Binomial distribution

Question

Using the binomial distribution to determine the following:

a)If n = 4 and p = 0.20, then P(X=1) = ?

b)If n = 3 and p = 0.10, then P(X<2) = ?

c)If n = 6 and p = 0.30, then P(X>1) = ?

Answer 1

The binomial distribution is P(x) = _nC_xp^x(1-p)^n-x

a) x = 1, p=.2 and n=4

b) P(x<2) = P(0) + P(1) for n=3 and p=.1

c) P(x>1) = 1-P(0)-P(1) for n = 6 and p =.3