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A box contains ten $1 bills, five $2 bills, three $5 bills, three $10 bills, and three $100 bills. A person is charged $20 to reach into the box while blindfolded and pull out one bill. Find the person's expected average winning or profit each time the game is played. For this game to be fair, how much should the person be charged to play?
(Hint: Be sure to work this problem using "Expectation". There are a couple of ways that you can "play" with the numbers to get the following correct answer. But, the "method of solution" is very important, and you should use "Expectation". Here are the answers... but how do you get them? The player should expect to lose $4.79 per play (on average). The game should charge $15.21 to be fair. A "fair game" is when everyone "breaks" even in the end; neither party gains money!)
the population in millions of a bacteria culture after t hours is given by y=30 x 1.2t
Calculate the overall mortality rate in each country and calculate an age-adjusted mortality rate for each country.
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
total cost of producing x toasters per day is given by C = (1/10xsquared+20x+25)and the selling price for each toaster is (44-1/5x). how many toasters should be produced each day in order to maximize the total profit.
Which set of mixed numbers had a difference less than 1
determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems.
In this case, assume a non-directional hypothesis is appropriate because there are insufficient theoretical and empirical bases to warrant a directional hypothesis.
Find the volume of the solid whose base is the region bounded by y=x^{6}, y=1, and the y-axis and whose cross-sections perpendicular to the y axis are equilateral triangles.
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
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