Applications with Standard Normal Distribution

Question 1

16%26%73%98%

Revolt · Accepted Answer

26%

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

%

Revolt · Accepted Answer

8

Question 4

1.251.52.5

Revolt · Accepted Answer

1.25

Question 5

11%40%60%89%

Revolt · Accepted Answer

89%

Question 6

P(z > –2.1)1–P(z 2.1)

Revolt · Accepted Answer

1–P(z < 2.1)

Question 7

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 8

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 9

0.01790.58320.98211

Revolt · Accepted Answer

0.0179

Question 10

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.

Applications with Standard Normal Distribution Answers

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