1) Letxrepresent the number of extracurricular activities per student. Construct a probability distribution forx.

all answers as decimals rounded to three decimal places (rounded to the thousandths place).

x(# activities) f(# students)P(x)

0 37

1 81

2 101

3 93

4 25

5 10

2) Find the mean of the following probability distribution.

x P(x)

0 0.378

1 0.511

2 0.075

3 0.032

4 0.004

Find answer as a decimal rounded to three decimal places, if necessary.

3) Sixty-two percent of married couples paid for their honeymoon themselves. You randomly select 18 married couples and ask them if they paid for their honeymoon themselves. Find the probability that exactly twelve of the couples paid for their honeymoons themselves.

Please enter your answer as a decimal rounded to three decimal places (to the thousandths place).