Azman uses his mobile phone for X minutes each day. X is a random variable which may be modelled by a normal distribution with mean 28 minutes and standard deviation 8 minutes. (a) Find the probability that on a particular day Azman uses his mobile phone for: less than 30 minutes (i) (ii) between 10 and 20 minutes (b) Calculate an interval, symmetrical about 28 minutes, within which X will lie on 80% of days.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Azman uses his mobile phone for X minutes each day. X is a random variable
which may be modelled by a normal distribution with mean 28 minutes and
standard deviation 8 minutes.
(a) Find the probability that on a particular day Azman uses his mobile
phone for:
(i)
(ii) between 10 and 20 minutes
less than 30 minutes
(b) Calculate an interval, symmetrical about 28 minutes, within which X
will lie on 80% of days.
Transcribed Image Text:Azman uses his mobile phone for X minutes each day. X is a random variable which may be modelled by a normal distribution with mean 28 minutes and standard deviation 8 minutes. (a) Find the probability that on a particular day Azman uses his mobile phone for: (i) (ii) between 10 and 20 minutes less than 30 minutes (b) Calculate an interval, symmetrical about 28 minutes, within which X will lie on 80% of days.
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, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON