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

Question 2

Revolt · Accepted Answer

B

Question 3

Question 3

Revolt · Accepted Answer

A

Question 4

Question 4

Revolt · Accepted Answer

B

Question 5

Question 5

Revolt · Accepted Answer

C

Question 6

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

C: –1.75

Question 7

Did your answer include the following?

Revolt · Accepted Answer

A: The standard normal table gives areas under the curve to the left of z-scores.; B: Find the probability in the standard normal table that a value is to the left of 1.9.; C: Find the probability in the standard normal table that a value is to the left of 0.4.; D: 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 8

Question 8

Revolt · Accepted Answer

8

Question 9

Question 9

Revolt · Accepted Answer

D

Question 10

Question 10

Revolt · Accepted Answer

A

Applications with Standard Normal Distribution Answers

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