- Sam is a telephone sales representative.
For each call to a customer
- Sam either makes a sale or does not make a sale
- sales are made independently
Past records show that, for each call to a customer, the probability that Sam makes a sale is 0.2
- Find the probability that Sam makes
- exactly 2 sales in 14 calls,
- more than 3 sales in 25 calls.
Sam makes \(n\) calls each day.
- Find the minimum value of \(n\)
- so that the expected number of sales each day is at least 6
- so that the probability of at least 1 sale in a randomly selected day exceeds 0.95