Answer to Question #210036 in Statistics and Probability for salman

Question

If the likelihood of binominal distribution for a tagged order form is successful probability

is 0.1, what is the probability that there are three tagged order forms in the sample of four?

Required

a. Determining Given n = 4 and p = 0.1 P(X = 3)

Answer 1

n=4, p=0.1

probability that there are three tagged order forms in the sample of four

$P(X=3)=^4C_3p^3(1-p)^{4-3}$

$=4\times (0.1)^3.(0.9) \\ =3.6\times 0.001 \\ =0.0036$