1. The cost of university education is normally distributed with average of $200 and standard deviation of $50 per week. What is the probability that students pay more than $220 per week? What is the probability that in a sample of size 49, average is greater than $205?

Student loan debt is the only form of consumer debt that has grown since the peak of consumer debt in 2008. The average student loan of somebody younger than 30 is ​

Suppose the mean income of firms in the industry for a year is $25 million with a standard deviation of $9 million. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than $34 million? Round your answer to four decimal places

Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a score of 65 or less?

4. The average salary for first-year teachers is $27,989. Assume the distribution is approximately normal with standard deviation $3250. a. What is the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 each year? b. What is the probability that a randomly selected first-year teacher has a salary less than $20,000?

4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I

7) $40,000, with a standard deviation of $2000. Assuming that the distribution of income is (approximately) normal, what is the probability that a worker picked at random will have the annual income between $39,000 and $42,000 ? The mean annual income of a worker in a certain professional category is