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

Step-by-step 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 =
`(x - u)/(p)`

Z score =
`(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