   Chapter 8.4, Problem 14E ### 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. z > − 1.6

To determine

To calculate: The probability for a z- score if the standard normal distribution will lie within each of the interval for z>1.6.

Explanation

Given Information:

The interval z>1.6.

Calculation:

Consider the provided interval z>1.6,

As normal distribution is symmetric about mean 0.5.

So this implies that,

P(z>1.6)=0.5+P(z1.6) …… (1)

Now find the probability of P(z1.6).

To find the probability look in the column headed by z for the value of 1.6 in appendix C. In the column headed by A across 1.6 the value is 0.4452.

Thus the probability P(z1.6) is A1

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