Question

Consider a binomial experiment with n=.14 with and p= 0.2.

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

b. Compute f(12) (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

GIVEN:

Let X follows binomial distribution with:

Number of trials

Probability of success

FORMULA USED:

The probability of getting x number of successes in n number of trials is,

,  

SOLUTION:

(a) :

  

  

(b) :

  

(c) :

  

  

  

(d) :

  

  

  

(e) EXPECTATION:

Expectation of binomial experiment is calculated as follows:

  

  

(f) VARIANCE AND STANDARD DEVIATION:

Variance of binomial experiment is calculated as follows:

  

  

Standard deviation of binomial experiment is calculated as follows: