Compute the Following Binomial Probabilities Directly from the Formula for B(x;n,p)

Essay

Compute the following binomial probabilities directly from the formula for b(x;n,p).
a. b(3; 8, .7)
b. b(5; 8, .7)
c. $P ( 3 \leq X \leq 5 ) \text { when } n = 8 \text { and } p = .7$
d. $P ( X \geq 1 ) \text { when } n = 10 \text { and } p = .1$