1)* Suppose that the reaction times of teenage drivers are normally distributed with a mean of 0.53 seconds and a standard deviation of 0.11 seconds.
A) What is the probability that a teenage driver chosen at random will have a reaction time less than 0.65 seconds?
B) Find the probability that a teenage driver chosen at random will have a reaction time between 0.4 and 0.6 seconds.
C) 99% of reaction times of teenage drivers are less than what value? D) 25% of teenagers have a time reaction greater than what value?
2) Suppose the chest sizes of 19th century Scottish Militiamen are normally distributed with a mean of 39.83 inches and a standard deviation of 2.05 inches.
A) What percentage of the militiamen had a chest size less than 36 inches? In this context, the percentage is the corresponding probability expressed as a percent.
B) What percentage of the militiamen had a chest size between 40 and 44 inches? C) What percentage of militiamen had a chest size of 38 inches or greater?
D) 66% of the militiamen had a chest size greater than what size?
Chapter 7
22) * Suppose that the weight of navel oranges is normally distributed with mean μ = 8
ounces, and standard deviation δ = 1.5 ounces. A random sample of 15 oranges is taken. What is the probability that:
A) the average weight of oranges in the selected sample is more than 8.5 ounces? B) the average weight of oranges in the sample is less than 7.7 ounces?
C) the average weight of an orange in the selected sample is between 7.5 and 8.5 ounces? D) 85% of oranges are less than what weight?
E) What will be the average weight of the top 5% heaviest oranges?