Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline takes 110 reservations. Define the variable x as the number of people who actually show up for a sold-out flight. From past experience, the probability distribution of x is given in thetable shown below.9596979899100101102P(x) 0.06 0.090.120.140.230.150.070.05103104105106107108109110p(x)0.040.020.010.0050.0050.0050.00310.0019(a) What is the probability that the airline can accommodate everyone who shows up for the flight?(b) What is the probability that not all passengers can be accommodated?(c) If you are trying to get a seat on such a flight and you are number 1 on the standby list, what is the probability that you will be able to take the flight?What if you are number 3?

Here given Airlines sometimes overbook flights. Suppose that for a plane with 100 seats, an airline…

Answered: (a) What is the probability that the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. (a) What is the probability that both grapes are green? Show your work. (b) What is the probability that Henry eats a green grape then a red grape? Show your work.
You look over the songs in a jukebox and determine that you like 13 of the 59 songs (a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated.) (b) What is the probability that you do not like the any of the next four songs that are played? ( Assume a song cannot be repeated.
You look over the songs in a jukebox and determine that you like 12 of the 57 songs. (a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated.) (b) What is the probability that you do not like the any of the next four songs that are played? (Assume a song cannot be repeated.)
A math class consists of 30 students, 16 female and 14 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
A game involves rolling two six-sided dice, followed by rolling a third six-sided die. To win the game, the number rolled on the third die must lie between the two numbers rolled previously. For example, if the first two die show 1 and 4, the game can only be won by rolling a 2 or 3 with the third die. (a) What is the probability that a player has no chance of winning before rolling the third die? (b) What is the probability that a player wins the game?
For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is 0.15. What is the probability that(a) at least one member of a married couple will vote?(b) a wife will vote, given that her husband will vote?(c) a husband will vote, given that his wife will not vote?
The sex ratio of newborn human infants is about 105 males to 100 females. If four infants are chosen at random, what is the probability that (a) two are male and two are female? (b) all four are male? (c) all four are of the same sex?
(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second? (Enter your probability as a fraction.) (b) Answer part (a) if the first ball is not replaced before the second is drawn. (Enter your probability as a fraction.) (c) Are the events in part (a) or in part (b) independent? Explain. Since the ball was replaced the events in part (a) are --Select--- ◆ . Not replacing the first ball ---Select--- the sample space thus the events in part (b) were ---Select---
Suppose Bob is shooting targets at a booth at the county fair. If he hits the target, he winsa prize. He’s not a particularly good shot, so the probability he hits the target is only 0.3.(a) Suppose he just wants to win one prize for his daughter before going home.What is the probability that he will win a prize in 5 shots or less?(b) Suppose he wants to win two prizes before going home- one for his daughterand one for her friend who came with them. What is the probability that he will wintwo prizes in 5 shots or less?
A math class consists of 39 students, 16 female and 23 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males?(c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
You have a box of chocolates that contains 14 pieces of which:5 are solid chocolate,4 are filled with cashews, and5 are filled with cherries.All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. (a) Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. (b) Find the probability of selecting a solid chocolate piece and two cherry-filled chocolates in any order.
EXAMPLE 3 A new couple, known to have two children, has just moved into town. Suppose that the mother is encountered walking with one of her children. If this child is a girl, what is the probability that both children are girls?

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