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Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Fi

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Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X). Select the correct answer from above options

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6 numbers are possible1,2,3,4,5,6 P(X=2)=1/15 P(X=3)=2/15 P(X=4)=3/15 P(X=5)=4/15 P(X=6)=5/15 X P(X) 2 1/15 3 2/15 4 3/15 5 4/15 6 5/15 E=∑ X&P(x) =2⋅ 1 15 +3⋅ 2 15 +4⋅ 3 15 +5⋅ 4 15 +6⋅ 5 15 = 70 15 = 14 3

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