1. In a binomial distribution n = 8 and π = 0.2. Find the probabilities of the following events.

a)X = 2
b)X ≤ 2
c)X ≥ 3

2. A telemarketer makes six phone calls per hour and is able to make a sale on 30 percent of these contacts. During the next two hours, find the following.

a)The probability of making exactly four sales is _______.
b)The probability of making no sales is _______.
c)The probability of making exactly two sales is _______.
d)The mean number of sales in the two-hour period, µ is _______.

3. In a binomial situation n = 8 and π = 0.35. Determine the probabilities of the following events using the binomial formula. (Round your answers to 4 decimal places.)

a) X = 6
b) X = 7