Q2 of 62 Page 1346

Mark (√) against the correct answer in each of the following:

If A and B are independent events such that P(A) = 0.4, P(B) = x and P(A ∪ B) = 0.5, then x = ?


As A and B are independent events such that P(A) = 0.4, P(B) = x


So, P(AB) = P(A)P(B)


And P(A B) = P(A)+P(B)+P(AB)


P(A B) = 0.4 + X - 0.4X = 0.5


⇒ 0.4 + 0.6X = 0.5


⇒ X = 1/6

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32

Bring out the fallacy, if any, in the following statement:

‘The mean of a binomial distribution is 6 and its variance is 9’


 1

Mark (√) against the correct answer in each of the following:

If A and B are mutually exclusive events such that P(A) = 0.4, P(B) =x and P(A ∪ B) = 0.5, then x = ?


 3

Mark (√) against the correct answer in each of the following:

If P(A) = 0.8, P(B) = 0.5 and P(B/A) = 0.4, then P(A/B) =?


 4

Mark (√) against the correct answer in each of the following:

If P(A) = , P(B) = and P(A ∪ B) = , then P(A/B)=?