Exam 5: Discrete Probability Distributions

Referring to Scenario 5-9, what is the probability that in the next 1,000 custoers, the chain will have at least one mishandled bag? -Referring to Scenario 5-9, what is the probability that in the next 1,000 customers, the hotel chain will have less than two and more than eight mishandled bags?

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. X 0 1 2 3 P(X) 0.35 0.35 0.25 0.05 -In a game called Taxation and Evasion, a player rolls a pair of dice.If, on any turn, the sum is 7,11, or 12, the player gets audited.Otherwise, she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The probability that she does not get audited is .

Whenever $\pi = 0.1$ and n is small, the binomial distribution will be

The portfolio expected return of two investments

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?

The number of power outages at a nuclear power plant has a Poisson distribution with a mean of6 outages per year.The variance of the number of power outages is .

The diameters of 10 randomly selected bolts have a binomial distribution.

The local police department must write, on average, 5 tickets a day to keep department revenues at budgeted levels.Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day.Interpret the value of the mean.

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 of the computers will require repair on a given day, one will use what type of probability distribution?

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 fewer than two security transactions will be conducted in one month?

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

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

Suppose that history shows that 60% of college students prefer Brand C cola.A sample of 5 students is to be selected.The mean number that you would expect to prefer brand C is_.

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?

In a game called Taxation and Evasion, a player rolls a pair of dice.If on any turn the sum is 7,11, or 12, the player gets audited.Otherwise, she avoids taxes.Suppose a player takes 5 turns at rolling the dice.The standard deviation of the number of times she will be audited 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 no more than 1 power outage in a year 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. X 0 1 2 3 P(X) 0.35 0.35 0.25 0.05 -Referring to Scenario 5-3, the probability of at least one retransmission is .