Question

Asked Jul 29, 2019

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Given a standardized normal distrubtion (with a mean of 0 and a standard deviation of 1, as in Table E.2) what is the probability that

a. Z is less than 1.57?

b. Z is greater than 1.84?

c. Z is between 1.57 and 1.84?

d. Z is less than 1.57 or greater than 1.84?

Step 1

**Standard normal distribution:**

The standard normal distribution is a special case of normal distribution, in which the mean of the distribution is 0 and standard deviation of the distribution is 1. The *Z*-scores can be calculated using the given formula.

Step 2

**a. Probability of Z is less than 1.57:**

The probability of Z is less than 1.57 is found to be **0.9418** from the calculation given below.

Step 3

**b. Probability of Z is greater than 1.84:**

The probability of Z is greater than 1.84 is fou...

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