Let the random variable X follow a normal distributionwith µ = 80 and σ2 = 100.a. Find the probability that X is greater than 60.b. Find the probability that X is greater than 72 and less than 82.c. Find the probability that X is less than 55.d. The probability is 0.1 that X is greater than what number?e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

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

Let the random variable X follow a normal distribution
with µ = 80 and σ2 = 100.
a. Find the probability that X is greater than 60.
b. Find the probability that X is greater than 72 and less than 82.
c. Find the probability that X is less than 55.
d. The probability is 0.1 that X is greater than what number?
e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

Expert Solution
trending now

Trending now

This is a popular 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.
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