Applications with Standard Normal Distribution

Question 1

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 = –0.570.57–1.751.75.

Revolt · Accepted Answer

–1.75

Question 2

The probability that a battery you buy lasts at most 100 hours is about 4%16%84%96%.

Revolt · Accepted Answer

4%

Question 3

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

Revolt · Accepted Answer

Use the standard normal table to find the areas to the left of z = 1.9 and z = 0.4, then subtract the smaller left-tail area from the larger: 0.9713 - 0.6554 = 0.3159.

Question 4

1.251.52.5

Revolt · Accepted Answer

1.25

Question 5

P(z > –2.1)1–P(z 2.1)

Revolt · Accepted Answer

1–P(z < 2.1)

Question 6

%

Revolt · Accepted Answer

8

Question 7

11%40%60%89%

Revolt · Accepted Answer

89%

Question 8

0.01790.58320.98211

Revolt · Accepted Answer

0.0179

Question 9

Using the standard normal table, about what percent of American adults have borderline-high cholesterol levels?5%35%40%90%

Revolt · Accepted Answer

40%

Question 10

16%26%73%98%

Revolt · Accepted Answer

26%

Applications with Standard Normal Distribution Answers

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