The age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years. If 16 professors are chosen at random for a committee, find the probability that the average age of those professors is greater than 42.0 years.

Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2 years. Suppose we obtain a random sample of 80 tulane undergraduates. Find the probability that the sample average is at least 20.3 years.

The electric bills for all households in a large city have the normal distribution with a mean of $68 per month and a standard deviation of $10. Find the probability that an electric bill is greater than $70.

Suppose that heights of women at UT Tyler are normally distributed with a mean of 64 inches and a standard deviation of 2.4 inches.    Find the probability that a collection of 16 women have an average height less than 62 inches tall.

On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a standard deviation of 16.8. A student is randomly selected. Find the probability that his/her score is between 60 and 80.

Suppose that the ages of all MIT students are normally distributed with mean 24.01 yrs and s.d. 5.31 yrs. Find the probability that a randomly selected MIT student is older than 20 yrs. Find the 95th percentile of the ages of all MIT students.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm. Find the probability that the length of a randomly selected steel rod is between 122.8-cm and 123.2-cm.

One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations. One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’…

A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. Find the probability that 2 of the next 3 trips will take at least 1/2 hour. Choices: a. 0.3974 b. 0.0571 c. 0.0092 d. 0.0004

A report claimed that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assuming the variable is normally distributed and the standard deviation is 3 hours. If 40 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.