The Rent-n-Drive car rental company knows from experience that the number of miles per day that customers drive a rental car upon renting is normally distributed with a mean of 175 miles/day. The company also knows that only 5% of the times are their rental cars driven more than 250 miles/day upon renting. Today the company has rented 5 cars to customers, what is the probability that the averaged miles/day driven by these customers will exceed 200 miles/day?
The Rent-n-Drive car rental company knows from experience that the number of miles per day that customers drive a rental car upon renting is normally distributed with a mean of 175 miles/day. The company also knows that only 5% of the times are their rental cars driven more than 250 miles/day upon renting. Today the company has rented 5 cars to customers, what is the probability that the averaged miles/day driven by these customers will exceed 200 miles/day?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
The Rent-n-Drive car rental company knows from experience that the number of miles per day that customers drive a rental car upon renting is
- Today the company has rented 5 cars to customers, what is the
probability that the averaged miles/day driven by these customers will exceed 200 miles/day?
Expert Solution
Step 1
Given :
the number of miles per day that customers drive a rental car upon renting is normally distributed with
a mean of 175 miles/day
We need to calculate the standard deviation from the information given
P(X >x) = 0.05 , X = 250 miles
First we need to find the corresponding Z value to probability 0.05
Using Excel : | =NORM.S.INV(0.95) |
Z value = 1.645
Step by step
Solved in 2 steps
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