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12. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.3.013.S. MY NOTES ASK YOUR TEACHER A company is in the business of finding addresses of long-lost friends. The company

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12. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.3.013.S. MY NOTES ASK YOUR TEACHER A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose that you have the names of nine friends for whom you have no addresses and decide to use the company to track them. LA USE SALT (a) Make a histogram showing the probability of r = 0 to 9 friends for whom an address will be found. 0.25 0.25 0.2 0.2 0.15- 0.15- P (r) P (r) 0.1 0.1 0.05 0.05 0 1 2 3 4 5 6 7 8 9 O 0 1 2 3 4 5 6 7 O 0.25 0.3 0.2 P (r) 0.2- 0.15 P (r) 0.1 0.1- 0.05- O 2 3 6 7 8 9 (b) Find the mean and standard deviation of this probability distribution. What is the expected number of friends for whom addresses will be found? (Round your standard deviation to two decimal places.) L = friends J = friends (c) What is the smallest number of names would you have to submit to be at least 96% sure that at least two addresses will be found? (Enter your answer as a whole number.) names

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