The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. a) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. b) Solve the probability mean life of smart phone of brand B is more than 4 years. c) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B.

a) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years.

b) Solve the probability mean life of smart phone of brand B is more than 4 years.

c) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
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, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman