# Question: A gasoline tank for a certain car is designed to

A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable x 5 actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with mean 15.0 gallons and standard deviation 0.1 gallon.

a. What is the probability that a randomly selected tank will hold at most 14.8 gallons?

b. What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons?

c. If two such tanks are independently selected, what is the probability that both tanks hold at most 15 gallons?

a. What is the probability that a randomly selected tank will hold at most 14.8 gallons?

b. What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons?

c. If two such tanks are independently selected, what is the probability that both tanks hold at most 15 gallons?

## Answer to relevant Questions

The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 120 seconds and a standard deviation of 20 seconds. ...Macular degeneration is the most common cause of blindness is people older than 60 years. One variable thought to be related to a type of inflammation associated with this disease is level of a substance called soluble Fas ...A machine producing vitamin E capsules operates in such a way that the distribution of x = actual amount of vitamin E in a capsule can be modeled by a normal curve with a mean of = mg and standard deviation 0.05 mg. What is ...A pizza shop sells pizzas in four different sizes. The 1000 most recent orders for a single pizza gave the following proportions for the various sizes: With x denoting the size of a pizza in a single-pizza order, the given ...In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there is a weight limit of 2500 pounds. Assume that the average weight of students, faculty, and staff ...Post your question