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Exam 6: The Normal Probability Distribution

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Question 51

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A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½ ounces. -The probability that a loaf of bread is < 20 ounces is______ .

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Question 52

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For a standard normal distribution, what is the probability that z is greater than 1.75?

A) 0.0401
B) 0.0459
C) 0.4599
D) 0.9599
E) None of the choices are correct

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Question 53

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A sample of 500 evening students revealed that their annual incomes from employment in industry during the day were normally distributed with a mean income of $30,000 and a standard deviation of $3,000. -_______students earned between $27,000 and $33,000?

A major credit card company has determined that customers charge between $100 and $1,100 per month. Given that the average monthly amount charged is uniformly distributed, what is the standard deviation of the monthly amount charged?

The employees of Cartwright Manufacturing are awarded efficiency ratings. The distribution of the ratings approximates a normal distribution. The mean is 400, the standard deviation 50. What is the area under the normal curve between 400 and 482?

The upper and lower limits of a uniform probability distribution are

The normal distribution is a(n) ______probability distribution.

A study of a company's practice regarding the payment of invoices revealed that on the average an invoice was paid 20 days after it was received. The standard deviation equalled five days. Assuming that the distribution is normal, what percent of the invoices were paid within 15 days of receipt?

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years, (based on data from "Getting Things Fixed," Consumer Reports). -The student from Section ______scored better compared to the rest of their section.

Which of the following is NOT true regarding the normal distribution?

A sample of 500 evening students revealed that their annual incomes were normally distributed with a mean income of $50,000 and a standard deviation of $4,000. What is the income that separates the top 25% from the lower 75% of the incomes?

What is the area under the normal curve between z = 0.0 and z = 1.79?

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years, (based on data from "Getting Things Fixed," Consumer Reports). -The replacement time that separated the top 20% from the bottom 80% is______ years.

i. In terms of a formula the standardized value of z is found by z = (X - µ) /?. ii. The standard normal distribution is a special normal distribution with a mean of 0 and a standard deviation of 1. Iii) A computed z for X values to the right of the mean is positive.

Determine the z-score associated with an area of .1950 from the mean of a normal distribution to that positive z-score.

Determine the z-score associated with an area of 0.4925 from the mean of a normal distribution to that negative z-score.

Which of the following is NOT a characteristic of the normal probability distribution?

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean of $37,200 and a standard deviation of $800. About 68 percent of the incomes lie between what two incomes?

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½ ounces. -The probability that a loaf of bread is > 23 ounces is______ .

A loaf of bread is normally distributed with a mean of 22 ounces and a standard deviation of ½ ounces. -The probability that a loaf of bread is > 21 ounces is ______.