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The general manager of a pizza restaurant is running a surprise promotion in which every customer on a particular day has a 2% probability of winning free pizza for a % probability of win vear. (a) How many customer should the general manager expect until there is a winner? (b) If there were 150 customers on a day of the promotion, what is the probability that (i) none of the customers won?) That exactly one customer won? and iii) That at least two customers won?

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Answer #1

吋cuinning free pizza by eveny cushmer en a pal badal 0.0.2 for a yeah. Tuan· a) lt x he the random vasiables that indicares e until thebe a terneん( Success) , met win, but-second can win, a nelA00m. So anol 8o on So, The expected value-cx E(x) So, 5o ustomurs en a d shend he genial matat y be the random variables thar eneti calis Tue no ot cusho mers uwen The free pi 22a. Then 1S0-X or 1So (0.9 98) /X@. 90) . 1X O. 010 3 )That Exachy one customs on 14 150X@o*)x®.90) = o 8039

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