Normal distribution - practice problems - page 2 of 3

It is used for random variables that are the sum of a large number of independent or only weakly dependent values. The probability distribution has a bell-shaped Gaussian curve. It is symmetric around the mean value μ, both median and mode. Three sigma rule (sigma σ = standard deviation): 68.26% of the probability belongs to the mean value μ to the distance σ, 95.45% belongs to 2σ, 99.73% to 3σ.

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 53


Do you have homework that you need help solving? Ask a question, and we will try to solve it.



We will send a solution to your e-mail address. Solved problems are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active math competitions such as Mathematical Olympiad, correspondence seminars etc...