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 whoactually show up for the flight. The probability mass function of Y appears in the accompanying table.48495051 520.14 0.26 0.18 0.06 0.0553 540.03 0.02p(y)(a) What is the probability that the flight will accommodate all ticketed passengers who show up?45 46 470.04 0.10 0.11(b) What is the probability that not all ticketed passengers who show up can be accommodated?(c) 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 passengershave been accommodated), what is the probability that you will be able to take the flight?What is this probability if you are the third person on the standby list?Need Help?Submit Answer550.01Flead it

50 seats and 55 has tickets Note: According to Bartleby guidelines expert solve only one question…

Answered: Airlines sometimes overbook flights.…

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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High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
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A discrete random variable, y, has a probability distribution y: 6, 7, 8,9,10,11 and P : 0.13 ,0.26 ,0.14, 0.09 ,0.11,0.27 Calculate the standard deviation of y. a. O 0 O b. 1 C. O 0.54 d. no one of them O

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