Solved: Find a value of the standard normal random

Chapter 4, Problem 89E

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QUESTION:

Find a value of the standard normal random variable z, call it \(z_0\), such that

a. \(P\left(z \leq z_0\right)=.2090\)

b. \(P\left(z \leq z_0\right)=.7090\)

c. \(P\left(-z_0 \leq z<z_0\right)=.8472\)

d. \(P\left(-z_0 \leq z<z_0\right)=.1664\)

e. \(P\left(z_0 \leq z \leq 0\right)=.4798\)

f. \(P\left(-1<z<z_0\right)\)

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QUESTION:

Find a value of the standard normal random variable z, call it \(z_0\), such that

a. \(P\left(z \leq z_0\right)=.2090\)

b. \(P\left(z \leq z_0\right)=.7090\)

c. \(P\left(-z_0 \leq z<z_0\right)=.8472\)

d. \(P\left(-z_0 \leq z<z_0\right)=.1664\)

e. \(P\left(z_0 \leq z \leq 0\right)=.4798\)

f. \(P\left(-1<z<z_0\right)\)

ANSWER:

Step 1 of 6

a) We have to find the standard normal random variable (z0)  from the given probabilities

 =0.209

Here area=0.209

               

Look at standard normal table for 0.209

 It gives at -0.81

Hence -0.81

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