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Chapter 7: Q.11 (page 428)

Find the probability that the sum of the 40 values is greater than7,500.

Short Answer

Expert verified

The probability that the sum of the 40 values is greater than 7500isP(X鈮�7500)=0.0089.

Step by step solution

01

Given Information

A mean (渭x)is180and a standard deviation (蟽x) is 20and sample size (n)is40.

02

Explanation

To find the probability that the sum of the 40values is less than that 7500:

鈭�X~Nn渭x,n蟽x

鈭�X~N((40)(180),(40)(20))

P(X鈮�7500)=PZ鈮�X-n渭xn蟽x=PZ鈮�7500-7200126.4911=P(Z鈮�2.3717)

P(X鈮�7500)=0.0089

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Most popular questions from this chapter

What is the mean, standard deviation, and sample size?

The length of time a particular smartphone's battery lasts

follows an exponential distribution with a mean of ten months. A sample of 64 of these smartphones is taken.

a. What is the standard deviation?

b. What is the parameter m ?

Find the probability that the sum of the 100 values falls between the numbers you found in and.

An unknown distribution has a mean of 80and a standard deviation of 12. A sample size of 95is drawn randomly from the population.

Find the probability that the sum of the 95values is less than 7400.

An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X=one object of interest.

What is P(危x>9,000)?
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