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John has a choice between two options, to play 3 tennis sets with his father ("F") and Bill ("B"), a tennis champion. He can either play in the order F-B-F, or in the order B-F-B. Bill is a better player than his father. If John wins two sets in a row, he will win a prize.
(a) Which order should John choose? Why?
(b) Let Z be the number of times John wins. If, instead, John wanted to maximize E[Z], should he make a different choice? Why or why not?
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
A draw bridge is 160 feet long. The two sections of the bridge can be lifted upward to an angle of 40 degrees. If the water is 20 feet below the bridge, find the distance d between the end of a section and the water level when the bridge is fully ..
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
Shuffle an ordinary deck of 52 playing cards. Then turn up cards from the top until the first ace appears. What is the expected value of the number of cards required to produce the first ace?
A cylindrical package sent by the post office can have a maximum combined length and girth(the perimeter of a cross section) of 108 inches
general relation between linear algebra and abstract algebra.
Last season a major league baseball player got 120 hits in 240 times at bat. If the player expects to bat 500 times in the entire season with the same ratio of hits to at bats, how many hits can the player expect to have?
A rectangular page is to contain 114 square inches of printable area. The margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is 2 inches. What should the dimensions of the page be so tha..
Find the equation of the regression line for the given data. Predict the value of Y when X=-2? Predict the value of Y when X = 4?
Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
ages of all students enrolled at Casenec college form a normal distribution with a mean of 25 years and a standard deviation of 5 years.
At what time does the rocket land? (Give your answer correct to one decimal place.)
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