Solve the following problems properly.A shipment of 8 television sets contains 3 defective sets. A hotel makes a random purchase of 4 thesesets. If X is the number of defective sets purchased by the hotel, find (a0 the probability distribution and (b)the cumulative distribution of X. Using F(x), find (c) P(X = 2) and (d) P(0 < X <3).

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Answered: A shipment of 8 television sets…

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 shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If X is the number of defective sets purchased by the hotel, (a) find the probability distribution of X, express it in a table format. Probability distribution of X X P(X) (b) Find the cdf of X. (c) Find the E(X) and Var(X)
Let X be a random variable with the following probability f(x) = c(1 – 2x2 + x3), x = 0, 1, 2, 3, 4, 5. Find the value of c to make it a probability Establish the probability distribution of X (table). Find the mean of the random variable
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Bob and Lygia are going to play a series of Trivial Pursuit games. The first person to win four games will be declared the winner. Suppose that outcomes of successive games are independent and that the probability of Lygia winning any particular game is 0.6. Let y be the number of games won by the series loser. Determine the probability distribution of y. Y P(Y) 0 1 2 3
Find p(x) for x=0,1, 2, 3, 4, 5.
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
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Suppose a neighborhood grocery store buys 5 containers of skim milk at the wholesale price of $11 per container and sells it for $22 per container. After the expiration date, unsold milk is removed from the shelves and the grocer receives a credit from the distributor equal to three-fourths of the wholesale price. If the probability distribution of the variable is X and the number of containers sold from this lot is x f(x) 0 1/15 1 2/15 2 2/15 3 3/15 4 4/15 5 3/15 Calculate the expected utility. (Round to two decimal places)
There is small parking lot behind a floral shop that has two parking lot spaces.let x be the number of cars parked in the parking lot at midday. the probability distribution of x is given by P(X=x)=4 - x /9 x=0,1,2 contruct the probability distribution table?

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