SOLUTION: the probability that a double glazing salesperson will make a sale on a particular day is 0.05. what is the probability that over a three day period the sale person will make: 3 sa

Question 1011016: the probability that a double glazing salesperson will make a sale on a particular day is 0.05. what is the probability that over a three day period the sale person will make: 3 sales, exactly 1 sale, at least 1 sale?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Question:
the probability that a double glazing salesperson will make a sale on a particular day is 0.05. what is the probability that over a three day period the sale person will make: 3 sales, exactly 1 sale, at least 1 sale?

Solution:
We note that the questions satisfies the requirements of the binomial distribution, namely, known number of trials (n=3), constant probability (p=0.05), trials (days) are independent.
We need to assume that the salesman can only make a maximum of one sale a day.
The probability of making x sales in three days is given by the binomial distribution:

Where C(n,x) is the combination function where C(n,x)=n!/(x!(n-x)!)

A. Probability of making 3 sales in three days, P(X=3)

B. Probibility of making exactly one sale

C. Probability of making at least one sale

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