1a)Suppose that 11% of a certain batch of calculators have a defective case, and that 12% have defective batteries. Also, 5% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.

The probability that the calculator has a good case and good batteries is?

1b)The following table gives a future year's projected civilian labor force probability distribution by age and gender.

Age	Male	Female	Total
16-24	0.068	0.062	0.130
25-54	0.345	0.293	0.638
55 and over	0.122	0.110	0.232
Total	0.535	0.465	1.00

Find the probability that a randomly selected worker is the following.

a. Female and 16 to 24 years old	c. Male or 25 to 54 years old
b. 16 to 54 years old	d. Female or 16 to 24 years old

1c) The probability that a visit to a primary care physician's (PCP) office results in neither lab work nor referral to a specialist is 28%. Of those coming to a PCP's office, 25% are referred to specialists and 51%

require lab work. Determine the probability that a visit to a PCP's office results in both lab work and referral to a specialist. What is the probability that a visit results in both lab work and referral to a specialist?

2a)The following data were gathered for 120 workers. Of those workers, 49 were women,

2 women earned more than $40,000, and 56 men earned $40,000 or less. Complete parts a through d below.

a. Find the probability that an individual is a woman earning $40,000 or less.

b. Find the probability that an individual is a man earning more than $40,000.

c. Find the probability that an individual is a man or is earning more than $40,000.

d. Find the probability that an individual is a woman or is earning $40,000 or less.

3a)The management of a firm wishes to check on the opinions of its assembly line workers. Before the workers are interviewed, they are divided into various categories. Define events E, F, and G as shown below. Complete parts a through f.

E: worker is male

F: worker has worked more than 6 years

G: worker does not contribute to a voluntary retirement plan

Describe the event E F in words?

Describe the event E G in words.

Describe the event F in words.

Describe the event F G in words.

Describe the event F G in words.

3b)For a medical experiment, people are classified as to whether they smoke,

have a family history of diabetes or are shorter than average

Define events E, F, and G, as shown below. Complete parts a through c.

E: person smokes

F: person has a family history of diabetes

G: person is shorter than average

Describe the event G in words

Describe the event F G in words

Describe the event E G in words.

3c)Several friends chartered a boat for a day's fishing. They caught a total of 52

fish. The table below provides information about the type and number of fish caught. Determine the empirical probability that the next fish caught is a grouper

Fish	Number caught
Grouper	11
Shark	13
Flounder	4
Kingfish	24