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Chapter 6: Q. 48 (page 387)

If the area to the left of xin a normal distribution is 0.123, what is the area to the right of x?

Short Answer

Expert verified

The area to the right of thexis0.877

Step by step solution

01

Given Information

Given in the question that, the area to the left of xin a normal distribution is 0.123

We have to find the area to the right of thex

02

Explanation

Consider the information given in the question,

The area to the left of xcan be represented in probability statement as P(X<x)=0.123

Therefore, the area to the right of the xcan be computed as follow:

P(X>x)=1鈭�P(X<x)

=1鈭�0.123

=0.877

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Most popular questions from this chapter

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.

Seventy percent of the time, it takes more than how many minutes to find a parking space?

a. 1.24

b. 2.41

c. 3.95

d. 6.05

A NUMMI assembly line, which has been operating since 1984, has built an average of 6,000 cars and trucks a week. Generally, 10% of the cars were defective coming off the assembly line. Suppose we draw a random sample of n=100 cars. Let X represent the number of defective cars in the sample. What can we say about X in regard to the 68-95-99.7 empirical rule (one standard deviation, two standard deviations and three standard deviations from the mean are being referred to)? Assume a normal distribution for the defective cars in the sample.

Use the following information to answer the next two exercises: The life of Sunshine CD players is normally distributed with mean of 4.1 years and a standard deviation of 1.3 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts.

X~_____(_____,_____)

What does a z-score measure?

How would you represent the area to the left of one in a probability statement?
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