A magical horse offers Jeff Bezos the following game. He starts by paying the horse an entrance fee of one hundred billion dollars. Then a fair coin is flipped until tails appears for the first time, at which point the game ends. He receives a payoff of 2n dollars, where n is the number of times the coin was flipped before the game ended. Let X be the random variable denoting his total gain or loss from this game. Required:
a. Calculate the expectation of X.
b. Explain how you would interpret the result of Part (a) in terms of whether the horse’s offer is in his financial interest.

How can you construct perpendicular lines and prove theorems about perpendicular lines

Which situation could best be represented by this linear equation? 24x + 38y = 520 > if x represents the number of bracelets and y represents the number of rings, there were 24 more bracelets sold than rings. the total sales were $520. if x represents the number of bracelets and y represents the number of rings, there were 38 more bracelets sold than rings. the total sales were $520. if x represents the number of bracelets sold at $24 each and y represents the number of rings sold at $38 each, the total sales were $520 if x represents the number of bracelets and y represents the number of rings, there were 520 bracelets and rings sold. bracelets were $24, and rings were $38. e

Which expression has a negative value? 2+12 (-) ) -35-5