SOLUTION: Suppose Z is a standard normal random variable. Question 1:If P(-z < Z < z) = 0.7498, find z.(round 4 decimal places) Question 2:Find P( -1.87 < Z < -0.98).(round 4 decima

Algebra ->  Statistics  -> Normal-probability -> SOLUTION: Suppose Z is a standard normal random variable. Question 1:If P(-z < Z < z) = 0.7498, find z.(round 4 decimal places) Question 2:Find P( -1.87 < Z < -0.98).(round 4 decima      Log On


   

Question 1020204: Suppose Z is a standard normal random variable.
Question 1:If P(-z < Z < z) = 0.7498, find z.(round 4 decimal places)

Question 2:Find P( -1.87 < Z < -0.98).(round 4 decimal places)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the half value since 0.5-0.7498%2F2=0.1251
Find the corresponding z that has a P(z) equal to 0.1251.
z=-1.1499
.
.
.
P%28-0.98%29=0.460966
P%28-1.87%29=0.030742
P=P%28-0.98%29-P%28-1.87%29
P=0.460966-0.030742
P=0.4302