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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 6.2, Problem 12E
Textbook Problem
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Given that z is a standard normal random variable, compute the following probabilities.

  1. a. P(0 ≤ z ≤ 83)
  2. b. P(−1.57 ≤ z ≤ 0)
  3. c. P(z > .44)
  4. d. P(z ≥ −.23)
  5. e. P(z < 1.20)
  6. f. P(z ≤ −.71)

a.

To determine

Compute the value of P(0z0.83).

Explanation of Solution

Calculation:

The variable z follows a standard normal distribution.

The value of P(0z0.83) is,

P(0z0.83)=P(z0.83)P(z0)

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

b.

To determine

Compute the value of P(1.57z0).

c.

To determine

Compute the value of P(z0.44).

d.

To determine

Compute the value of P(z0.23).

e.

To determine

Compute the value of P(z<1.20).

f.

To determine

Compute the value of P(z0.71).

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Chapter 6 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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