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course Mth 151

sorry so late

ꎬ×ÈSÊé³Së[·h»Õ‘¯è·á®ïùassignment #007

007. `query 7

Liberal Arts Mathematics II

03-29-2008

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13:03:50

`questionNumber 70000

12.2.6 single die, p(odd or <5).

What is the probability of getting an odd result or a result < 5?

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RESPONSE -->

3 poss. outcomes

4 outcomes less than 5, whichwould add up to 7 out comes.

3+4-2=5

5/6

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13:06:29

`questionNumber 70000

Query 12.2.15 drawing neither heart nor 7 from full deck

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RESPONSE -->

There are 52 cards in a deck, 39 arent hearts. There are 4 sevens, 3 of them arent hearts.. this means that 36 arent sevens or hearts. 36/52=9/13

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13:10:21

`questionNumber 70000

12.2.24 prob of black flush or two pairs

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RESPONSE -->

c(13,5)= 1287 ways for a flush 2* 1287=2574 poss. black fluxhes

There is 123,552 ways to get 2 pairs.

123,552 +2574= 126,126 ways to get one or the other.

123,552/ 2,598,960=.0485

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13:20:07

`questionNumber 70000

12.2.33 x is sum of 2-digit numbers from {1, 2, ..., 5}; prob dist for random vbl x

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RESPONSE -->

there are 10 poss. combs. the sums 3,4,8,9 can occur only once each 1/10. the sums 5,6,7 can occur twice each 2/10

3 .1

4 .1

5 .2

6 .2

7 .2

8 .1

9 .1

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13:21:53

`questionNumber 70000

Query 12.2.36 n(A)=a, n(S) = s; P(A')=?

What is the P(A')?

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RESPONSE -->

(A') is everything which isnt A

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13:23:11

`questionNumber 70000

Query 12.2.42 spinners with 1-4 and 8-10; prob product is even

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RESPONSE -->

4*3=12 poss

10/12 poss outcomes

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assignment #008

008. `query 8

Liberal Arts Mathematics II

03-29-2008

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13:26:40

`questionNumber 80000

Query 12.3.6 two members chosen for committee, Republican or no. Are the two choices independent or dependent and why?

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RESPONSE -->

The 1st is a republican

and the 2nd is independent, bc you would pick 1 from each

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13:29:07

`questionNumber 80000

Query 12.3.12 table of motivations by male, female

What is the probability that an individual will be primarily motivated by money or creativity given that the individual is female?

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RESPONSE -->

There are 13 motivatied by money and 14 by creativity.

13=14=27

There are 66 total women

27/66= 9/22 =.41

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13:32:26

`questionNumber 80000

Query 12.3.24 prob of club 2d given diamond first What is the desired probability and how did you obtain it?

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RESPONSE -->

13/52 total cards

13/51

(13/52 * 13/51)/ (13/52)= 13/51

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13:33:29

`questionNumber 80000

Query 12.3.32 prob of diamond given red What is the probability of getting a diamond given that the card is red?

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RESPONSE -->

there are 26 red cards, and 13 diamonds

13/26=1/2

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13:35:18

`questionNumber 80000

Query 12.3.36 P(sale > $100) = .8; prob that first three sales all >$100 What is the probability that the first three sales are all for > $100 and how did you obtain your result?

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RESPONSE -->

The 1st sale is >100

2nd sale is >100

3rd sale is > 100

.8*.8*.8=512

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13:37:39

`questionNumber 80000

Query 12.3.42 P(critical direction) = .05; prob that none of the 5 scheduled days for launches has cloud movement in critical direction

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RESPONSE -->

1-.05=.95

.95*.95*.95*.95*.95=.774

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13:41:06

`questionNumber 80000

Query 12.3.54 probability of heads .52, tails .48; P(ht)

What is the probability of head then tails?

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RESPONSE -->

IF the poss is .52 ways to get heads,and .48 poss to get tails. .52* .48=.2496 of getting heads then tails.

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13:42:29

`questionNumber 80000

Query 12.3.66 for given day P(rain)=.5, P(rain | rain day before) = .8, P(rain | no rain day before ) = .3. find P(rain on 3 consecutive days). For first 4 days in November what is the probability that it will rain on all four days given Oct 31 is clear?

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RESPONSE -->

.3*.8*.8*.8=.154

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13:43:32

`questionNumber 80000

Query 12.3.66 for given day P(rain)=.5, P(rain | rain day before) = .8, P(rain | no rain day before ) = .3.

What is P(rain on 3 consecutive days).

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RESPONSE -->

.5*.8*.8= .32

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You haven't included given solutions, but appear to understand most of these problems.