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9. [-/0.22 Points] DETAILS BBUNDERSTAT12 5.3.015.MI.S. MY NOTES USA Today reported that about 20% of all people in the United States are illiterate. Suppose you

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9. [-/0.22 Points] DETAILS BBUNDERSTAT12 5.3.015.MI.S. MY NOTES USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eleven people at random off a city street. USE SALT (a) Make a histogram showing the probability distribution of the number of illiterate people out of the eleven people in the sample. 0.30 0.30 0.25 0.25 0.20 0.20 2 0.15 0.15 0.10 0.10 0.05 0.05 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 O 0.30 0.30 0.25 0.25 0.20 0.20 2 0.15 2 0.15 0.10 0.10 0.05 0.05 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 O (b) Find the mean and standard deviation of this probability distribution. (Round your standard deviation to two decimal places.) H = people 6 = people Find the expected number of people in this sample who are illiterate. people (c) How many people would you need to interview to be 97% sure that at least seven of these people can read and write (are not illiterate)? (Enter the smallest number of people needed to be at least 97% sure.) people

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