. A car service shop services a vehicle with an average of 15 minutes and standard deviation of 2 minutes. Assuming the length of time is normally distributed,a) what is the probability that you will get your car serviced in more than 18 minutes?b) what is the probability that you will get your car serviced in less than 14 minutes?c) how long it will take for the middle 70% of customers to get their car serviced?

Answered: A car service shop services a vehicle…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

See similar textbooks

Related questions

Concept explainers

Question

. A car service shop services a vehicle with an average of 15 minutes and standard deviation of 2 minutes. Assuming the length of time is normally distributed,

a) what is the probability that you will get your car serviced in more than 18 minutes?
b) what is the probability that you will get your car serviced in less than 14 minutes?
c) how long it will take for the middle 70% of customers to get their car serviced?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.