Answer to Question #103558 in Statistics and Probability for suresh

Question

Historically, 5% of people who see this ad the first time click on it. What is the probability that this ad will receive 10 clicks after being shown to 50 new people? 100? 300?

Answer 1

This is a binomial distribution with p=0.05, q=1-p ; q=1-0.05=0.95 and x=10

P(x)= (nCx)*p^x*q^n-x

i) probability when n=50

=(50C10)*0.05^10*0.95^40

=0.0001289

ii)probability when n= 100

=(100C10)*0.05^10*0.95^90

=0.0167

iii) probability when n =300

=(300C10)*0.05^10*0.95^290

=0.0473