تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
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
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