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local fast food restaurant is running a Draw a three get it free lunch promotion...

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local fast food restaurant is running a Draw a three get it free lunch promotion After each Lustomer orders a touch screen display shows the message Press here to win a free lunch A computer program then simulates one card being drawn at random from a standard deck of laying cards If the chosen card is a 3 the customer s order is free Note that the probability of rawing a 3 from a standard deck of playing cards is 4 52 Otherwise the customer must pay the ill Suppose that 250 customers place lunch orders on the first day of the promotion Let X the umber of people who win a free lunch n 250 P 0 1 0 09 0 08 0 07 0 06 1 13 Plot distribution 1 One of the customers is surprised when only 10 people win a free lunch on a particular day Find the probability that 10 or fewer people win a free lunch by chance alone Show your work

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