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categoryإحصاء schoolبكالوريوس event_available2026-07-13

السؤال

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Toss a fair coin 3 times. Let X = the number of heads on the first toss, Y the total number of heads on the last two tosses, and F the number of heads on the first two tosses. (a) Compute the joint probability table for X and Y by filling the gaps below: Important: Write your answer as the ratio of two integers for sakai to grade it correctly e.g., 1/2, 1/6, 2/3. If your answer is 0 just write 0. P(X=0, Y=0)= P(X=1,Y=0)= P(X=0, Y=1)= P(X=1, Y=1)= P(X=0, Y=2)= P(X=1,Y=2)= Question 2 of 4 (b) What is Cov[X, Y] (i.e., Covariance of X and Y)? A. -1/2 B. 1/2 C. O D. 1 Reset Selection 2.0 Points

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