Q31 of 62 Page 1337

Obtain the binomial distribution whose mean is 10 and standard deviation is .

Mean is 10,

Standard deviation is

So, variance is ² i.e. 8

Thus,

Mean = np = 10

Variance = npq = 8

⇒ q =

⇒ p = 1 - =

⇒ n = 50

Thus, the binomial distribution is

For a binomial distribution, the mean is 6 and the standard deviation is . Find the probability of getting 5 successes.

In a binomial distribution, the sum and the product of the mean and the variance are (25/3) and (50/3) respectively. Find the distribution.

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

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

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 = ?