5.) Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service.

Monthly charges Monthly

cost ($)

Bank charges 482

Cleaning 2208

Food 1750

Computer expenses 2471

Lease payments 2656

Grounds fees 1475

Postage 2117

Uniforms 2600

Delivery fuel 955

6.) You pick 3 cards from a deck without replacing a card before picking the next card. What is the probability that all 3 cards are hearts?

7.) The 2010 U.S. Census found the chance of a household having a certain number of pets. The data is in the table below.

# of pets 0 1 2 3 4 5 or more Probability 15.5% 22.8% 26.4% 18.5% 10% 6.8%

Is it unusual for a household to have 4 pets? Show all work.

8.) Suppose a random variable, x, arises from a binomial experiment. Suppose n = 8 and p = 0.62.

a.) Write the probability distribution.

b.) Draw a histogram.

c.) Describe the shape of the histogram.

d.) Find the mean.

e.) Find the variance.

f.) Find the standard deviation.

9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed.

a.) State the random variable.

b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500.

e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?

10.) The following table contains cholesterol levels of 32 people. Determine if the sample comes from a population that is normally distributed. Draw a histogram, identify potential outliers, and draw the normality plot.

160 200 172 196 170 181 190 185 210 180 162 184 185 212 186 182 260 175 203 181 190 203 184 193 199 160 210 204 198 188 201 190