he makes all three of his attempts?

Answer 1

i needed points sry-

Explanation:

Answer 2

The probability that he makes the free throw in all three attempts is 0.7787.

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:

`P(X=x)={n\choose x}p^(x)(1-p)^(n-x)`

The probability that he makes the free throw in all three attempts is:

`P(X=3)={3\choose 3}(0.92)^(3)(1-0.92)^(3-3)\\=1* 0.778688* 1\\=0.778688\\\approx0.7787`

Thus, the probability that he makes the free throw in all three attempts is 0.7787.