The following joint frequency distribution table shows responses from a sample of 239 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval.

Age Group Approve Disapprove Indifferent Total

under 25 13 36 28 77

25 to 40 32 30 6 68

over 40 40 31 23 94

Total 85 97 57 239

Report answers accurate to at least 4 decimal places.

1)What is the probability that a randomly selected employee:

a) wasnotindifferent?

b) was in theunder 25age groupanddisapproved?

c) wasnotin theunder 25age groupanddisapproved?

d) was in theover 40age groupordisapproved?

e) wasnotin theover 40age groupordisapproved?

f) wasnotover 40andwasnotindifferent?

2)Given that an employee was in the25 to 40age group, what is the probability that the employee

a) wasindifferent?

b) didnotdisapprove?

3)What is the probability of selecting an employee that was in theover 40age group from a group of employees that

a)disapproved?

b) didnotapprove?

2)

Suppose62%of voters in a rural area vote on advanced voting days.

A random sample of29voters is selected.

Assuming independence, use the binomial formula or software (recommended) to answer the following questions.

1.What is the probability that, of the29voters selected:

(Report probabilities accurate toat least 4decimal places.)

a)exactly 17vote on advanced voting days?Correct

b)exactly 13do notvote on advanced voting days?Incorrect

c)allof them vote on advanced voting days?Incorrect

d)at least 16vote on advanced voting days?

e)at least 16butno more than 23vote on advanced voting days?

f)less than 12ormore than 19vote on advanced voting days?

2.If you expect to find exactly67voters that vote on advanced voting days, how large a sample should you select?

Report the minimum sample size required to the nearest integer.