# math

In old gangster movies on TV, you often hear of "number runners" or the "numbers racket." This numbers game, which is still played today, involves betting \$1 on the last three digits of the number of stocks sold on a particular day in the future as reported in The Wall Street Journal. If the payoff is \$900, what is the expectation for this numbers game?

A realtor who takes the listing on a house to be sold knows that she will spend \$900 trying to sell the house. If she sells it herself, she will earn 6% of the selling price. If another realtor sells a house from her list, the first realtor will earn only 3% of the price. If the house remains unsold after 6 months, she will lose the listing. Suppose that probabilities are as follows:
Event Probability
Sells the house alone 0.50
Sells through another agent 0.40
Does not sell in 6 months 0.10
What is the expected profit from listing a \$175,000 house?

In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table:
Number tardy: 0 1 2 3 4
Probability: 0.19 0.26 0.29 0.22 0.04
What is the expected number of tardies (rounded to two decimal places)?

Calculate the expectation (to the nearest cent) for the Reader's Digest sweepstakes described. Assume there are 187,000,000 entries.

1. 👍 0
2. 👎 0
3. 👁 1,080

## Similar Questions

1. ### algebra

Are the following true or false? 1. The difference of two natural numbers is always a natural number. 2. The sum of two natural numbers is always a natural number. 3. The quotient of two natural numbers is always a natural number.

2. ### Math

Jabari is thinking of three numbers. The greatest number is twice as big as the least number. The middle number is three more than the least number. The sum of the three numbers is 75. Find the numbers.

3. ### Algebra

Organizers for a local race plan to provide 4 water bottles for each runner, 328 people have signed up to run in the race which of the following equations represent the this situation and what does the variable x represent A)

4. ### math word problem

Organizers for a local race plan to provide 4 water bottles for each runner, 328 people have signed up to run in the race which of the following equations represent the this situation and what does the variable x represent A)

1. ### math

a tennis racket costs \$12 more then a hockey stick . if the price of the two is \$31 find the cost of the tennis racket

2. ### math

16. Assume that there are 20,000 runners in the New York City Marathon. Each runner runs a distance of 26 miles. If you add together the total number of miles for all the runners, how many times around the globe would the marathon

3. ### Algebra 2

the cost c of going to the movies varies directly with the number of people N attending. A group of four paid \$14 to go to the movies on Friday. Write an equation that relates c & n. How much would it cost for seven people to go

4. ### pre-algebra

1.Which of the following numbers is an example of an integer? A. -15 B. three-fifths C. start root 7 end root D. 0.252525 . . . 2.Which statement is false? A. Every integer is a real number. B. The number zero is a rational

1. ### Statistics

5. Emily was conducting a survey about her friends' favorite movies. She asked her friends the following questions. Do you prefer action movies of boring drama movies? Which of the following words is most likely to cause bias to

2. ### Algebra

The chart below shows the average number of movies seen per person in selected countries. A chart is shown with 2 columns.The first column is titled Country. The second column is titled Average number of movies a person sees in a

3. ### physics

a 0.055kg tennis ball approaches a tennis racket at 25m/s, stays in contact with it for 0.010s, is reversed in direction leaves the racket at 40m/s. what is the avg force between the racket and ball?

4. ### Pre algebra

which is an example of an integer? -15 3/5 √7 0.252525 Which statement is false? A) Every integer is a real number. B)The number zero is a rational number. C) Every irrational number is a real number. D) Every real number is a