The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 40 minutes and 3 hours.

32. What is the probability density function for this uniform distribution?

33. What is the probability that a patient would have to wait between one and two hours?

34. What is the probability that a patient would have to wait exactly one hour?

35. What is the probability that a patient would have to wait no more than one hour?

36. For a certain gas station the daily demand for gasoline is normally distributed with a mean of 500 gallons and a standard deviation of 75 gallons. Find the probability that the station will sell less than 665 gallons of gas on a given day.

37. Find the probability that the station will sell between 482 and 527 gallons of gas.