   # Given that z is a standard normal random variable, compute the following probabilities. a. P ( z ≤ −1.0) b. P ( z ≥ −1) c. P ( z ≥ −1.5) d. P (−2.5 ≤ z ) e. P (−3 &lt; z ≤ 0) 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 6.2, Problem 11E
Textbook Problem
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## Given that z is a standard normal random variable, compute the following probabilities. a. P(z ≤ −1.0) b. P(z ≥ −1) c. P(z ≥ −1.5) d. P(−2.5 ≤ z) e. P(−3 < z ≤ 0)

a.

To determine

Compute the value of P(z1.0).

### Explanation of Solution

Calculation:

The variable z follows a standard normal distribution.

From “Appendix B: Table 1 cumulative probabilities for the standard normal distribution”, the value of z under –1.0 corresponding to 0...

b.

To determine

Compute the value of P(z1.0).

c.

To determine

Compute the value of P(z1.5).

d.

To determine

Compute the value of P(2.5z).

e.

To determine

Compute the value of P(3<z0).

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