Suppose that the random variable X takes on the values 0,1. with the respective probabilities P[X = x]=, x = 0,1. Then: 1. Determine the constant c. 2. Compute the following probabilities: P[X23] P[X=2k +1, k =0,1.] P[X= 3k +1, k = 0,1.

Q: 2] If a random variable X is defined such that E[(X - 1)2]=10 ,E[(X- 2)²]=6. find u and o?. | =

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A: Solution is given below

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A: As per guidelines expert have to answer first question three subparts only dear student please…

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A: As per our guidelines we are suppose to answer first question .

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A: (a) We know, ∫fx dx=1∫02k+4x+2 dx=1∫02kx+2k+4x+8 dx=1kx22+2kx+2x2+8x02=12k+4k+8+16=16k=-23k=-236

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