I need help with number 5, instructions at the top of page MATH 0332/1332 Assignment 6.4Mathematical Expectation (Expected Value)Create a probability distribution for the given scenario. Then use that probability distribution tocalculate the mathematical expectation (expected value) and answer any other questions.1.Find the expected number of tails obtained when tossing three coins.1.5 tails2. The first team to win four games in the World Series wins the championship. In 40 World Seriesevents, there have been 8 times where four games were needed to decide the series, 7 times whenfive games were needed to decided the series, 9 times when six games were needed to decide theseries, and 16 times where all seven games were needed to decide the series. Find the expectednumber of games played in the World Series.5.825games 33. Betty is playing a game with a fair die. If she rolls a prime number, she scores 10 times thenumber rolls. If she rolls a compošite number, she scores 5 times the number rolls. If she rollsanything else, she scores the number rolled. What score should Betty expect on average?4. The spinner below is being used in a casino game. The spinner has eight equal sectors. Eachsector is a certain color (P = purple, R = red, Y = yellow, and B = blue). You must pay $5 to playthe game. If the arrow lands on purple, the payoff is zero. If the arrow lands on red, the payoff is$3. If the arrow lands on yellow, the payoff is $6. If the arrow lands on blue, the payoff is $16.If you play this game, what is your expected net winning?YYPPB5. An insurance company will insure a $130,000 home for its total value for an annual premium of$950. If the company spends $30 per year to service such a policy, the probability of total lossfor such a home in a given year is 0.002 and a partial loss of $5000 is 0.005. If you assume thateither total loss, $5000 partial loss or no loss will occur, what is the company's expected annualgain (or profit) on such a policy?6. A college foundation raises funds by selling raffle tickets for a new car worth $45,000. If 800tickets are sold for $100 each, determine:The expected net winnings of a person buying one of the tickets.a.b. The total profit for the foundation, assuming that the car was donated.The total profit for the foundation, assuming that it had to purchase the car.с.

Question

Accepted Answer

here as per note given i have calculated answer for Q.5
here An insurance company will insure a…

for such a home in a given year is 0.002 and a partial loss of $5000 is 0.005. If you assume that either total loss, $5000 partial loss or no loss will occur, what is the company's expected annual gain (or profit) on such a policy?