Question

Consider a binomial experiment with n =13 and p =0.3.

a. Compute f(0) (to 4 decimals).

f(0) = _______

b. Compute f(12) (to 4 decimals).

f(12) =_________

c. Compute p(x<=1) (to 4 decimals).

p(x<=1) = _________

d. Compute p (x>=3) (to 4 decimals).

p(x>=3) = _______

e. Compute E(x). (to 1 decimal)

E(x) = ________

f. Compute Var(x) and sigma

Var(x) = ________ (to 2 decimals).

sigma = _________ (to 2 decimals).

Answer 1

Answer:

Step-by-step explanation:

Given that X is binomial with n = 13 and p = 0.30

Pdf of x is

f(x) = $13Cx (0.3)^x (0.7)^{13-x}$

a) f(0) = P(x=0)

=0.00969

= 0.01

b) f(12) =

4.83(10^-6) ~0.00

c) $P(X\leq 1)\\=0.06366\\=0.0637$