Solution Found!
Assume that X is normally distributed with a mean of 5 and
Chapter 4, Problem 70E(choose chapter or problem)
QUESTION:
Assume that X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x that solves each of the following:
(a) \(P(X>x)=0.5\)
(b) \(P(X>x)=0.95\)
(c) \(P(x<X<9)=0.2\)
(d) \(P(3<X<x)=0.95\)
(e) \(P(-x<X-5<x)=0.99\)
Questions & Answers
QUESTION:
Assume that X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x that solves each of the following:
(a) \(P(X>x)=0.5\)
(b) \(P(X>x)=0.95\)
(c) \(P(x<X<9)=0.2\)
(d) \(P(3<X<x)=0.95\)
(e) \(P(-x<X-5<x)=0.99\)
ANSWER:Solution:
Step 1 of 6:
Let X is a normally distributed with a mean of 5 and a standard deviation of 4.
We have to find value for x that satisfying the following probabilities.
- P(X>x) = 0.5
- P(X>x) = 0.95
- P(x<X<9)= 0.2
- P(3<X<x) = 0.95
- P(-x<X-5<x) = 0.99