A recent poll by the American Automobile Club found that 73.6% of those surveyed

Question

A recent poll by the American Automobile Club found that 73.6% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that   (Show how you get these either by formula or calculator) – Check out my notes for chapter 4 – last page

None will be worried about aggressive drivers on the road?

All will be worried about aggressive drivers on the road?

At least one will be worried about aggressive drivers on the road?

One will be worried about aggressive drivers on the road?

Two will be worried about aggressive drivers on the road?

At most two will be worried about aggressive drivers on the road?

This is my homework assignment this week and not sure if I am overthinking these questions or what. If you could help me out, it would be greatly appreciated. Also, if you could show your work so that I can understand how you came to each of these answers and why. I really appreciate it. Thanks

Explanation / Answer

The probability that none will be worried about aggressive drivers on the road is:

(1-0.736)^3=0.018

The probability that All will be worried about aggressive drivers on the road is:

0.736^3=0.398

The probability that One will be worried about aggressive drivers on the road is:

0.736+(1-0.736)^2

=0.80

The probability that 2 will be worried about aggressive drivers on the road is:

0.736^2*(1-0.736)

=0.143

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