SOLUTION: Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Let X be a rand

Question 973095: Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time. Find the 95 percentile point.
please provide each step
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Assume that the finishing times in a New York City 10-kilometer road race are normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Let X be a randomly selected finishing time. Find the 95 percentile point.
Solution:
P(Z < 1.645) ≈ 0.95
We want to find the 95th percentile x such that
= 1.645
= 1.645
x = 10*(1.645) + 50 = 66.45
Therefore, the 95th percentile point is minutes [2 decimal places]
RELATED QUESTIONS
As reported in Runner�s World magazine, the times of the finishers in the New York City... (answered by stanbon)

As reported in "Runner's World" magazine, the times of the finishers in the New York City (answered by Theo)

The one way commute time is 25.8 minutes. The longest one way travel time is in New York... (answered by amarjeeth123)

48% of New York city residents are New York state natives. a. If 3 people are surveyed... (answered by ikleyn)

Let x denote the time it takes to run a road race. Suppose x is approximately normally... (answered by ewatrrr)

Let x denote the time taken to run a road race. Suppose x is approximately normally... (answered by ewatrrr)

In recent year, grade 10 new york state public school students taking a geometry... (answered by reviewermath)

Assume that the readings on the thermometers are normally distributed with a mean of 0... (answered by richwmiller)