5. Brett is off to college . There are 1000 additional new male students, and one of them will be randomly assigned to Share Brett's dorm room. He is hoping that it won't be someone who like s to party or who snores. Use the table below to answer the following questions:

Likes to Party (LP) Doesn't Like to Party (DP) Total

a) Find the missing cell.

Snores (S) 150 200 350

Doesn't Snore (DS) Total 250

550 750 650 1000

b) Find the probability that he get a roommate who: i) Likes to party and snores

ii) Likes to party or snores

iii) Likes to party, given roommate snores.

iv) Likes to party, given doesn't snore.

6. Distinguish between combination and permutation.