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The random variable x is best described by a uniform
Chapter 4, Problem 137E(choose chapter or problem)
Problem 137E
The random variable x is best described by a uniform probability distribution with c = 100 and d = 200. Find the probability that x assumes a value
a. More than 2 standard deviations from μ.
b. Less than 3 standard deviations from μ.
c. Within 2 standard deviations of μ.
Questions & Answers
QUESTION:
Problem 137E
The random variable x is best described by a uniform probability distribution with c = 100 and d = 200. Find the probability that x assumes a value
a. More than 2 standard deviations from μ.
b. Less than 3 standard deviations from μ.
c. Within 2 standard deviations of μ.
ANSWER:
Solution :
Step 1 of 3:
Given the random variable x is best described by a uniform probability distribution with c=100 and d=200.
Then f(x) is
f(x) =
f(x) =
f(x) =
f(x) = 0.01.
Then,
Now we have to find the probability that the assume value.
First we have to find the mean .
The formula for the is
=
We know that c=100 and d=200.
=
=
= 150
Therefore, the mean is 150.
Then we need to find the standard deviation .
The formula for is
=
We know that c=100 and d=200.