1.Here are some unrelated questions.In answering these questions be sure to provide your supporting work.

a.I like jeeps.I think it is because they can become convertibles and besides that, I'd look cool in one, I mean, doesn't everyone?When driving on the 401, I see about one every 10 minutes because about one in 30 cars is a Jeep.

i.It takes 2.5 hrs to drive to Toronto.What is the probability that I will see more than 20 jeeps on the trip?

ii.If see 200 cars on the way back, what is the probability that more than 20 are Jeeps?

b.There are 100 pieces of string in my pocket.Each one is between 10 and 20 cm long.If I pull out 30 at random and lay them end to end, what is the probability that the resulting length of string would be more than 480 cm long?

c.When I was young, my brother claimed to be psychic.He claimed he could correctly identify a coin toss more often than he should.We tested this with 30 tosses, of which he guessed correctly 20 times.Is this good evidence?