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Exam 5: Discrete Probability Distributions

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Question 61

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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?

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Question 62

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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?

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

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Question 63

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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.

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 .

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 .

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 _.

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 .

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.

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?

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_.

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

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?

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?

A probability distribution is an equation that

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

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?

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 .