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Please show step by step solution. thank you. 2) Joint probability distribution for the marital status of adults by gender is shown in the following

Please show step by step solution. thank you.

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2) Joint probability distribution for the marital status of adults by gender is shown in the following table: Marital Status (M) Single (1) Mam'ed(2) Widowed (3) Divorced (4) 0.138 0.290 0.044 ---- Where marital status is represented with random variable M with possible values of 1 (Single), 2 (Married), 3 (Widowed), and 4 (Divorced). Gender is represented with random variable G with possible values of 1 (Male) and 2 (Female). A) Calculate P(M = 3, G = 2) - B) Determine the marginal probability of M and G as follows: P(M=a) fora= 1,2, 3, and-4 P(G=b)forb=]and2. m C) Find out weather M and G are independent. Why or why not? You must show your work to receive credit. a D) Compute Cov(X,Y) (_

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