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Question: We have a dime and a fifty cent piece in a cup. We withdraw one coin. What is the expected amount of money we withdraw? What is the variance? Now we draw a second coin, without replacing the first. What is the expected amount of money we withdraw? What is the variance? Suppose instead we consider withdrawing two coins from the cup together. What is the expected amount of money we withdraw, and what is the variance? What does this example show about whether the variance of a sum of random variables is the sum of their variances.
The balance at the end of 20 years is 3 times the balance at the end of 10 years. What is the balance in the account at the end of 20 years?
Assume that the probability a child is a boy is 0.51 and that the sexes of children born into a family are independent.
Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
Find the area of the region enclosed by the curves y = 5cos((pi*x)/2) and y = 5-5x^2
Find the value of x so that C(x) = 20.03 and interpret in the context of the problem in complete sentences. Round your answers to the nearest kilowatt-hour.
a farmer has 400 feet of fence with which to fence a rectangular plot of land. the plot lies along a river so that only three sides need to be fenced. estimate the largest area that can be fenced.
Calculate the marginal after-tax winnings - find that jackpot size (to the nearest dollar) and explain what is significant (in terms of winnings) about that jackpot size.
so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 20 feet
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Use Cylindrical coordinates to evaluate the triple integral SSS_E sqrt(x^2+y^2)dV, where E is the solid bounded by the circular paraboloid z=16-1(x^2+y^2) and the xy-plane.
An economy has three sectors: A, B, C. Sector A sells 20% of its output to B and 30% to C and retains the rest. Sector B sells 30% of its output to A and 40% to C and retains the rest. Sector C sells 50% of its output to A and 30% to B and retains..
Plot different members of the families y1=x2+C1 and y2=-x2+C2. Constuct a piece wise defined function- not a member of the previous two- which is also a solution of the same DE.
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