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Are random variables x and y independent

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Reference no: EM13319801

Suppose a fair coin is tossed 3 times and let a random variable X denote the number of heads. Define Y, a Bernoulli random variable, as Y=1 if the first tossed coin turns up head, and Y=0 otherwise.

(i) Determine and sketch the pdf of X and cdf of X.

(ii) Determine the joint probability density function of (X, Y)

(iii) Are random variables X and Y independent? Explain.

(iv) Compute P(X=2|Y=1), Cov(X,Y) and Corr(X, Y)

Reference no: EM13319801

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