Question 1

SCENARIO 5-12
Phone calls arrive at the rate of 50 per hour at the reservation desk for Queen City Airways.The desk manager has asked you for an analysis of the call rates and probabilities to better understand the operation and determine if more call desk workers are needed.
-.Using Scenario 5-12, What is the probability of receiving exactly three calls in a 6 minute period?

Accepted Answer

The answer of SCENARIO 5-12
Phone calls arrive at the rate...

Question 2

n the average, 1.8 customers per minute arrive at any one of the checkout counters of a grocery store.What type of probability distribution can be used to find out the probability that there will be no customer arriving at a checkout counter?

Accepted Answer

A) binomial distribution. 
B) Poisson distribution. 
C) Either of the above 
D) none of the above.

Question 3

Which of the following about the binomial distribution is not a true statement?

Accepted Answer

A) The probability of the event of interest must be constant from trial to trial. 
B) Each outcome is independent of the other. 
C) Each outcome may be classified as either "event of interest" or "not event of interest." 
D) The variable of interest is continuous.

Question 4

SCENARIO 5-1
The probability that a smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have 2 such alarms in your home and they operate independently.
-Referring to Scenario 5-1, the probability that both sound an alarm in the presence of smoke is_.

Accepted Answer

The answer of SCENARIO 5-1
The probability that a smoke alarm...

Question 5

A professor receives, on average, 24.7 e-mails from students the day before the midterm exam.To compute the probability of receiving at least 10 e-mails on such a day, he will use what type of probability distribution?

Accepted Answer

A) binomial distribution. 
B) Poisson distribution. 
C) Either of the above 
D) none of the above.

Question 6

The number of 911 calls in a small city has a Poisson distribution with a mean of 10.0 calls a day.The standard deviation of the number of 911 calls in a day is .

Accepted Answer

The answer of The number of 911 calls in a...

Question 7

SCENARIO 5-11
Subscribers to Investment Advice White Letters perform security transactions at the rate of five trades per month.Assume that one of the subscribers performs transactions at this rate and the probability of a transaction for any two months is the same and the number of transactions in one month is independent of the number of transactions in another month.
-Referring to Scenario 5-11, what is mean number of transactions per month for this subscriber?

Accepted Answer

The answer of SCENARIO 5-11
Subscribers to Investment Advice White Letters...

Question 8

SCENARIO 5-11
Subscribers to Investment Advice White Letters perform security transactions at the rate of five trades per month.Assume that one of the subscribers performs transactions at this rate and the probability of a transaction for any two months is the same and the number of transactions in one month is independent of the number of transactions in another month.
-Referring to Scenario 5-11, what is probability that at least five security transactions will be conducted in one month?

Accepted Answer

The answer of SCENARIO 5-11
Subscribers to Investment Advice White Letters...

Question 9

A probability distribution is an equation that

Accepted Answer

A) associates a probability of occurrence with each outcome. 
B) measures outcomes and assigns values of X to the simple events. 
C) assigns a value to the variability of the set of events. 
D) assigns a value to the center of the set of events.

Question 10

If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = .

Accepted Answer

The answer of If X has a binomial distribution with...

Question 11

SCENARIO 5-3
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a network. $$\begin{array} { c | | c | c | c | c | } 
X & 0 & 1 & 2 & 3 \
\hline \hline P ( X ) & 0.35 & 0.35 & 0.25 & 0.05
\end{array}$$
-Referring to Scenario 5-3, the probability of at least one retransmission is .

Accepted Answer

The answer of SCENARIO 5-3
The following table contains the probability...

Question 12

Current estimates suggest that 75% of the home-based computers in a foreign country have access to on-line services.Suppose 20 people with home-based computers were randomly and independently sampled.Find the probability that more than 9 of those sampled currently do not have access to on-line services.

Accepted Answer

The answer of Current estimates suggest that 75% of the...

Question 13

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of6 outages per year.The probability that there will be at least 1 power outage in a year is.

Accepted Answer

The answer of The number of power outages at a...

Question 14

SCENARIO 5-4
The following table contains the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Midwest. $$\begin{array} { c | | c | c | c | c | c | c | } 
X & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \hline P ( X ) & 0.10 & 0.20 & 0.45 & 0.15 & 0.05 & 0.05
\end{array}$$
-Referring to Scenario 5-4, the mean or expected value of the number of accidents is .

Accepted Answer

The answer of SCENARIO 5-4
The following table contains the probability...

Question 15

SCENARIO 5-12
Phone calls arrive at the rate of 50 per hour at the reservation desk for Queen City Airways.The desk manager has asked you for an analysis of the call rates and probabilities to better understand the operation and determine if more call desk workers are needed.
-Using Scenario 5-12, What is the expected number of calls when calculating the probability of receiving three calls in a 6-minute period?

Accepted Answer

The answer of SCENARIO 5-12
Phone calls arrive at the rate...

Question 16

SCENARIO 5-3
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a network. $$\begin{array} { c | | c | c | c | c | } 
X & 0 & 1 & 2 & 3 \
\hline \hline P ( X ) & 0.35 & 0.35 & 0.25 & 0.05
\end{array}$$
-Referring to Scenario 5-3, the variance for the number of retransmissions is _.

Accepted Answer

The answer of SCENARIO 5-3
The following table contains the probability...

Question 17

SCENARIO 5-3
The following table contains the probability distribution for X = the number of retransmissions necessary to successfully transmit a 1024K data package through a network. $$\begin{array} { c | | c | c | c | c | } 
X & 0 & 1 & 2 & 3 \
\hline \hline P ( X ) & 0.35 & 0.35 & 0.25 & 0.05
\end{array}$$
-Referring to Scenario 5-3, the probability of no retransmissions is .

Accepted Answer

The answer of SCENARIO 5-3
The following table contains the probability...

Exam 5: Discrete Probability Distributions

n the average, 1.8 customers per minute arrive at any one of the checkout counters of a grocery store.What type of probability distribution can be used to find out the probability that there will be no customer arriving at a checkout counter?

Which of the following about the binomial distribution is not a true statement?

SCENARIO 5-1 The probability that a smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have 2 such alarms in your home and they operate independently. -Referring to Scenario 5-1, the probability that both sound an alarm in the presence of smoke is_.

A professor receives, on average, 24.7 e-mails from students the day before the midterm exam.To compute the probability of receiving at least 10 e-mails on such a day, he will use what type of probability distribution?

The number of 911 calls in a small city has a Poisson distribution with a mean of 10.0 calls a day.The standard deviation of the number of 911 calls in a day is .

A probability distribution is an equation that

If X has a binomial distribution with n = 4 and p = 0.3, then P(X > 1) = .

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of6 outages per year.The probability that there will be at least 1 power outage in a year is.