Mathematics Homework Help

4. Jim has a 20% chance of making a free throw in basketball. Jim takes 5 shots.

(i) What is the probability that Jim makes his first shot on his first throw?

(ii) What is the probability that Jim does not make his first shot on the first, second,

or third throw?

2. 20,000 raffle tickets are sold. Each ticket costs $5. The raffle has 5 prizes. First prize is worth $5,000. Second prize is worth $2,000. Third prize is worh $1,000. Fourth prize is worth $500. Calculate the expected net gain for buying one raffle ticket.

5. A certain intersection has an average of 4 car accidents per month.

(i) What is the probability that no accidents occur in one month?

(ii) What is the probability that at most two accidents occur in one month?