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Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables X and Y respectively denote the number of blue and yellow balls. If X and Y are the means of X and Y respectively, then 7 X +4 Y is equal to________

Correct answer

0

Step-by-step solution

aligned & 7 x = ^5 C ₁ ^4 C ₂+ ^5 C ₂ ^4 C ₁ 2+ ^5 C ₃ ^4 C ₀ 3 ^9 C ₃ 7 & 30+80+30 84 7 & = 140 12 = 70 6 = 35 3 aligned array |l|l|l|l|l|l| yellow & 0 & 1 & 2 & 3 & 4 & & ^5 C ₂ ^4 C ₁ & ^5 C ₁ ^4 C ₂ & ^5 C ₀ ^4 C ₃ & 0 array 4 y = 40+60+12 84 4= 112 21 = 16 3

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