Week 5: Quiz 5
Probability & Distributions Questions
Question 1
A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.025. To find the probability that exactly 20 computers will require repair on a given day, which type of probability distribution should be used?
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a. Poisson Distribution
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b. Binomial Distribution
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c. None of the above
Question 2
On average, 1.8 customers per minute arrive at a checkout counter in a grocery store. What type of probability distribution can be used to find the probability that no customer arrives at a checkout counter?
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a. No distribution fits this category
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b. Binomial Distribution
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c. Poisson Distribution
Question 3
The following table shows the probability distribution for the number of traffic accidents reported in a day:
| X | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| P(X) | 0.10 | 0.20 | 0.45 | 0.15 | 0.05 | 0.05 |
What is the probability of 3 accidents?
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a. 0.10
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b. 0.45
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c. 0.15
Question 4
The following table shows the probability distribution for the number of retransmissions needed:
| X | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P(X) | 0.35 | 0.35 | 0.25 | 0.05 |
What is the mean (expected value) of the number of retransmissions?
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a. 0.75
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b. 1.00
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c. 0.25
Question 5
The probability that a smoke alarm works properly is 0.8. Two alarms operate independently. What is the probability that both will sound an alarm?
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a. 0.96
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b. 0.64
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c. 0.04
Question 6
Out of 80 teachers, 36 are CPR certified. Over 180 school days, about how many days can we expect that the teacher on bus duty is CPR certified?
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a. 45
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b. 61
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c. 81
Question 7
A clinic orders 100 latex gloves per week for 52 weeks. Prices follow this distribution:
| Price | $10.00 | $12.50 | $15.00 |
|---|---|---|---|
| Probability | 0.35 | 0.40 | 0.25 |
How much should the clinic budget for next year?
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a. $520
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b. $637
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c. $650
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d. $780
Question 8
A survey shows that 60% of college students prefer energy drinks. If 5 students are selected randomly, what is the probability that exactly 3 prefer energy drinks?
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a. 0.2976
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b. 0.3456
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c. 0.3729
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d. 0.4235
Question 9
The number of power outages follows a Poisson distribution with a mean of 6 per year. What is the probability of exactly 3 outages in a year?
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a. 0.0685
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b. 0.0736
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c. 0.0892
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d. 0.0911
Question 10
If n=10n = 10 and p=0.70p = 0.70, what is the mean of the binomial distribution?
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a. 0.07
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b. 5.0
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c. 7.0
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d. 14.0
Tutorial for Quiz 5
