   Chapter 8.4, Problem 10E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Find the probability that a z-score from the standard normal distribution will lie within each of the intervals in Problems 1-14. 10.  1 .85  ≤   z   ≤ 2 .85

To determine

To calculate: The probability that a z - score from the standard normal distribution will lie within each of the interval for 1.85z2.85.

Explanation

Given Information:

The interval 1.85z2.85

Calculation:

Consider 1.85z2.85,

The probability that the z lies between 1.85 and 2.85 is equal to the area that lies under the curve from 1.85 and 2.85.

As P(1.85z2.85)=P(0z2.85)P(0z1.85) …… (1)

Now solve the both probabilities separately.

Now find the probability of P(0z2.85).

To find the probability look in the column headed by z for the value of 2.85 in appendix C. In the column headed by A across 2.85 the value is 0.4978.

Thus, the probability P(0z2.85) is A2.85

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