Math  /  Data & Statistics

QuestionA 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 4/524 / 52.) Otherwise, the customer must pay the bill. Suppose that 250 customers place lunch orders on the first day of the promotion. Let XX == the number of people who win a free lunch. Explain why X is a binomial random variable. B- choose your answer... \square "failure"=Anything but a type your answer... \square - "success"=Draw a type your answer... \square \qquad - Knowing whether or not one person gets a type your answer... \square tells you choose your answer... \square about whether or not 11- choose your answer... \square another person gets a type your answer... \square N- \square n=-n= type your answer... \square
S- \square p=p= type your answer... \square

Studdy Solution
XX is a binomial random variable because it counts the number of successes (free lunches) in 250 independent trials, each with a probability of success of 113\frac{1}{13}. - "success"= Draw a 3 - "failure"= Anything but a 3 - Knowing whether or not one person gets a free lunch tells you *nothing* about whether or not another person gets a free lunch. - n=250n = 250 - p=113p = \frac{1}{13}

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