Question

A used car salesperson claims that the probability of he selling a used car to an individual looking to purchase a used car is 60% and this probability does not vary from individual to individual.  Suppose 5 individuals come to speak to this salesperson one day.  If his belief is correct,

1. The probability (to 4 decimal places) that he will sell a car to the first individual he speaks to is _____

2. The probability (to 4 decimal places) that he will not sell a car to any of these 5 individuals is _____

3. The probability (to 4 decimal places) that he will sell a car to exactly 2 individuals is _____

4. The expected number (to 2 decimal places) of individuals he will sell a car to is _____

5. The standard deviation (to 4 decimal places) in the number of individuals to whom he will sell a car is

______

6. If the salesperson pays the dealership who allows him to sell cars $1000 per day for the privilege of working at the dealership, and, if he earns $2000 for each car he sells, the expected income per day is

______

Answer 1