1. Suppose Z represents the standard normal random variable. If a value is selected at random from the standard normal distribution, find the probability that Z is: a. Less than 0 b. Between -2.35 and 1.65 c. Greater than 1.86 d. Greater than -2.15 and less than 1.67 e. Less than -1.92 or greater than 2.41

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3.4.1
1. Suppose Z represents the standard normal random variable. If a value is selected at random from
the standard normal distribution, find the probability that Z is:
a. Less than 0
b. Between -2.35 and 1.65
c. Greater than 1.86
d. Greater than -2.15 and less than 1.67
e. Less than -1.92 or greater than 2.41
Transcribed Image Text:3.4.1 1. Suppose Z represents the standard normal random variable. If a value is selected at random from the standard normal distribution, find the probability that Z is: a. Less than 0 b. Between -2.35 and 1.65 c. Greater than 1.86 d. Greater than -2.15 and less than 1.67 e. Less than -1.92 or greater than 2.41
Expert Solution
Step 1- Writing given data

Given that 

Z represents the standard normal variable.

Random value from standard normal distribution.

 

We know that 

Total area under normal distribution curve is  1 (one).

Half area under the curve = 0.5

 

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