Use for #4 - 9 : A recent study showed that 67% of adults in the US own their home. If three adults are selected at random, what is the probability that (Show how you get these either by formula or calculator )

4.) none own their own home?

5.) one owns their own home?

6.) all own their own home?

7.) two own their own home?

8.) at least one owns their own home?

9.) at most two own their own home?

10) Two cards are drawn from a standard deck of 52 cards and the first is not replaced before the second is drawn. Find the probability of getting

A.) A heart followed by another heart

B.) A spade followed by a diamond

11.) Seventy one percent of auto drivers carry a flashlight in their vehicles. For a random sample of 1975 drivers, (Show how you get these either by formula or calculator)

a.) What is the probability that exactly 1400 carry a flashlight in their vehicle?

b.) What is the probability that at most 1378 carry a flashlight in their vehicle?

c.) What is the probability that more than 1391 carry a flashlight in their vehicle?

d.) What is the mean value of the number of drivers that carry a flashlight in their vehicle?

e.) What is the standard deviation?