Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. a. What is the probability of drawing at least 7 diamonds? b. For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all.

a. What is the probability of drawing at least 7 diamonds?

b. For the experiment above, let X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation.

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