The salary for workers at a company are normally distributed with a mean of $60,000 and a standard deviation of $9,000. A random sample of 36 employees was taken. Find the probability that an employee selected at random makes over $75,000.

60% of all the students passed an exam. If a random sample of 10 students is selected, What is the mean and the standard deviation ?

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be less than 260 lbs?

One year, the distribution of salaries for professional sports players had a mean of $1.6 million and a standard deviation of $0.7 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeds $1.1 million.

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

The heights of women in the United States are normally distributed with a mean of 63.7 inches and a standard deviation of 2.7 inches. If you randomly select a woman in the United States, what is the probability that she will be between 65 and 67 inches tall?

The average height of women is 64 inches. The standard deviation is 2 inches. The heights have a normal distribution. Find the probability that a randomly selected woman is shorter 59 inches or taller than 68 inches.

In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a standard deviation of 34.4. A random sample of 64 students is drawn from this population. Identify the mean and standard deviation of the sample mean scores.   2. Find the probability that the sample mean score is at least 285.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is greater than 295.

The average credit card debt for college seniors is$3262. If the debit is normally distributed with a standard deviation of$1100, find the probability that the senior owes more than $4000.