Thread: 2 Stupid Questions? Can anyone do these?

Dr Harve has found that 30 % of his clients have eye problems, 10 have hearing and 5 have both.. are an (eye problem and hearing problems) independent or dependent? why


T.O Leafs is playing Montreal in Stanley cup finals. team to win 4 first wins the cup. If the prob of T.O winning (1) game is .55 determine the prob that
a) T.O wins 4 straight
b) Montreal wins the cup ( In general)

Q.1
First I guess you mean 10% and 5% instead of 10 and 5, am I right?
If this is the case, we have , and
By definition, two events and are said to be independent if .
But here we have and , hence they are dependent.

Q.2
First part is easy, just wins 4 straight ;

The second part deserves a little analysis, there are 4 cases a team can win the cup: (1) the team wins the 4th game in the 4th game in the series (this is the case of 4 straight wins as we found in part one); (2) the team wins the 4th game in the 5th game in the series; (3) the team wins the 4th game in the 6th game in the series;(4) the team wins the 4th game in the 7th game in the series. We need to sum all the four probabilities for these 4 cases, the second, third and fourth cases are follow exactly the negative binomial probability distribution (Check a reference for detail), so the probability for T.O. Leaf to win the series can be written as:

where means the probability for case 2 above etc.




Thus the probability for Montreal to win will be .

Originally Posted by wikji

Dr Harve has found that 30 % of his clients have eye problems, 10 have hearing and 5 have both.. are an (eye problem and hearing
T.O Leafs is playing Montreal in Stanley cup finals. team to win 4 first wins the cup. If the prob of T.O winning (1) game is .55 determine the prob that
a) T.O wins 4 straight
b) Montreal wins the cup ( In general)

independant u don't c with ears and hear with eyes