Question: 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

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 than20but 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 of28hours per week and standard deviation4.2hours. Assume that the distribution of hours watched follows the normal distribution. We want to know the probability that a random man watches less than24hours of TV per week.

a) What is the z-score?

Use 2 decimal places.

b) What is the probability a random man watches less than24hours 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 than15hours 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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