3;What % of cases fall between a score of 120 and a score of 88 in a normal distribution with Mean = 100 and S = 16?

4.Using the data in problem # 3, what percent of area falls between a score of 123 and 135?

6.X is a normally normally distributed variable with mean = 30 and standard deviation = 4. Find

a) P(x < 40)

b) P(x > 21)

c) P(30 < x < 35)

8.For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. John owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours.

10.Castillo"s Trucking Company determined that on an annual basis the distance traveled per truck is normally distributed with a mean of 50.0 thousand kilometers and a standard deviation of 12.0 thousand kilometers.

a)What proportion of trucks can be expected to travel between 34.0 and 50.0 thousand kilometers in the year?

b)What is the chance that a randomly selected truck travels between 34.0 and 38.0 thousand kilometers in the year?

c)How many kilometers will be traveled by at least 80% of the trucks?