In: Statistics and Probability
Life insurance salesman meets his prospective customers separately. At each meeting, he makes the same effort to persuade the prospective client to be insured. The vendor's understanding after a long term in the insurance business is that the probability of persuading the customer to be insured (probability of success) is 0,1. What is the probability in 4 trials to insure one of them?
Probability of success (P)= 0.1
Sample size (n) = 4
Number of successes = 1
formula for binomial distribution is
P(X) = nCx * px * (1 - p)n-x
P(X=1) = 4C1 * 0.11 * (1 - 0.1)4-1
P(X=1) = 0.2916
probability in 4 trials to insure one of them = 0.2916