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In: Statistics and Probability

6.) 75% of all Americans live in cities with population greater than 100,000 people. If 31...

6.) 75% of all Americans live in cities with population greater than 100,000 people. If 31 Americans are randomly selected, find the probability that

a. Exactly 24 of them live in cities with population greater than 100,000 people.
b. At most 23 of them live in cities with population greater than 100,000 people.
c. At least 24 of them live in cities with population greater than 100,000 people.
d. Between 22 and 26 (including 22 and 26) of them live in cities with population greater than 100,000 people.

7.)58% of all Americans are home owners. If 36 Americans are randomly selected, find the probability that

a. Exactly 21 of them are are home owners.
b. At most 22 of them are are home owners.
c. At least 21 of them are home owners.
d. Between 16 and 20 (including 16 and 20) of them are home owners.

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