1. (a) Find the probability that a 90% free-throw shooter makes 10 consecutive free-throws, assuming that individual shots are independent.

Step-by-step explanation:

Given

Probability of success free throw = 90%

Number of throw = 10

Required

Determine the probability of 10 consecutive free throws

Let p represents the given probability

Convert to decimal

Let n represents the number of throw

Provided that each throw is independent;

The probability of n consecutive free throw is

Substitute 0.9 for p and 10 for n

(Approximated)

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

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step-by-step explanation: