Advertisements
Advertisements
Question
For a binomial distribution mean is 6 and variance is 2. Find n and p.
Solution
Mean = 6, Variance = 2 But,
Mean = np and Variance = npq
∴ np = 6 and npq = 2
npq=2
(6)q=2 [∵ np=6]
q=1/3 ......(1)
p=1-1/3=2/3 [∵p=1-q]
`p=2/3`
np=6
n(2/3)=6
`n=9`
APPEARS IN
RELATED QUESTIONS
If X has a binomial distribution with n = 20 , p = `1/10` , find E (X) and V (X).
For a Binomial distribution n = 6 and p = 0.3, find the probability of getting
exactly 3 successes.
A new treatment for baldness is known to be effective in 70% of the cases treated. Four bald members from different families are treated. Find the probability that exactly two members are successfully treated.
A new treatment for baldness is known to be effective in 70% of the cases treated. Four bald members from different families are treated. Find the probability that at least one member is successfully treated.
