In a population of interest, we know that, 77% drink coffee, and 23% drink tea. Assume...

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In a population of interest, we know that, 77% drink coffee, and23% drink tea. Assume that drinking coffee and tea are disjointevents in this population. We also know coffee drinkers have a 30%chance of smoking. There is a 13% chance of smoking for those whodrink tea.

  1. Five individuals are randomly chosen from this population. Whatis the probability that four of them drink coffee?

  2. Five individuals are randomly chosen from this population. Whatis the probability that the first four drink coffee and the lastone drinks tea?

  3. Five individuals are randomly chosen from this population. Whatis the expected number (population mean) of coffee drinkers?

  4. Five individuals are randomly chosen from this population. Findthe standard deviation for the number of coffee drinkers.

  5. A person is randomly chosen from this population. What is theprobability that the person smokes?

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