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?
Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2, 0, 4, 5, and 6. Value x of X -2 0 4 6 P(x = x ) 0.20 0.12 0.21
? help
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…
Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -6, -2, 2, 4, and 5. Value x of X -6 -2 2 4 5 X P ( X = x) 0.27 0 0.25 0.24 3
Need answer of part d only
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a pool
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 67 64 75 86 73 73 y 42 39 48 51 44 51 (c) Find Se, a, b, and x. (Round your answers to four decimal places.) (d) Find the predicted percentage ŷ of successful field goals for a player with x = 65% successful free throws. (Round your answer to two decimal places.) (f) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places.) t = critical t = Conclusion Reject the null hypothesis, there is sufficient evidence that ? > 0. Reject the null hypothesis, there is insufficient evidence that ? > 0. Fail to reject the null hypothesis, there is insufficient…
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 73 84 88 63 76 85 y 46 45 55 41 51 53 Given that 3.755, a*13.677, b*0.445, x 78.167, Ex=469, y = 291, Ex² = 37,099, and y² = 14,257, find a 90% confidence interval for y when x=79. tc = 2.132 O between 40.9 and 56.9 O between 40.2 and 57.5 O between 40.1 and 57.6 O between 39.9 and 57.8 O between 40.4 and 57.4
A dentist studied the number of cavities filled in all of his patients over the last three years. Let X be the number of cavities filled in the last three years for a randomly chosen patient. The dentist found that the random variable, X, had the probability distribution shown in the table. Number of Cavities Probability 0 0.35 0 0.15 O 1.49 1.73 2.98 2 0.30 0.15 3 0.15 4 0.05 Let D be the difference in the number of cavities filled in two randomly selected patients. Assuming that cavities are filled independently of one another, what is the standard deviation of D?

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