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AP EAMCET20228 Jul 2022Morning ShiftMathematicsProbabilityActual

The discreate random variables X and Y are independent from one another and are defined as X B (n₁, 0.5 ) and Y B ( n ₂, 0.4 ) . If the variance of both X and Y is 6 then n₁+n₂ =

Options

  1. A7
  2. B6
  3. C5
  4. D4

Correct answer

A. 7

Step-by-step solution

We are given that X B ( x ₁, 0.5 ) , aligned & Y B ( x ₂, 0.4 ) & Here p ₁=0.5, a ₁=0.5 & p ₂=0.4, a ₂=0.6 & Now 6= x ₁ p ₁ a ₁ aligned 6=x₁ 0.5 0.5 600 0.5 0.5 x=14 Now 6=x₂ p₂ a₂ x₂ 0.4 0.6 aligned & x ₂= 600 0.4 0.6 x ₂=25 & x ₁+ x ₂ = 24+25 = 49 =7 aligned

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