с) Cou (X, Y)d) Corr(X,Y) Problem 4Suppose X and Y have the following joint probabilities:p(1,1) = 0.30 p(1,2) = 0.20p(2, 1) = 0.10 p(2,2) = 0.40

Answered: Image /qna-images/answer/074a4e0d-1bf5-4323-b19b-154a0eb7a176.jpg

Answered: Suppose X and Y have the following…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For RBD topology 1, the independent component working probabilities are P(A)0.83, P(B)-0.73, PIC)0.45, PID0.66, P(E0.83. What is the probability that the system will work? Your answer: O 0.382043 O 0.520173 O 0,436623 O 0.929271 O 0.903641 O 0.152346 O 0,952901 O 0728327
2. If P(X € A) — .3, P(X € В) %3 .25, Р(X € С) %3 .6, P(Х € AUB) 3 55, аnd P(X € BUС) %3 .7, determine the following probabilities. (а) Р(Х € А') (b) Р(X € В°) (с) Р(X € AnВ) (d) P(Х € ВПС)
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A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where both rates are exponential. Determine the following : (a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3... (b) The steady-state probabilities pn,n = 0, 1, 2, 3.. (c) Calculate steady-state measures Ls, Ws, Lq, Wq, c and utilization ratio.
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)
Given Probabilities y = 1 y = 2 x = 1 x = 2 0.2 0.3 0.5 Find: а. Pr(X > Y) %3 b. Pr(Y = 1) =
Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows:The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to make sure that Chris's belief about the prevalance of the mystery disease is no more than 100%. If p=0.95, 1=0.05, π=1, what must be the value of γ if Chris thinks that the probability Cardi has the disease is 0.9? A. 3.57 B. 0.5 C. 1.05 D. 3.214 Please provide explanation
A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive with a mean of 20 per hour and each desk serves with mean 10 customers per hour, where both rates are exponential. Determine the following : (a) Determine An, tn, C, and Aeff for n = 0, 1, 2, 3... (b) The steady-state probabilities pn,n = 0, 1, 2, 3.. (c) Calculate steady-state measures Ls, Ws, Lg, Wq, c and utilization ratio.
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H6.
A congressional committee is composed of 10 members: 6 Republicans and 4 Democrats. On any given vote, members vote independently. Whereas Republicans always vote their party line, Democrats vote their party line with probability .8, and vote Republican with probability .2. On a rainy day only 3 committee members (selected w/o replacement) were present. Let X = number of Democrats present Y = Number who voted Democratic that day Display the table of joint probabilities fX,Y(i,j) for 0 ≤ j ≤ i, for i=0,1,2,3. We can say that p(i,j)=P[x=i, Y=j].

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Suppose X and Y have the following joint probabilities: p(1, 1) = 0.30 p(1,2) = 0.20 p(2, 1) = 0.10 p(2, 2) = 0.40