Question

Assuming that X is a binomial random variable with n = 10 and p = 0.25, find the probability, P for each of the following values of X. (a) X = 4. (Give the answer to four decimal places.) P(X = 4) = (b) X = 2. (Give the answer to four decimal places.) P(X = 2) = (c) X = 1. (Give the answer to four decimal places.) P(X = 1) = (d) X = 8. (Give the answer to seven decimal places.) P(X = 8) =

Answer 1

Listed below

Explanation:

X is a binomial random variable with n = 10 and p = 0.25

Hence P(X=r) =
`10Cr (0.25)^r (1-0.25)^(10-r)`, r=0,1,2...10

Use the above to get probability for any r

a)
`P(X=4) = 0.1460`

b)
`P(X=2) = 0.2816`

c)
`P(X=1) = 0.1877`

d)
`P(x=1) =0.18771172`

`P(X=8) = 0.00038624`