Question 1

According to a survey,73%of all workers reade-mail while they are talking on the phone. Suppose that 22%of those who reade-mail while they are talking on the phone write personal "to-do" lists duringmeetings. Assuming that these figures are true for all workers, if a worker israndomly selected, determine the following probabilities

(a)The worker reads e-mail while talking on the phone and writes personal "to-do"lists during meetings?

(b)The worker does not write personal "to-do" lists given that he reads e-mail whiletalking on the phone?

(c)The worker does not write personal "to-do" lists and does read e-mail whiletalking on the phone?

question 2

The following data are the result of a historical study of the number of flaws found in aporcelain cup produced by a manufacturing firm. Use these data and the associated probabilities to compute the expected number of flaws (mean), the variance and the standard deviation offlaws.

x p(x)

0 0.05

1 0.17

2 0.19

3 0.15

4 0.44

(a) The expected number of flaws (mean) =

(b)The variance of flaws =

(c)The standard deviation of flaws =

Question 3

Arecent survey by Purchasing indicates that50.0% of the companies that outsourceoverseas use a consultant. Suppose17companies that outsource overseas arerandomly selected.

What is the probability that less or equal to 7companies that outsource overseasuse a consultant

P(x7)=

Question 4

he retail price of a medium-sized box of a well-known brand of cornflakes rangesfrom 19to72

Assume these prices are uniformly distributed. What are the average price and standard deviation of prices in this distribution? If a price israndomly selected from this list, what is the probability that it will be between23and69

P(23x69)=