7. (20 points) A poll found that the average number of cups of coffee consumed p

Question

7. (20 points) A poll found that the average number of cups of coffee consumed per day is 1.6 cups. The following probability distribution was provided where x is the number of cups of coffee consumed per day. x 01234+ 4,1 x) 0.350.270.180.09 0.11 Using the statistics provided, answer the following. a) What percentage of Americans don't drink coffee? b) What percentage of Americans drink four or more cups of coffee per day? c) What percentage of Americans drink at least two cups of coffee per day? d) What percentage of Americans drink more than three cups of coffee per day? e) What percentage of Americans have just one cup of coffee per day?

Explanation / Answer

a)

P(American's don't drink coffee) = P(X = 0) = 0.35

So, percentage of American's don't drink coffee = 35%

b)

P(American's drink four or more cups of coffee per day) = P( X = 4+) = 0.11

Percentage of American's drink four or more cups of coffee per day = 11%

c)

p(American's drink at least two cups of coffee per day) =P( X >= 2)

= P( X = 2) + P( X = 3) + P( X = 4+)

= 0.18 + 0.09 + 0.11

= 0.38

Percentage of American's drink at least two cups of coffee = 38%

d)

P(Americans drink more than 3 cups of coffee per day) = P( X > 3)

= P( X = 4+)

= 0.11

Percentage of Americans drink more than 3 cups of coffee per day = 11%

e)

P( Americans have just one cup of coffee per day) = P( X = 1) = 0.27

Percentage of Americans have just one cup of coffee per day = 27%

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