Solve the following problem:
1. What is the probability that the student will successfully earn exactly the required minimum score of 70% on the exam based solely upon randomly guessing the correct answer for each question?
o 2.57
o 2.57E-02
o 2.57E-05
o 2.57E-04
2. What is the probability that the student will earn less than the required minimum score of 70% on the exam based solely upon randomly guessing the correct answer for each question?
o 0.74673
o 0.85198
o 0.99997
o 0.23499
3. What is the probability that the student will successfully earn no less than the required minimum score of 70% on the exam based solely upon randomly guessing the correct answer for each question?
o 3.51E-04
o 2.95E-05
o 6.87E-06
o 1.27E-03
The mean time required to complete a certain type of construction project is 52 weeks with a standard deviation of 3 weeks. Answer questions 4-7 using the preceding information and modeling this situation as a normal distribution.
4. What is the probability of the completing the project in no more than 52 weeks?
o 0.25
o 0.50
o 0.75
o 0.05
5. What is the probability of the completing the project in more than 55 weeks?
o 0.2743
o 0.5091
o 0.7511
o 0.0546
6. What is the probability of completing the project between 56 weeks and 64 weeks?
o 0.2587
o 0.3334
o 0.5876
o 0.0911
7. What is the probability of completing the project within plus or minus one standard deviation of the mean?
o 0.951
o 0.852
o 0.759
o 0.683
Customers arrive at a supermarket check-out counter with an average arrival rate of 9 customers per hour. Answer questions 8-10 using the preceding information and modeling this situation as a Poisson distribution.
8. What is the probability of less than 5 customers arriving at the supermarket check-out counter in a given one hour period?
o 0.054
o 0.446
o 0.359
o 0.612
9. What is the probability of exactly 12 customers arriving at the supermarket check-out counter in a given one hour period?
o 0.262
o 0.044
o 0.073
o 0.189
10. What is the probability of no less than 12 customers arriving at the supermarket check-out counter in a given one hour period?
o 0.115
o 0.197
o 0.381
o 0.686
A local commuter bus service advertises that buses run every twelve minutes along a certain route. Answer questions 11and 12 using the preceding information and modeling this situation as an exponential distribution.
11. What is the probability of a bus picking up the passengers at a given bus stop in less than or equal to 12 minutes following their arrival at the bus stop?
o 0.519
o 0.632
o 0.466
o 0.772
12. What is the probability of a bus picking up the passengers at a given bus stop in more than 15 minutes following their arrival at the bus stop?
o 0.287
o 0.343
o 0.541
o 0.119