Comprehension
Consider the 6 x 6 square in the figure. Let A1, A2, ........, A49 be the points of intersections (dots in the picture) in some order. We say that Ai and Aj are friends if they are adjacent along a row or a column. Assume that each point Ai has an equal chance of being chosen.
Question: 1
Let pi 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) = pi. Then the value of 7E(X) is _____.
Let pi 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) = pi. Then the value of 7E(X) is _____.
Updated On: Mar 30, 2024
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Correct Answer: 24
Solution and Explanation
\(7E(X) =24 \)
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Question: 2
Two distinct points are chosen randomly out of the points A1, A2, ........, A49. Let p be the probability that they are friends. Then the value of 7p is
Two distinct points are chosen randomly out of the points A1, A2, ........, A49. Let p be the probability that they are friends. Then the value of 7p is
Updated On: Mar 30, 2024
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Correct Answer: 0.5
Solution and Explanation
Value of 7p is 0.50.
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