The random variable x can be adequately approximated by an

Chapter 4, Problem 138E

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QUESTION:

Problem 138E

The random variable x can be adequately approximated by an exponential probability distribution with θ = 2. Find the probability that x assumes a value

a. More than 3 standard deviations from μ.

b. Less than 2 standard deviations from μ.

c. Within half a standard deviation of μ.

Questions & Answers

QUESTION:

Problem 138E

The random variable x can be adequately approximated by an exponential probability distribution with θ = 2. Find the probability that x assumes a value

a. More than 3 standard deviations from μ.

b. Less than 2 standard deviations from μ.

c. Within half a standard deviation of μ.

ANSWER:

Solution:

Step 1 of 4:

It is given that the random variable x is approximately distributed as Exponential with =2.

 We have to find the probability of x that assumes a particular value.


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