The mean age at which men in the United States marry for the first time follows the normal distribution with...

The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.7 years. The standard deviation of the distribution is 2.8 years.

For a random sample of 60 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.)

What is the probability exactly one of the seven audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)

What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.

What is the expected number of admissions for the fall semester?

Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)