Mathematics Homework Help

5. In the box of chocolates example in which you eat the first chocolate you pick, the successive chocolate picks are

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randomized.

independent.

related.

dependent.

unrelated

6. In the pool example, we concluded that events DF and IC are dependent events because

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IC causes pool filters to get dirty faster.

we found that P(IC | DF) was different from P(IC).

a pool can have both IC and DF.

a pool can have DF and not have IC.

8.The confusion of the inverse is:

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confusing P(A) with P(not A)

confusing P(A | B) with P(B | A)

confusing P(A or B) with P(A and B)

confusing P(A) with P(B | A)

9.If “6ft+” stands for a human height of at least 6 feet, then P(6ft+ | man) is the probability

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of being a man but not one who is 6ft+ tall.

of being a man if the person is 6ft+ tall.

of being 6ft+ tall but not a man.

of being neither a man nor 6ft+ tall.

of being a man and being 6ft+ tall.

of being 6ft+ tall if the person is a man.

10. If “6ft+” stands for a human height of at least 6 feet, then we can see from the distribution of adult heights shown in the videos that

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P(man | 6ft+) = 1 – P(6ft+ | man)

P(man | 6ft+) < P(6ft+ | man)

P(man | 6ft+) > P(6ft+ | man)

P(man | 6ft+) = P(6ft+ | man)