a.) Airlines sometimes overbook flights. Suppose that for a
plane with 50 seats, 55 passengers have tickets. Define the random
variable X as the number of ticketed passengers who actually show
up for the flight. The probability function of X is in the
accompanying table.
?? 45 46 47 48 49 50 51 52 53 54 55
?(? = ??) .05 .10 .12 .14 .25 .17 .06 .05 .03 .02 .01
1.) What is the probability that the flight will accommodate all
ticketed passengers who show up? Show Work
2.) If you are the first person on the standby list (which means
you will be the first one to get on the plane if there are any
seats available after all ticketed passengers have been
accommodated), what is the probability that you will be able to
take the flight? Show Work
b.) An appliance dealer sells three different models of upright
freezers having 13.5, 15.9, and 19.1 cubic feet of storage space,
respectively. Let X = the amount of storage space purchased by the
next customer to buy a freezer. Suppose the probability
distribution of X is as follows:
?? 13.5 15.9 19.1
?(? = ??) 0.2 0.5 0.3
Find the expected value of X. Show Work.
c.) Suppose that only 30% of all drivers come to a complete stop at
an intersection having flashing red lights in all directions when
no other cars are visible. What is the probability that, of 8
randomly chosen drivers coming to an intersection under these
conditions, exactly 4 will come to a complete stop?
Answer this question without using R or a binomial calculator
function. I want you to simplify the combination manually, but a
calculator can certainly be used to multiply the combination by ??
∙(?−?)?−?. Show Work.
a.) Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have...
Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. y4546474849505152535455p(y)0.050.100.120.140.240.180.060.050.030.020.01(a) What is the probability that the filight will accommodate all ticketed passengers who show up? (b) What is the probability that not all ticketed passengers who show up can be accommodated? (c) If you are the...
Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. Calculate V(Y) and ơr (Round your variance to four decimal places and your standard deviation to two decimal places.) Determine the probability that Y is within 1 standard deviation of its mean value.
Airlines sometime overbook flights. Suppose that for a planewith 50 seats, 55 passengers have tickets. Define the randomvariable Y as the number of ticketed passengers who actually showup for the flight. The probability mass function of Y appears inthe accompanying table. Y 45 46 47 48 49 50 51 52 53 54 55 P(y) .05 .10 .12 .14 .25 .17 .06 .05 .03 .02 .01 a.) What is the probability that the flightwill accommodate all ticketed passengers who show up?...
show all work Airlines often oversell their flights. Suppose that for a plane with 50 seats, they sold tickets to 55 passengers. Let random variable X be the number of ticketed passengers who actually show up for the flight. Based on the historical data, the airline determines the probability mass function of X in the table below. x 45 46 47 48 49 5 5 52 53 54 55 Px() 0.05 0.1 0.12 0.14 0.25 0.17 0.06 0.05 0.03 0.02...
Airlines overbook (sell more tickets than there are seats) flights, based on past records that indicate that approximately 5% of all passengers fail to arrive on time for their flight. Suppose a plane will hold 250 passengers, but the airline books 260 seats. What is the probability that at least one passenger will be bumped from the flight?
Airlines routinely overbook flights, selling more tickets than seats available. If too many ticketed passengers show up, they offer payments to volunteers who are willing to give up their seats. These take such forms as cash vouchers for future flights and upgrades to first class on the next flight out. Why would you (probably) object if you learned that the airline had bribed a local politician to obtain airport gate space that would otherwise have been used by a competitor?
Because many passengers who make reservations do not show up, airlines often overbook flights (sell more tickets than there are seats). A certain airplane holds 154 passengers. If the airline believes the rate of passenger no-shows is 7% and sells 166 tickets, is it likely they will not have enough seats and someone will get bumped? a) Use the normal model to approximate the binomial to determine the probability of at least 155 passengers showing up. b) Should the airline...
Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular the discrete random variable X (which counts the number of passengers who actually show up for the flight) has the following pmf: x4546474849505152535455P(X=x)0.050.10.120.140.250.170.060.050.030.020.01a) With what probability will all passengers who show up for the flight have a seat on this flight? b) What is the expected number of passengers who show up for this flight? What is the associated variance?
Case 7.2 Skyhigh Airlines Skyhigh Airlines flight 708 from New York to Los Angeles is a popular flight that is usually sold out. Unfortunately, some ticketed passengers change their plans at the last minute and cancel or re-book on another flight. Subsequently, the airline loses the $450 for every empty seat that the plane flies. To limit their losses from no-shows, the airline routinely overbooks flight 708, and hopes that the number of no-shows will equal the number of seats...
Please answer both questions. Will Rate!! An automobile service facility specializing the next car to be tuned engine tune-ups knows that 50 % of all tune-ups are done on four-cylinder automobiles, 35% on six-cylinder automobiles, and 15% on eight-cylinder automobiles. Let J the number of cylinders (a) What is the pmf of X7 P(x) line araph for the pmf of part (a). (b) Draw Probability Probability 0.5 0.45 0.4 035 0.3 0.5 045 0.4 О35 0.3 0.25 0.25 0.2 0.2...