Choose the one alternative that best completes the statement or answers the question.
1) “No shows” are the people with reservations who fail to arrive. The following table shows the number of
no shows each day at a hotel over the last 125 business days.
Number of No Shows
Frequency
0
61
1
35
2
10
3
12
4
7
What is the probability that there will be more than one no show today?
1)
A) 0.147
B) 0.232
C) 0.205
D) 0.113
2) According to a survey, 21% of nursing homes in the U.S. received five stars in overall ratings on a
scale of 1 to 5. A random sample of seven nursing homes was selected. What is the probability that
more than one of them received five stars?
2)
A) 0.1165
B) 0.4506
C) 0.1717
D) 0.0681
3) According to the IRS, 1.1% of corporate income tax returns will be audited next year. A random
sample of 40 tax returns was selected. Use the Poisson distribution to approximate the binomial
distribution to determine the probability that more than two of these tax returns will be audited.
3)
A) 0.3366
B) 0.0726
C) 0.1215
D) 0.2067
4) Which of the following is not a characteristic of a binomial experiment?
4)
A) The probability of a success must exceed the probability of a failure.
B) Each trial has only two possible outcomes–a success or a failure.
C) Each trial is independent of the other trials in the experiment.
D) The experiment consists of a fixed number of trials.
5) According to a recent survey, 77% of husband-wife families with kids under 18 years old have life
insurance. A random sample of six husband-wife families was selected. What is the probability
that less than two families have life insurance?
5)
A) 0.0029
B) 0.1197
C) 0.1864
D) 0.0569
Solve the problem.
6) The number of road construction projects that take place at any one time in a certain city follows a
Poisson distribution with a mean of 6. Find the probability that exactly four road construction
projects are currently taking place in this city.
6)
A) 0.032968
B) 0.104196
C) 0.133853
D) 0.423040
7) Suppose a Poisson probability distribution with
= 0.8 provides a good approximation of the
distribution of a random variable x.. Find µ for x.
7)
A)
0.8
B) 0.8
C) 0.4
D) 0.64
Solve the problem. Round to four decimal places.
8) If x is a binomial random variable, compute p(x) for n = 5, x = 1, p = 0.4.
8)
A) 0.2592
B) 0.2929
C) 0.2411
D) 0.2722
Solve the problem.
9) The number of road construction projects that take place at any one time in a certain city follows a
Poisson distribution with a mean of 7. Find the probability that more than four road construction
projects are currently taking place in the city.
9)
A) 0.172992
B) 0.827008
C) 0.081765
D) 0.918235
10) The number of traffic accidents that occur on a particular stretch of road during a month follows a
Poisson distribution with a mean of 7.7. Find the probability that fewer than three accidents will
occur next month on this stretch of road.
10)
A) 0.982636
B) 0.017364
C) 0.948181
D) 0.051819