Normal Probability

The body temperatures of adults are normally distributed with a mean of 98.60 Fahrenheit and a standard deviation of 0.73. What is the likelihood that someone would have a temperature between 99 and 100 degrees?

• 47.2%

• 26.4%

• 20.8%

• 34.3%

A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with a mean of 16.0 gallons and standard deviation of 0.1 gallons. What is the probability a tank will be built less than 15.85 gallons?

• 93.3%

• 50%

• 6.7%

• 66.8%

A machine that builds gas tanks operates in such a way that the capacity of each tank is a normal random variable with a mean of 16.0 gallons and standard deviation of 0.1 gallons. What is the probability a tank will be built between 15.85 and 16.15 gallons?

• 86.7%

• -86.7%

• 43.3%

• -43.3%

The average size of a marble manufactured at the factory is 0.865in. with a standard deviation of 0.015in. The last several batches of marbles average between 0.840 and 0.889in. What is the probability of the factory producing marbles in that range?

• 89.7%

• 90.4%

• 88.5%

• 89.2%

The normal distribution curves represents U.S. female heights. What percentage of females are between 5'6.5" and 5'11"?

• 68%

• 95%

• 16%

• 81%

The heights of male students are Normally distributed with mean 1.7 m and standard deviation 0.2 m

In a population of 400 male students, how many would you expect to have a height between 1.4 m and 1.6 m?

• 24

• 54

• 97

• 100

According to the normal distribution, what percent of the population has an IQ between 70 -115

• 68%

• 81.5%

• 95%

• 47%

What is the standard deviation of this distribution? (how far is it from the mean to the first stdev line?)

• 60

• 1010

• 20

• 40

The data is _____ standard deviation(s) from the mean.

• 2

• 1

• 3

Find the area of the shaded region. 

• 0.16

• 0.84

• 0.68

• 0.34