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# Use the following problems to answer questions 1 - 4. Of 2,000 students surveyed, 80% indicated that they commute to school each day.

Use the following problems to answer questions 1 - 4.

Of 2,000 students surveyed, 80% indicated that they commute to school each day. Of

those that commute to school each day, 83% spend more than $25 a week on gasoline.

Of those that do not commute to school each day, 95% indicated that they do not spend

more than $25 a week on gasoline. A student surveyed is chosen at random.

1. What is the probability that this student does not commute to school each day?

a. 0.2000

b. 0.0980

c. 0.9700

d. 0.1000

e. 0.5642

2. What is the probability that this student does not commute to school each day and

does not spend more than $25 a week on gas?

a. 0.0980

b. 0.1403

c. 0.0020

d. 0.0582

e. 0.1900

3. What is the probability that this student does spend more than $25 a week on gas?

a. 0.7490

b. 0.8366

c. 0.6740

d. 0.0018

e. 0.2237

4. What is the probability that this student does spend more than $25 a week on gas,

given that he/she does commute to school each day?

a. 0.9700

b. 0.8300

c. 0.7470

d. 0.1034

e. 0.1896

Use the following problems to answer question 5.

There are 300 seniors in Jefferson High School, of which 140 are males. It is known that

80% of the males and 60% of the females have their driver's license. If a student is

selected at random from this senior class, what is the probability that the student is:

5. A male and has a driver's license?

a. 0.0933

b. 0.3733

c. 0.4667

d. 0.1000

e. 0.8412