A fair die is tossed. Let X denote twice the number appearing, and let Y denote 1 or 3 according as an odd or an even number appears. Find the distribution, expectation, variance and standard deviation of (a) X, (b) Y, (c) X + Y, (c) XY.

Q: Find the variance and standard deviation of the probability distribution of a random variable X…

A: Ans#  Given a random variable x has the probability distribution           P(2) = 920,  P(4) = 120,…

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A: Variance=EX2-E2(X)=12110+22110+32110+42110+52110+62110+72110+82110+92110+102110-1110+2110+3110+4110+…

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A: As per our guidelines we are suppose to answer only one question. E(X)=∑X.P(X)

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Q: a. Find the expected value of each discrete probability distribution. 5. 7. 8. 10 P(x) 0.15 0.32…

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Q: 3. Let X be a random variable with the following probability distribution: 5 10 15 20 25 X P(X) 0.5…

A: X 5 10 15 20 25 P(X) 0.5 0.30 0.25 0.25 0.15

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A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

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Q: 1. n = 30 and p = 0-6 2. n = 50 and p = 0.45 3. n = 80 andp= 0.35

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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Q: 3. Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=22920+42120+5215+32310-2920+4120+515+33102=10.3-32=1.3

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Q: 7. Let X be a random variable with probability distribution given by the following table: X 0 1 2 3…

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Q: Find the mean, variance and the standard deviation of the probability distribution of the random…

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Q: The random variable x represents the number of credit cards that adults have along with the…

A: The mean is, Ex=∑xPx=0×0.07+1×0.68+2×0.21+3×0.03+4×0.01=0+0.68+0.42+0.09+0.04=1.23 Thus, the mean…

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Q: 2. Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and…

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Q: Compute the mean and standard deviation of the random variable with the given discrete probability…

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Q: 2. The probability that a customer will buy 1, 2, 3, 4, or 5 items in a grocery store are 3 1 1 2 3…

A: First, it is required to find the mean of the probability distribution. The mean is computed by…