Question

The mean amount of time it takes a kidney stone to pass is 14 days and the standard deviation is 6 days. Suppose that one individual is randomly chosen. Let X=time to pass the kidney stone. Round all answers to two decimal places.

Answer 1

The probability that a person will take longer than 21 days to pass it is 0.12

Explanation:

Given:

Mean time, μ = 14 days

Standard deviation, ρ = 6 days

Let x be the time to pass the kidney stones.

Probability that a person will take longer than 21 days to pass it.

We need to find z score first

Z score = $\frac{x - u}{p}$

Z score = $\frac{21-14}{6}$

            = 1.166

Probability that a person will take longer than 21 days to pass it = P(x > Z)

                                                                                                          = P(x > 1.16)

                                                                                                          = 0.12

Therefore, the probability that a person will take longer than 21 days to pass it is 0.12