Solution Found!
Solved: Find a value of the standard normal random
Chapter 4, Problem 89E(choose chapter or problem)
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. \(P\left(-1<z<z_0\right)\)
Questions & Answers
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