If the mean and the variance of a binomial variate X are 2   &   1 respectively, then the…

If the mean and the variance of a binomial variate X  are 2 & 1 respectively, then the probability that X takes a value greater than or equal to one is:
  1. 116
  2. 916
  3. 34
  4. 1516

Solution

np=2

npq=1

∴q=12

p=1-q=12

n=4

PX≥1=1- 4C0 124120

1-116=1516

Asked in: JEE Main 2015 (11 Apr Online)

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