Exam 7: Continuous Probability Distributions

A machine dispenses water into a glass.Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces,the standard deviation of the amount of water dispensed is about

The figure shows a standard normal N(0,1)distribution.Find the shaded area.

If the mean time between in-flight aircraft engine shutdowns is 12,500 operating hours,the 90th percentile of waiting times to the next shutdown will be

The number of lightning strikes in a day in Miami is a continuous random variable.

If the mean waiting time for the next arrival is 12 minutes,what is the median waiting time?

The mean,median,and mode of a normal distribution will always be the same.

A student's grade on an examination was transformed to a z value of 0.67.Assuming a normal distribution,we know that she scored approximately in the top

The figure shows a standard normal N(0,1)distribution.Find the z value for the shaded area.

If arrivals occur at a mean rate of 3.6 events per hour,the exponential probability of waiting more than 0.5 hour for the next arrival is

The normal distribution is a good approximation to the binomial if n = 200 and π = .03.

What are the mean and standard deviation for the standard normal distribution?

There is a simple formula for normal areas,but we prefer a table for greater accuracy.

The probability that a rental car will be stolen is 0.001.If 25,000 cars are rented from Hertz,what is the normal approximation to the probability that fewer than 20 will be stolen?

Experience suggests that 4 percent of all college students have had a tonsillectomy.In a sample of 300 college students,we need to find the probability that at least 10 have had a tonsillectomy.It is acceptable to use the normal distribution to estimate this probability.

The time required for a citizen to complete the 2010 U.S.Census "long" form is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes.What is the third quartile (in minutes)for the time required to complete the form?

The figure shows a standard normal N(0,1)distribution.Find the shaded area.

If GMAT scores for applicants at Oxnard Graduate School of Business are N(500,50),then the top 5 percent of the applicants would have a score of at least (choose the nearest integer)

For a continuous random variable,the total area beneath the PDF will be greater than zero but less than one.

Compared to the area between z = 1.00 and z = 1.25,the area between z = 2.00 and z = 2.25 in the standard normal distribution will be

The area under the normal curve between z = 0 and z = 1 is ________ the area under the normal curve between z = 1 and z = 2.