A coin that comes up heads with probability p is continually
flipped until the pattern H, H, T appears. (That is, you stop flipping
when the most recent flip lands tails and the two immediately preceding it lands heads.) Let X denote the number of flips made. Find
E[X]. You may leave your answer in terms of an equation in E[X]
and p. solution: Note that this problem is a modified version of one
of your homework problems. Proceed using one-step arguments.

Find the missing dimension extra points

Which equation can be solved to find one of the missing side lengths in the triangle? cos(60o) = cos(60o) = cos(60o) = cos(60o) = mark this and return

Let us imagine that the number of automobile accidents in a certain region are related to the regional number of registered automobiles in tens of thousands (b1), alcoholic beverage sales in $10,000 (b2), and decrease in the price of gasoline in cents (b3). furthermore, imagine that the regression formula has been calculated as: y = a + b1x1 + b2x2 + b3x3 where y = the number of automobile accidents, a = 7.5, b1 = 3.5, b2 = 4.5, and b3 = 2.5 calculate the expected number of automobile accidents for a football weekend if the region has 25,000 registered vehicles, $75,000 worth of beer is sold, and a gas war causes a 10 cent drop in a gallon of gas.