In a city, about 60% of all residents have received a COVID-19 vaccine. Suppose that a random sample of 18 residents is selected. Part A Calculate the probability that exactly 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part B Calculate the probability that at most 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part C Calculate the probability that at least 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part D Calculate the expected number of residents who have received a COVID-19 vaccine in the sample. (Round the expected value to 4 decimal places if possible) Part E Calculate the standard deviation of the number of residents who have received a COVID-19 vaccine. (Round the standard deviation to 4 decimal places if possible)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a city, about 60% of all residents have received a COVID-19 vaccine. Suppose that a random sample of 18 residents is selected. Part A Calculate the probability that exactly 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part B Calculate the probability that at most 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part C Calculate the probability that at least 9 residents have received a COVID-19 vaccine in the sample. (Round the probabilities to 4 decimal places if possible) Part D Calculate the expected number of residents who have received a COVID-19 vaccine in the sample. (Round the expected value to 4 decimal places if possible) Part E Calculate the standard deviation of the number of residents who have received a COVID-19 vaccine. (Round the standard deviation to 4 decimal places if possible)

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