text 124 125

009. `Query 9

Liberal Arts Mathematics II

03-29-2008

......!!!!!!!!...................................

17:43:52

`questionNumber 90000

Query 12.4.3 P(2 H on 3 flips)

......!!!!!!!!...................................

RESPONSE -->

hhh,

hht,

hth,

htt,

thh,

tht,

tth,

ttt,

8 poss, there fore the ans is 3/8

.................................................

......!!!!!!!!...................................

17:44:35

`questionNumber 90000

What is the significance of .5^2 * .5 for this question?

......!!!!!!!!...................................

RESPONSE -->

?

.................................................

......!!!!!!!!...................................

17:46:48

`questionNumber 90000

Query 12.4.6 P(>= 1 H on 3 flips) Give the requested probability and explain how you obtained your result.

......!!!!!!!!...................................

RESPONSE -->

TTT= .5*.5*.5=.125= 1/8

.................................................

......!!!!!!!!...................................

17:48:48

`questionNumber 90000

Query 12.4.15 P(3 H on 7 flips) Give the requested probability and explain how you obtained your result.

......!!!!!!!!...................................

RESPONSE -->

(7,3)= 7*6*5 /3=35 WAYS

.................................................

......!!!!!!!!...................................

17:52:20

`questionNumber 90000

Query 12.4.21 P(1 success in 3 tries), success = 4 on fair die

......!!!!!!!!...................................

RESPONSE -->

PROB. OF SUCCESS IS 1/6, AND THE FAILURE IS 5/6. 3 SUCESS

1/6 *5/6^2

(3,1)*1/6* (5/6)^2= 4*1/6 *25/36 = 100/216 =25/75

.................................................

......!!!!!!!!...................................

17:55:12

`questionNumber 90000

Query 12.4.39 P(more than 2 side effect on 8 patients), prob of side effect .3 for each

......!!!!!!!!...................................

RESPONSE -->

(8,0)*.7^8

(8,1) * .7^7 *.3^1

(8^2) *.7^6 *.3^2

.................................................

......!!!!!!!!...................................

17:56:42

`questionNumber 90000

Query 12.4.48 P(4 th child is 1 st daughter) What is the probability that the fourth child is the first daughter and how did you obtain your result?

......!!!!!!!!...................................

RESPONSE -->

S=.5

D=.5

SSSD

.5^3 *.5 =.0625

.................................................

......!!!!!!!!...................................

17:59:51

`questionNumber 90000

Query 12.4.54 10-step rnd walk, 1 dim; P(6 South) What is the probability of ending up 6 blocks South of the starting point and how did you obtain it?

......!!!!!!!!...................................

RESPONSE -->

8 STEPS SOUTH& 2 STEPS NORTH= 10 STEPS

(10,8)

(1/2)^ 8* (1/2) ^2= 1/2^10= 1/1024

C(10,8) * (1/2)^8 * (1/2)^2 =45 *(1/2)^10 = 45/1024

.................................................

......!!!!!!!!...................................

18:00:51

`questionNumber 90000

Query Add comments on any surprises or insights you experienced as a result of this assignment.

......!!!!!!!!...................................

RESPONSE -->

I HAD SOME PRBS GETTING THROUGH THESE

.................................................

�������i������v���

assignment #010

010. `Query 10

Liberal Arts Mathematics II

03-29-2008

......!!!!!!!!...................................

18:06:25

`questionNumber 100000

Query 12.5.6 fair dice game pays $3 for 6, $2 for 5, $1 for 4. What is a fair price to pay for playing this game?

......!!!!!!!!...................................

RESPONSE -->

1 in 6 for $3 is 1/6 *$3= .50

1 in6 for $2 is 1/6 * $2= .33

1 in 6 for $1 is 1/6 *$1= .16

$1 * 1/6 + $2 * 1/6 + $3* 1/6= $1

there fore the fair price would be $1

.................................................

......!!!!!!!!...................................

18:09:22

`questionNumber 100000

Query 12.5.10 expectation Roulette $1 bet 18 red, 18 black one zero

What is the expected net value of a bet on red?

......!!!!!!!!...................................

RESPONSE -->

18/37 * (+1) + 19/37 * (-1) = $.027

.................................................

......!!!!!!!!...................................

18:10:23

`questionNumber 100000

Query Add comments on any surprises or insights you experienced as a result of this assignment.

......!!!!!!!!...................................

RESPONSE -->

need to review!

.................................................

Do review. You are still welcome to submit questions, given solutions and self-critiques, to which I would be glad to respond.