SOLUTION: A salesperson has a 50% chance of making a sale to any customer called upon. If 4 calls are made: A) what is the probability of no sales made (P(x=0))? B) what is the probability

Algebra ->  Probability-and-statistics -> SOLUTION: A salesperson has a 50% chance of making a sale to any customer called upon. If 4 calls are made: A) what is the probability of no sales made (P(x=0))? B) what is the probability      Log On


   

Question 813322: A salesperson has a 50% chance of making a sale to any customer called upon. If 4 calls are made:
A) what is the probability of no sales made (P(x=0))?
B) what is the probability that at least two sales are made (P(xis greater then equal to 2) )?
C) what is the average number of sales?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

50% chance of making a sale to any customer called upon.

4 calls made

averages 2 sales per 4 calls, P(≥ 2)

Poisson Distribution

P(x μ) = +%28e%5E%28-u%29%2Au%5Ex%29%2Fx%21 

P(≥ 2) =  1 - P(0) - P(1)

P(0)=+%28e%5E%28-2%29%2A2%5E0%29%2F0%21 = .1353

P(1)=+%28e%5E%28-2%29%2A2%5E1%29%2F1%21 = .2707

P(≥2) =  1 - P(0) - P(1) = 0.5940