Problem 25

First test trail

00-33 Pass 34-99 Fail

Retests trails

00-71 pass 72-99 fail

Trail 1

sample(0:99,1)
## [1] 79

= 92 = Failed 1st test

sample(0:99,5)
## [1] 10 97 51 96 47

73 fail, 43 pass.

Trail 2

sample(0:99,1)
## [1] 6

= 19 = Passed 1st test

Trail 3

sample(0:99,1)
## [1] 57

= 29 = passed 1st test

Trail 4

sample(0:99,1)
## [1] 58

= 67 = failed 1st test

sample(0:99,5)
## [1] 31 78 95 57  0

57 passed.

Trail 5

sample(0:99,1)
## [1] 24

= 6 = passed 1st test

Trail 1 = 3 tries Trail 2 = 1 try Trail 3 = 1 try Trail 4 = 2 tries Trail 5 = 1 try

(3+1+1+2+1)/5
## [1] 1.6

Problem 28

0-43 = O donors 44-99 = other

sample(0:99,15)
##  [1] 59 70 98 77 91 13 71  6 41 23 57 34 99  0 42

Trail 1 = 3 Trail 2 = 9 Trail 3 = 8 Trail 4 = 4 Trail 5 = 4

Avergae amount of people to get 3 O donors:

(3+9+8+4+4)/5
## [1] 5.6

Problem 29

0-9 = $200 worth 10-19 = $100 worth 20-39 = $50 worth 40-99 = $20 worth

sample(0:99,20)
##  [1] 21 22 67 18 78 56 10  5 64 53 39 80 54 90 52 57 55 14 11 63

Trail 1

20+20+20+20+20+20+20+100+200+200
## [1] 640

10 winners

Trail 2

20+20+50+20+20+20+20+50+20+50+50+20+20+20+20+200
## [1] 620

16 winners

Trail 3

20+100+20+50+100+50+20+20+20+20+200
## [1] 620

11 winners

Trail 4

50+20+20+20+20+50+200+20+20+20+20+20+20
## [1] 500

13 winners

Trail 5

20+50+20+50+20+50+20+20+100+100+50
## [1] 500

11 winners

Average number of winners:

(10+11+13+11+16)/5
## [1] 12.2

Problem 36

0-54 overdog wins game 55-99 underdog wins game

sample(0:99,10)
##  [1] 96 94 65 97 48 80 58 37 14 93

U = underdog win O = overdog win Trail 1 = O Trail 2 = O Trail 3 = O Trail 4 = U Trail 5 = O

There is a 1/5 chance the Underdog will win the series.