Question

Consider a binomial experiment with n=.14 with and p= 0.01.

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

  

b. Compute f(2) (to 4 decimals).

  

c. Compute P(x< or equal to 1) (to 4 decimals).

  

d. Compute P(x >or equal to 4)   (to 4 decimals).

  

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

  

f. Compute Var(x) and mean .

(to 2 decimals)

(to 2 decimals)

Answer 1

(a)

n = 14

p = 0.01

So,

q = 1 - p = 0.99

So,

Answer is:

0.8687

(b)

So,

Answer is:

0.0081

(c)

P(X1) = P(X=0) + P(X=1)

So,

P(X1) = 0.9916

So,

Answer is:

0.9916

(d)

P(X4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

So,

P(X4) = 1 - 0.999990761 = 0.000009239

           = 0.0000

So,

Answer is:

0.0000

(e)
E(X) = np = 14X 0.01 = 0.14

So,

Answer is:

0.14

(f)

Var(X)= npq = 14 X 0.01 X 0.99 = 0.1386

So,

Answer is:

0.14