A salesman is scheduling appointments for the next few days. He/She has a probability of 0.3 of making a sale once he has the appointment set. Use…

A salesman is scheduling appointments for the next few days. He/She has a probability of 0.3 of making a sale once he has the appointment set. Use this information to answer questions 34 to 36. (assume binomial distribution applies)

1)     The salesman has 11 appointments scheduled today. What is the probability that he/she will make exactly 5 sales?

A.   0.922

B.    0.868

C.    0.132

D.   0.078

2)     Tomorrow there are 13 appointments arranged. What is the probability that the salesman will make more than 5 sales?

A.   0.492

B.    0.835

C.    0.180

D.   0.165

3)     The following day there are 9 appointments scheduled. What is the probability that the salesman will make less than 3 sales?

A.   0.463

B.    0.267

C.    0.172

D.   0.091

The text in a recently published book averaged 1 typographical error for each 10 pagess. Assume a Poisson distribution and use this information to answer questions 37 to 40.

4)     What is the probability that there will be less than 3 typographical errors in 10 pagess?

A.   0.061

B.    0.184

C.    0.920

D.   0.981

5)     What is the probability that there will be more than 3 typographical errors in 10 pagess?

A.   0.019

B.    0.184

C.    0.462

D.   0.996

6)     What is the probability that there will be no typographical errors over 5 pagess?

A.   0.393

B.    0.368

C.    0.607

D.   0

7)     What is the probability that there will be 2 typographical errors in 20 pagess?

A.   0.184

B.    0.271

C.    0.677

D.   0.920

A drive from Omaha to Kansas City takes 150 minutes normally distributed, with a standard deviation of 10 minutes. Use this information to solve questions 41 to 44.

8)     What is the probability that a trip will take less than 140 minutes?

A.   0.841

B.    0.680

C.    0.324

D.   0.159

9)     What is the probability that a trip will take more than 172 minutes?

A.   0.014

B.    0.220

C.    0.517

D.   0.986

10) What is the probability that a trip will take between 142 and 155 minutes?

A.   0.691

B.    0.347

C.    0.480

D.   0.212

11) What is the probability the trip will take exactly 150 minutes?

A.   0.500

B.    0.040

C.    0.712

D.   0

A certain make of tire has a mean life expectancy of 50,000 miles (exponentially distributed). Use this information to solve questions 45 to 47.

12) What is the probability that a random tire will last less than 30,000 miles?

A.   0.451

B.    0.632

C.    0.600

D.   0.247

13) What is the probability that a random tire will last more than 70,000 miles?

A.   0.714

B.    0.247

C.    0.124

D.   0.753

14) What is the probability that a random tire will last between 40,000 and 60,000 miles?

A.   0.699

B.    0.327

C.    0.551

D.   0.148

A distribution of data is uniformly distributed between 27 and 59. Use this information to solve questions 48 to 50.

15) What is the probability that a given data point will be between 30 and 50?

A.   0.375

B.    0.875

C.    0.625

D.   0.563

16) What is the probability that a given data point will be larger than 47?

A.   0.375

B.    0.285

C.    0.437

D.   0.625

17) What is the probability that a given data point will be between 20 and 40?

A.   0.625

B.    0.375

C.    0.406

D.   0.594

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