There rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If and ^2 repre…

Question

There rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If and ^2 represent mean and variance of X, respectively, then 10 ( ^2+ ^2) is equal to

Accepted Answer

Correct answer: A. (a) Solution x p (x ) xp (x ) x^2p (x ) 0 1/6 0 0 1 ½ ½ ½ 2 3/10 6/10 12/10 3 1/30 1/10 9/30 xP (x )= 63= ^2= x^2P (x )- ^2 ^2+ ^2=0+ 12+ 1210+ 930=2 10( ^2+ ^2)=20 Ans

$There rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If μ and σ^{2} represent mean and variance of X, respectively, then 10 (μ^{2} + σ^{2}) is equal to$

Solution

More Statistics PYQs