Problem 2

  1. 2-12 and Not equally likely since some sums are more likely, like 7

  2. 1-3 male or female and yes, equally likely since brth gender is completely random

  3. 1-4, yes equally likely since coin tosses are indenpendent

  4. 1-10 and no not equally likely since the longer the streak goes the smaller tha probability

Problem 11

  1. possible

  2. possible

  3. not possible sum > 1

  4. possible but not practicle

  5. not possible cant have negative probability

Problem 17

  1. 9/100 * 10/100 = 0.9%

  2. he assumes that each college will accept him based on the general percentage independtly

  3. this is foolish becuase colleges will look for the same things for acceptance, and therefore, will not be independent

Problem 19

  1. 17 + 7 + 4 = 28 100-28 = 72

72%

  1. 72+17 = 89%

  2. 28%

Problem 21

  1. 72/100 * 72/100 = 51.84%

  2. 28/100 * 28/100 = 7.84%

  3. 28%

Problem 23

  1. They must be independent events

  2. for the most part. Yet it’s possible the two could be related to how you care for your cars with gas quality, checkups, etc. In this case the chances wouldnt be independent.