Question Let X be a random variable with probability distribution as shown below: (x)/ 0, elsewher 7x) = 3r' ot>*> %3D %3D Then the value of E(g(X)) is: O115/3 None of the other options 59/3 O50/3 Question

Q: Question 1. Let X and Y be independent random variables. Suppose that the moment generating…

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Q: 1. Fill out the table.

A: here given outcomes of rolling 2 dice there are total 36 outcomes

Q: Find the value of, (i) k (ii) P(X < 2) (iii) P(2 <X< 5).

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Q: Suppose that the random variable Y has an exponential distribution EXP(4), and the conditional…

A: Given Suppose that the random variable Y has an exponential distribution EXP(4), and the conditional…

Q: Let X be a random variable with probability distribution 1 2 3 f(x) 0.3 If E(X) = 1.8, then B %3D…

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Q: What is the probability that the first person selected is a supervisor and in management

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Q: 1 3 4. P(x) k 2k 0.15 0.2 0.05 Find the value of k. • 1 • 0.3 • 0.6 • 0.2 2.

A: Given:  xi 0 1 2 3 4 Pxi k 2k 0.15 0.2 0.05

Q: 7. Let X be a continuous random variable with p.d.f. f (x) ax, 0sxs1 %3D = a 1sxs2 = -ax+3a, 2sxs3 =…

A: Given data   fx = ax                       0≤x≤1           = a                        1≤x≤2…

Q: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z &gt;=3 or z =-1 ) = ? P ( z &gt;=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: Let P(x) = , x = 0,1, 2,3 be a probability distribution for a discrete random variable X, find: %3D…

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Q: (a) Find the probability Pr(X s x, Y = y) (b) Find the probability Pr(X s x- 1, Y = y) (c) Find the…

A: Answer:----.                 Date:----3/10/2021

Q: What is the probability that the first person selected is a supervisor and in management?  A. 0 B.…

A: Given table is : Classification Event Number of employees Supervisor A120Maintenance B50Production…

Q: E and F are mutually exclusive events. P(E) = 0.1; P(F) = 0.6. Find P(E | F) %3!

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Q: The probability distribution function of a discrete random variable X is x2 55 ,x = 1,2,3,4,5 0,…

A: Find  Var(3X+2)=? 5E(2X-1)=? E(2X+1)2=?

Q: The discrete random variable X has probability function f(x) given by f(x) = k (lxl + 1)²,x = -1,0,1…

A: It is highly useful in statistics . It is an application of discrete probability distribution .

Q: First pic:According to Chai's theorem, P(1X-uaS 1.8 ox)2 >=0.691 can be obtained, which is an…

A: The probability distribution of the data is, Fx=cx                , x=1, 3, 5, 70               ,…

Q: Let us fix an event E and consider the random variable X = 1e, that is to say the random variable…

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Q: A discrete random variable X has the probability distribution as follows: *(x)= 5-x ;x%- 1,2,3,4 10…

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Q: 4

A: The value of mean is given as, Ex=1.5. The value of variance is given as, varx=0.25. To determine…

Q: Consider two events A and B such that P(A) 8' - P(A/B) 1 and P(B/A) 4 1 Examine th following…

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Q: The random variable X ~ B(150, 0.04) a Calculate: i P(X= 5) b Use a Poisson approximation to find…

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Q: K LTE2 .ill Suppose that events E and F are independent, P(E) = 0.3, and P(F) = 0.7. What is the P(E…

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Q: In the exercise, X is a binomial variable with n = 5 and p = 0.3. Compute the given probability.…

A: Given, n = 5 p = 0.3

Q: Question Let X and Y be two random variable with E(X) = 1,Var(X) = 2, E(Y) = 2,Var(Y)%3D 2. Then…

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Q: Let P(x) = , x = 0, 1, 2,3 be a probability distribution for a discrete random variable X, find: a)…

A: As per our guidelines we are suppose to answer three sub parts

Q: Consider a random variable X that can take on only two values, 0 and 1, with equal probability. a)…

A: Given a random variable X that can take on only two values, 0 and 1, with equal probability.

Q: H P(x)-s/4, what ore the possible vakues ot X tor it to be a probability distribution? etta What in…

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Q: 5) A random variable x has the probability distribution given in the table below. 2 0.2 |0.3 1 3 4 5…

A: Use the fact that the sum of the probabilities in the probability distribution is equal to 1.

Q: It is known that 4% of the light bulbs produced by a certain factory have short life span. Arandom…

A: Solution: 10. Let X be the number of light bulbs have short life span. From the given information,…

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: Let X and Y be binomial random variables with distributions of Bi(n, p) and Bi(m, p) respectively.…

A: It is given that the probability generating function of X is, The probability generating function…

Q: The probability distribution of a random variable x is given below, X = xi P(X=xi) : 1/7 Find its…

A: Answer: From the given data,   X= Xi       :         1               2                   3 P(X= Xi)…

Q: Question * Let X be a random variable with probability distribution as shown below: -Isrs2 S(x)={3…

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Q: The random variable A has range (0, 1), and p.d.I. given by f(x)=3(x-1)², 0<x< 1. (a) Explain why…

A: Solution: The probability density function of random variable X is  f(x)=3(x-1)2        for…