Exam 6: The Normal Probability Distribution

i. The Empirical Rule of probability can be applied to the uniform probability distribution. ii. Areas within a continuous probability distribution represent probabilities. iii. The total area within a continuous probability distribution is equal to 1.

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 $24,000 and $30,000?

The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pounds, and the standard deviation of the normally distributed weights is 1.75 pounds. Of the 200 plants in the experiment, how many produced peppers weighing between 13 and 16 pounds?

What is the proportion of the total area under the normal curve within plus and minus two standard deviations of the mean?

The net profit from a certain investment is normally distributed with a mean of $10,000 and a standard deviation of $5,000. The probability that the investor will have a net loss is

For the normal distribution, the mean plus and minus 1.96 standard deviations will include about what percent of the observations?

Two normal distributions are compared. One has a mean of 10 and a standard deviation of 10. The second normal distribution has a mean of 10 and a standard deviation of 2. Which of the following it true?

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 between 20.75 and 23.25 ounces is ______.

The mean of any uniform probability distribution is

i. The mean of a normal distribution is represented by ?. ii. When referring to the normal probability function, there is not just one of them; there is a "family" of them. Iii) Some normal probability distributions have equal arithmetic means, but their standard deviations may be different.

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 less than $22,500?

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 percent of monthly charges are between $600 and $889?

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 z-score of the student from section 1 is______ .

i. The uniform probability distribution is symmetric about the mean and median. ii. The uniform probability distribution's shape is a rectangle. iii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.

What is the area under the normal curve between z = 0.0 and z = 2.0?

The mean of a normally distributed group of weekly incomes of a large group of executives is $1,000 and the standard deviation is $100. What is the z-score for an income of $1,100?

For the standard normal distribution, what z-score corresponds with the 85% percentile?

Two competitive brothers, who work in two different industries, were comparing their salaries. Because there is a difference of 4 years in their respective work experience, they decided to compare, not their actual salaries, but to compare their salaries against their company averages to see who is doing better. The following gives the brothers' salaries, companies' mean, and standard deviation for each company. What is the z-score of Andy's salary?

The mean of a normal probability distribution is 500 and the standard deviation is 10. About 95 percent of the observations lie between what two values?

Normally distributed observations such as a person's weight, height or shoe size occur quite frequently in nature. Business people who are aware of this use it to their advantage. A purchasing agent for a college bookstore buying 300 golf shirts used the normal curve to decide on the order quantities for the various sizes. If men's average shirt size is 15.5 with a standard deviation of .50,_____ shirts should be ordered in sizes over 16.5?