Find each of the following probabilities for the standard

Chapter 4, Problem 87E

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QUESTION:

Find each of the following probabilities for the standard normal random variable z:

a. \(P(-1 \leq z \leq 1)\)

b. \(P(-1.96 \leq z \leq 1.96)\)

c. \(P(-1.645 \leq z \leq 1.645)\)

d. \(P(-2 \leq z \leq 2)\)

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QUESTION:

Find each of the following probabilities for the standard normal random variable z:

a. \(P(-1 \leq z \leq 1)\)

b. \(P(-1.96 \leq z \leq 1.96)\)

c. \(P(-1.645 \leq z \leq 1.645)\)

d. \(P(-2 \leq z \leq 2)\)

ANSWER:

Solution

Step 1 of 4

We have to find the probabilities of standard normal random variable Z

a)

                              =0.3413+0.3413

                              =0.6826

Hence )=0.6826


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