PARAGRAPH "II"
Consider the 6 x 6 square in the figure. Let A 1 ,A 2 ,...,A 49 be the points of intersections (dots in the picture) in some order. We say that A i and A j are friends if they are adjacent along a row or along a column. Assume that each point A i has an equal chance of being chosen.
(There are two questions based on PARAGRAPH "II", the question given below is one of them)
Let p i be the probability that a randomly chosen point has i many friends, i = 0,1,2,3,4. Let X be a random variable such that for i = 0,1,2,3,4, the probability P(X = i)= p i . Then the value of 1E(X) is
Text Solution
Verified by Experts24.00
(24.00)
P i = Probability that randomly
selected points has friends
P 0 = 0 (0 friends)
P 1 = 0 (exactly 1 friends)
(exactly 2 friends)
(exactly 3 friends)
(exactly 4 friends)
Mean = E(x) = 
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