1. Given the probability distribution of a discrete random variable x below, 5 6. P(X) 14 36 36 36 36 2. Given the probability distribution of a discrete random variable X below, find P(X 2 8). 10 12 0.09 0.23 0.14 0.29 0.25 3. Given the probability distribution of a discrete random variable X below, find P(X s 7) 2 0.13 0.06 ? 0.22 0.34

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A: The discrete random variable X is given as:

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A: Data given Find  E(x)=mean

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A: Solution: From the given information, the probability mass function of X is

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A: x p(x) -3 0.10 0 0.17 1 0.36 3 0.37

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Q: 1.Write out and draw the marginal probability distribution of X. Show your work. 2. Find the mean…

A: Y=1 Y=2 Total X=1 0.20 0.10 0.30 X=2 0.40 0.30 0.70 Total 0.60 0.40 1

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Q: X P(x) 0 0.32 1 0.31 2 0.20 3 0.17 a) Find the mean of the probability distribution above. b) Find…

A: Given that  Probability distribution.  X 0 1 2 3 P(x) 0.32 0.31 0.20 0.17

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A: PX=x=0.25   if x=-20.10   if x=30.65   if x=4.20        otherwise

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Q: Answer number 8 only !

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Q: (e) P(1.62 ≤ x ≤ a) = 0.24 a = 2.34

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A: Given data is 1,1,1,4,4,7,8population mean(μ)=4variance (σ2)=7sample size (n)=42

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Q: 1. A random variable x has the probability distribution as follows: 2 4 P(x) 1/15 k/15 k/5 4/15 k/15…

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Q: 1. Given the probability distribution of a discrete random variable X below, tind P(X 5 7 9. PX) 14…

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