Question

# Use the following data for problems 23 to 24.

At Thrifty's Super Deal used car dealership they have

collected the following data showing the probability of selling 0 to 5 used cars each day.

Number of cars sold Probability

0 .05

1 .05

2 .1

3 .2

4 .4

5 .2

23) What is the expected number of cars sold each day? Select the answer closest to your computation.

A. 2.50

B. 3.45

C. 0.17

D. 4.00

24) What is the probability that Thrifty's will sell at least 3 cars on a randomly selected day? Select the answer closest to your computation.

A. 0.80

B. 0.60

C. 0.40

D. 0.20

Use the following information to answer questions 25 - 27.

The HR department at a company has established that the probability an intern is offered a permanent position is 0.65. Eight interns start in the fall semester. Assume binomial distribution.

25) How many of those interns do you expect to be offered a full time position?

A. 6

B. 8

C. 5.2

D. 2.8

26) What is the probability that no more than 5 interns are offered full time positions? Select the answer closest to your computation.

A. 0.2786

B. 0.5722

C. 0.7064

D. 0.4278

27) What is the probability that 4 interns are offered a full time position? Select the answer closest to your computation.

A. 0.1875

B. 0.2936

C. 0.5000

D. 0.6500

28) What is the probability that 2 interns are NOT offered a full time position? Select the answer closest to your computation.

A. 0.0217

B. 0.0253

C. 0.2587

D. 0.9873

29) Customers join the waiting line of a post office at average rate of 3 customers per minute. What is the probability of exactly 6 customers arriving into the post office within the next two minutes (assume Poisson distribution)? Select the answer closest to your computation.

A. 0.2240

B. 0.1606

C. 0.0984

D. 0.0194

30) Average number of students asking for help at the library circulation desk is five per minute. What is the probability of at least 4 students asking questions within the next minute (assume Poisson Distribution)? Select the answer closest to your computation.

A. 0.7350

B. 0.5595

C. 0.2340

D. 0.1754

31) This is Jim's senior year at college and he is sending applications to potential employers. There is a 3% chance for each application to get a job offer. Jim has already sent 85 applications. What is the probability of receiving at least 4 job offers (assume binomial distribution)? Select the answer closest to your computation.

A. 0.54

B. 0.25

C. 0.12

D. 0.02

Use the following data for problems 32 to 35.

Given that the average finishing time at the 2017 Australian inline marathon was approximately 2 hours and 24 minutes. The standard deviation was approximately 32.5 minutes. Assume the finishing times are normally distributed.

32) If a skater wants to finish in the top 10% of the fastest times, what time does the skater need? Fastest 10% are those with LOW times.

A. 102.4 minutes

B. 190.3 minutes

C. 176.5 minutes

D. 210.4 minutes

33) What is the probability of finishing in less than 1 hour and 50 minutes?

A. 0.18

B. 0.15

C. 0.85

D. 0.72

34) What is the probability of finishing in exactly 144 minutes?

A. 0.50

B. 0.67

C. 0.15

D. 0.00

35) What is the probability of finishing in more than 2 hours and 15 minutes?

A. 0.84

B. 0.61

C. 0.58

D. 0.39

Use the following data for problems 36 and 37

While play is going on in a soccer game customers arrive at the hotdog stand on average every 3 minutes. Assume the arrival time follows the exponential distribution.

36) What is the probability that the next customer will arrive within the 2 minutes?

A. 0.49

B. 0.25

C. 0.52

D. 0.85

37) What is the probability that the next customer will arrive in between 1 and 3 minutes?

A. 0.28

B. 0.65

C. 0.62

D. 0.35

Use the following data for problems 38, 39 and 40

Finish times at the Danish inline marathon follow a uniform distribution between 1 hour 18 minutes and 3 hours 12 minutes.

38) What is the mean completion time?

A. 2 hours

B. 2 hours 42 minutes

C. 2 hours 15 minutes

D. 1 hours 48 minutes

39) What is the probability of finishing the race in less than 2 hours 5 minutes?

A. 1.00

B. 0.61

C. 0.59

D. 0.41

40) What is the probability of finishing the race between 1 hour 52 minutes and 2 hours 22 minutes?

A. 0.26

B. 0.00

C. 0.74

D. 0.39

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