The results on a standardized exam are approximately normally distributed. If the average on the test is 70 with a standard deviation of 10.5, what is the probability that a randomly selected exam has a score higher than 75?

The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?

Suppose that the average number of hurricanes is 32 per year with a standard deviation of 2.8 and follow a normal distribution. What is the probability that we will have more than 31 hurricanes this year in a decimal form?

Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random person has an IQ between 110 and 125?

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 90 mm?

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is greater than 82 mm?

A soft drink machine outputs a mean of 2525 ounces per cup. The machine's output is normally distributed with a standard deviation of 44 ounces. What is the probability of overfilling a 3030 ounce cup? Round your answer to four decimal places.

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?

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 84 mm?

The mean annual salary for nurses is $65,000 with a standard deviation of $7,000.                What is he probability that a randomly selected nurse has a salary less than $60,000?               A random sample of 50 nurses is selected.  What is the probability that the sample mean annual salary is less than $60,000?