1. ## emperical probability problem

the probability that an insurance agent will sell a life insurance policy to someone who has been randomly selected from the telephone directory is 0.15. if an insurance agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?

i have tried to sort this problem out but no way, pls help!

2. ## Re: emperical probability problem

Originally Posted by lawochekel
the probability that an insurance agent will sell a life insurance policy to someone who has been randomly selected from the telephone directory is 0.15. if an insurance agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?
The probability that he sells to exactly $\displaystyle k$ people is $\displaystyle \binom{6}{k}(0.15)^k(0.85)^{6-k}$.
Now find out the values $\displaystyle k=4,~5,~6$ and add.

3. ## Re: emperical probability problem

Hello, lawochekel!

the probability that an insurance agent will sell a life insurance policy to someone
who has been randomly selected from the telephone directory is 0.15.
if an agent calls 6 persons, what is the probability that he will sell no fewer than 4 policies?

Not sure what you mean by "sort this problem out",
. . but you must have done some Thinking, right?

For example, "no fewer than 4 sales" means 4 sales or 5 sales or 6 sales.

You should be familiar with Binomial Probability (or Bernoulli trials),
. . or you should not have been assigned this problem.