A random variable X has the following probability function.X :345nP(X):2K2K2K27K2+KK3KK2(i) Find K(ii) Evaluate P(X) P(X 2 6) and P(0 X 5)(iii) P(X S K)find the minimum value of K and(iv) Determine the distribution function of X

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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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The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) 0.5 b 1 a Let a and b are positive constants. If P(1 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 None of these a=0.1, b=0.7 a=0.5, b=0.8
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Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.15, 0.15, 0.35, and 0.35, respectively. (a) Calculate E(X) and then E(5 – X). E(X) = E(5 - X) (b) Would the repair facility be better off charging a flat fee of $95 or else the amount $ 150 ? [(5 - X)] Note: It is not generally true that E. E(Y) 150 The repair facility -Select--- v be better off charging a flat fee of $95 because E (5 - X)
Possible values of X, the number of components in a system submitted for repair that must be replaced, are 1, 2, 3, and 4 with corresponding probabilities 0.35, 0.15, 0.35, and 0.15, respectively. (a) Calculate E(X) and then E(5 - X). E(X) E(5-X) = (b) Would the repair facility be better off charging a flat fee of $70 or else the amount $ 150 (5-X) The repair facility ---Select--- be better off charging a flat fee of $70 because E ]= 150 (5-X)] ? Note: It is not generally true that : E ( =) = E(Y)
The circuit shown below operates if and only if there is some path of functional devices from left to right. The probability that each device functions is shown for each device and the devices operate independently of each other. What is the probability that the circuit operates? 0.9 0.9 0.8 0.95 0.95 0.9 (A) None of these (B) 0.5263 (C) 0.1642 (D) 0.9850 (E) 0.9702
I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly selected, find the smallest number x and largest number y such that (a) the probability that at least x of them will require repairs is less than 0.58; (b) the probability that at least y of them will not require repairs is greater than 0.84.
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A random variable X has the following probability function. X: 1 2. 3 4 P(X): K 2K 2K 3K K2 2K2 7K2+K (i) Find K (ii) Evaluate P(X) P(X 2 6) and P(0 X 5) (iii) P(X< K) , find the minimum value of K and