Question

1.

Sponsors of a local charity decided to attract wealthy patrons to its $500-a-plate dinner by allowing each patron to buy a set of 20 tickets for the gaming tables. The chance of winning a prize for each of the 20 plays is 50–50. If you bought 20 tickets, what is the chance of winning 15 or more prizes?

Multiple Choice

• 0.006

• 0.250

• 0.750

• 0.021

3. An insurance agent has appointments with four prospective clients tomorrow. From past experience the agent knows that the probability of making a sale on any appointment is one out of five. Using the rules of probability, what is the likelihood that the agent will sell a policy to three of the four prospective clients?

Multiple Choice

• 0.410

• 0.026

• 0.500

• 0.250

6. For the following distribution:

x	P(x)
0	0.900
1	0.09
2	0.007
3	0.003

What is the mean of the distribution?

Multiple Choice

• 1.5

• 0.113

• 2.1

• 1.13

9. For a binomial distribution, the mean is 0.6 and n = 2. What is π for this distribution?

Multiple Choice

• 1.00

• 0.1

• 0.5

• 0.3

13. What kind of distributions are the binomial and Poisson probability distributions?

Multiple Choice

• Both discrete and continuous

• Continuous

• Neither discrete or continuous

• Discrete

16. David's gasoline station offers 4 cents off per gallon if the customer pays in cash and does not use a credit card. Past evidence indicates that 40% of all customers pay in cash. During a one-hour period, 15 customers buy gasoline at this station. What is the probability that all 15 pay in cash?

Multiple Choice

• 0.0

• 0.9

• 0.1

• 1.0

17. For the following distribution:

x	P(x)
0	0.900
1	0.09
2	0.007
3	0.003

What is the variance of the distribution?

Multiple Choice

• 1.000

• 2.1

• 0.132

• 0.364

18. Which is true for a binomial distribution?

Multiple Choice

• The value of π is equal to 1.50.

• The probability of success remains the same from trial to trial.

• It approximates the Poisson distribution.

• There are 10 or more possible outcomes.

19. The mean or expected value for a binomial probability distribution is _________.

Multiple Choice

• μ = π(1 −π)

• μ = nπ

• μ = nπ(1 −π)

• μ = πn(1 −n)

22. To apply a Poisson probability distribution, the mean can be computed as __________.

Multiple Choice

• ∑ xn∑ xn

• nπ

• e −x

• μx e−μX !

25. Sweetwater & Associates write weekend trip insurance at a very nominal charge. Records show that the probability that a motorist will have an accident during the weekend and file a claim is 0.0005. Suppose they wrote 400 policies for the coming weekend, what is the probability that exactly two claims will be filed?

rev: 10_13_2017_QC_CS-105294, 10_23_2017_QC_CS-106063

Multiple Choice

• 0.8187

• 0.0164

• 0.0001

• 0.2500

Answer 1

Answer 2

Number one is 0.021.