Q:

In a binomial experiment the probability of success is 0.06. what is the probability of two successes in seven trials? 0.0600 0.0555 0.0866 0.0036

Accepted Solution

A:
Fill in the values into the base equation; 

p(X=x)=(nCr)(0.06)ˣ(0.94)⁽ⁿ⁻ˣ⁾

Where n is the number of trials, x is the probability of success, p is probability of success and q is the probability of failure. 

X~B(7, 0.06) 

P(X=2)=(7C2)(0.06)²(0.94)⁵
P(X=2)=0.05548 

Double check by inputting into a scientific calculator; 

P(X=2)=0.05548 ≈ 0.0555 

Hope I helped :)