A report stated that the average number of times a cat returns to its food bowl during the day is 36. Assuming the variable is normally distributed with a standard deviation of 5, what is the probability that a cat would return to its dish between 32 and 38 times a day?

The average weekly unemployment benefit in Idaho is $272. Suppose that the benefits are normally distributed with a standard deviation of $43. Find the probability that the average weekly u employment benefit of a random sample of 15 benefits chosen in Idaho is less than U.S. average, which is $299.

The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.12.  There is 35 student in the class. Each student does his/her homework independently. What is the standard deviation of X, where X is the number of students who submit the homework on time?

Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 424.7 and 21.47, respectively. What is the probability that on a given day the supermarket will sell above 440 gallons of milk?