Applications with Standard Normal Distribution

Question 1

Explain how to use the standard normal table to find the probability associated with the shaded area under the curve.

Revolt · Accepted Answer

To find the probability of the shaded area between z 0.4 and z 1.9, first use the standard normal table to find the cumulative area to the left of z 1.9. Then, find the cumulative area to the left of z 0.4. Subtract the area for z 0.4 from the area for z 1.9 to find the probability of being within that specific interval.

Question 2

Did your answer include the following?

Revolt · Accepted Answer

The standard normal table gives areas under the curve to the left of z-scores.; Find the probability in the standard normal table that a value is to the left of 1.9.; Find the probability in the standard normal table that a value is to the left of 0.4.; Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.

Question 3

The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the probability that a battery you buy lasts at most 100 hours? Standardize the variable.x = 100 is equivalent to z = .

Revolt · Accepted Answer

–1.75

Question 4

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Revolt · Accepted Answer

mc001-4.jpg

Question 5

The probability that a battery you buy lasts at most 100 hours is about .

Revolt · Accepted Answer

4%

Applications with Standard Normal Distribution Answers

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