Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y, denote the number of contracts assigned to firm A and Y, the number of contracts assigned to firmB. Recall that each firm can receive 0, 1, or 2 contracts.(a) Find the joint probability function for Y, and Y,.y,1212(b) Find F(2, 0).F(2, 0) =

Three firms = A, B, C Y1=Assigned to A Y2=Assigned to B Each firm can receive 0, 1, 2 Joint…

Answered: Contracts for two construction jobs are…

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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Con side that the ten Percent of individuals getting tested for the Virus, have the Virus, Now Suppose that there is a test, Such that 99% og the individuals with Fhe Virus test Positive, and two Pere ent of the People that dont have the Virus ALSO test Positive ( Known as false Positives). So now Joe tested Positive for the Virus. Use Bayes The orem to Compute the Probability of Joe having the Virus, Perticular ly, w hat is the Pro bability that a rondomly - Selected indiuidual Who tested Posithue for the Virus,y actually has the Virus ? Theorem:- PrLB]A = PeLAIB] . Pr[B] रितAी
Let X and Y be independent discrete random variables and suppose that X+Y=2. Show that X and Y are constant random variables.
Solve it correctly please. I will rate accordingly.
A commuter must pass through three traffic lights on her way to work. For each traffic light, the probability that it is green when she arrives is 0.6. The lights are independent. 3 (a) Compute the probability that all three lights are green. (b) The commuter goes to work five days per week. Let X be the number of times out of the five days in a given week that all three lights are green. Assume the days are independent of one another. Determine the distribution of X. (c) Calculate P(X= 3).
For a fully discrete 2-year term life insurance on (50), you are given: a. Cash flows are annual. b. The annual gross premium is 250. c. The annual hurdle rate for profit calculation is 10%. d. The profit vector is (-165, 100, 125). e. The profit margin for this insurance is 6%. Calculate the probability that (50) will survive one year.
Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5 , and the probability that Thomas scores more than 175 is 0.1 . Their scores are independent. Round your answers to four decimal places, if necessary. (a) Find the probability that both score more than 175 . (b) Given that Thomas scores more than 175 , the probability that Sarah scores higher than Thomas is 0.4 . Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.
The device consists of 3 elements. The probability of failure free operation of each of them are respectively equal to. 0.6, 0.7, 0.8. Find the probability that at least two of elements will work without fail.
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
Q1 if the joint probability distribution of X and Y is .f(x,y)=2 x+y for x=0,1,2,3; y=0,1,2 30 Find (i) P(X2,Y<1)

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