1-The Webassign random number generator program picks a number between 0 and 100 using a uniform distribution (with 12 decimals).
What is the probability a random number will be greater than20?
Use two decimals.
What is the probability a random number will be greater than20 but still less than72?
Use two decimals.
2.The study at www.state.sd.us/DOH/Nutrition/TV.pdf showed men watched TV with a mean of28 hours per week and standard deviation4.2 hours. Assume that the distribution of hours watched follows the normal distribution. We want to know the probability that a random man watches less than24 hours of TV per week.
a) What is the z-score?
Use 2 decimal places.
b) What is the probability a random man watches less than24 hours of TV per week?
Use 4 decimal places
c) Now suppose you are a woman who wishes to determine your chances of finding a man who is rarely watches any TV. Determine the probability that you will randomly select a man who watches less than15 hours of TV per week.
Use 4 decimal places.
3.According to www.state.sd.us/DOH/Nutrition/TV.pdf the distributions for men and women watching TV is as follows:
Men ~N(29, 5.12)
Women ~N(34, 4.52)
a) Severely afflicted couch potatoes are in the top 5% of people with regards to TV watching. Find the number of hours of TV watching for men that divides the top 5% from the bottom 95%.
Use 2 decimals.
hours
b) Find the number of hours of TV watching for women that divides the top 5% from the bottom 95%.
Use 2 decimal places
hours
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