If n5 and pi 040 what is the probability that a X4 b X or e

If n=5 and pi = 0.40, what is the probability that:

a. X=4?

b. X< or equal to 3?

c. X<2?

d. X>1?

Solution

Given that n =5, pi = 0.40

Though nothing mentioned about the distribution it appears that x is binomial with p = 0.4 and n =5

a) P(x=4) = 5C4(0.4)⁴(0.6)

=0.0768

b) P(x<=3)

= 0.9130

c) P(X<2) = 0.3370

d) P(X>1) = 0.6630