Question: 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

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 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?

Step by Step Solution

★★★★★

3.30 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c P x 15 05 So ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

536-S-D-R-V (573).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The number of miles traveled per gallon of gasoline for a certain car has a mean of 25 and a standard deviation of 2. The tank holds 20 gallons. a. Find the mean number of miles traveled per tank. b....

High Fuel Company markets a gasoline additive for automobiles that it claims will increase a cars miles per gallon (mpg) performance. In an effort to determine whether High Fuels claim is valid, a...

An article on the PureEnergySystems.com website written by Louis LaPoint discusses a product called acetone. The article stated that Acetone 1 CH 3 COCH 3 2 is a product that can be purchased...

A gasoline tank for a certain car is designed to hold 15 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal...

A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the variable = actual capacity of a randomly selected tank has a distribution that is well approximated by a...

A) An agricultural researcher plants 25 plots with a new variety of yellow corn. Assume that the yield per acre for the new variety of yellow corn follows a Normal distribution with an unknown mean...

Can someone please show me how these answers were formulated without excel. I need to see it step by step to learn without excel. Thank you. A) An agricultural researcher plants 25 plots with a new...

Question 5 4 p A gasoline tank for a certain car is designed to hold 15 gal of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well...

=+7.28 A gasoline tank for a certain car is designed to hold 15 gal of gas. Suppose that the variable x 5 actual capacity of a randomly selected tank has a distribution that is well approximated by a...

What would be the best course of action if an outsourced vendor does not have a solid disaster management plan but provides the best sought-after services

Calculate the concentration of the electrons and the holes (in electrons/m?). for intrinsic silicon at (350k). The energy gap equals 1.1 eV, and (N. =2 x 10 25 /m, N; = NJ2). Also, find the value of...

During 2020, Salina's grandfather died and she inherited land worth $30,000. The grandfather had purchased the land 20 years earlier for $2,000. Later in 2020, she sold her land investment and...

You have your choice of two investment accounts. Investment A is a 1 2 - year annuity that features end - of - month $ 3 , 4 0 0 payments and has an APR of 6 percent compounded monthly. Investment B...

Elmore purchased a car from Doenges Brothers Ford. The car had been placed with the dealership by a dealership employee as part of a consignment arrangement. Elmore was unable to obtain title to the...

The digits drawn in one month for the California Daily 4 lottery were recorded. The digits 0 through 9 had these frequencies: 20, 10, 12, 12, 8 11, 9, 10, 9, 19. Do the digits appear to be selected...

Refer to Data Set 22 in Appendix B for the axial loads of aluminum cans that are 0.0111 in. thick. The load of 504 lb is an outlier because it is very far away from all of the other values. Construct...

According to what is known as Sturges guideline, the ideal number of classes for a frequency distribution can be approximated by 1 + (log n)/(log 2)where n is the number of data values. Use this...

In Vogue, a T-shirt business, is growing fast and needs a better accounting information system. Consider the features of an effective system. Which features are most important? Why? Which feature...

On the balance sheet, current liabilities are generally listed before non-current liabilities. O in order of liquidity. O as the first category in the liability section. O any of the above are...

Roletter Company makes and sells artistic frames for pictures of weddings, graduations, and other special events. Ron Kyler, the controller, is responsible for preparing Roletter's master budget and...