A local fast-food restaurant is running a “Draw a three, get it free” lunch promotion. After each customer 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 playing cards. If the chosen card is a 3, the customer’s order is free. (Note that the probability of drawing a 3 from a standard deck of playing cards is 4/52.) Otherwise, the customer must pay the bill. Suppose that 250 customers place lunch orders on the first day of the promotion. Let X = the number of people who win a free lunch. a. What is the probability that 31people or more get free lunch?
A local fast-food restaurant is running a “Draw a three, get it free” lunch promotion. After each
customer 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
playing cards. If the chosen card is a 3, the customer’s order is free. (Note that the
drawing a 3 from a standard deck of playing cards is 4/52.) Otherwise, the customer must pay the
bill. Suppose that 250 customers place lunch orders on the first day of the promotion. Let X = the
number of people who win a free lunch.
a. What is the probability that 31people or more get free
lunch?
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