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Chapter 1. What is Statistics?1

Practice Final Questions for Statistics 225

Introduction To Probability Models

Material Covered: Chapters 1-7 of Workbook and Text This is a 2 hour final, worth 25% and marked out of 25 points. The total possible points awarded for each question is given in square brackets at the beginning of each question. Anything that can fit on two sides of an 8 1 2 by 11 inch piece of paper may be used as a reference during this quiz. A calculator may also be used. No other aids are permitted.

1. What is Statistics?

(a) One hundred and twenty (120) pea plants are selected at random and the number of pea pods produced per plant is measured (observed). From this group, an average number of pea pods per plant is computed. Match the columns:All of the items in the first column will be used up in the matching procedure; however, one item in the second column will be left unmatched. statistical terms pea pods example (a)value of variable (a)average number of pea pods per plant for 120 pea plants (b)variable (b)all pea plants (c)parameter (c)number of pea pods per plant for all pea plants (d)population (d)number of pea pods for a pea plant (e)sample (e)average number of pods per plant for all pea plants (f)statistic (f)120 (g)sample size (g)number of pea pods per plant for 120 pea plants (h)number of pea pods for a particular pea plant terms (a) (b) (c) (d) (e) (f) (g) pea pod example (b) Assume measurements for Ph levels in soil followexactlya normal relative fre- interval 3.6 to 6.4 (choose one). (i) 0.68 (ii) 0.78 (iii) 0.95 (iv) 0.99 (v) 0.995

Chapter 2. Probability2

2. Probability

(a) [1 point] Describe sample space associated with flipping a coin until either heads or tails occurs twice. Choose one. (i) (ii) (iii) (iv) (v) (b) [1 point] Number of four-digit numbers that can be formed from digits 1, 2 and

3, if each four-digit number must be odd is (choose one)

(i) 27
(ii) 35
(iii) 44
(iv) 54
(v) 67
(c) (i) 8 36
(ii) 9 36
(iii) 10 36
(iv) 11 36
(v) 13 36
(d) (i) 0.96 (ii) 0.97 (iii) 0.98 (iv) 0.99 (v) 1.00

Chapter 2. Probability3

(e) [1 point] A survey was conducted comparing age with number of visits per year to doctor. One person is chosen at random. age→ youth middle-aged elderly row totals visits

1 to 3

709535

200

4 to 8

13045030

610

9 to 11

903070

190
column totals

290575135

1000
Chance person is a youth, given s/he makes 4-8 visits is (choose closest one): (i) 0.112 (ii) 0.130 (iii) 0.183 (iv) 0.213 (v) 0 .303 (f) [1 point] Two tickets drawn at random without replacement from following box. 1 2 1 3 2 3 Probability first ticket is a "1" and second card is a "2" is (choose closest one) (i)

0.1333

(ii)

0.2163

(iii)

0.2566

(iv)

0.3777

(v)

0.4333

(g) [1 point] Urn A has 10 red and 9 blue marbles; urn B has 10 red and 10 blue marbles. A fair coin is tossed. If coin comes up heads, a marble from urn A is chosen, otherwise a marble from urn B is chosen. Chance coin is flipped heads given a red marble is chosen is (choose closest one) (i) 17 39
(ii) 18 39
(iii) 19 39
(iv) 20 39
(v) 21
39
Chapter 3. Discrete Random Variables and Their Probability Distributions4

3. Discrete Random Variables and Their Probability Distributions

(a) Darlene makes in a day is given by following probability distribution. 0 1 2 3 4 5 0.10 0.28 0.18 0.11 0.16 0.17 Expected number of sales she makes is (choose closest one): (i) 0.41 (ii) 1.45 (iii) 2.46 (iv) 3.45 (v) 3.76 (b) Darlene makes in a day is given by following probability distribution. 0 1 2 3 4 5 0.10 0.28 0.18 0.11 0.16 0.17 Standard deviation in number of sales she makes is (choose closest one): (i) 0.37 (ii) 0.40 (iii) 1.66 (iv) 2.75 (v) 3.76 (c) (i) 8 (ii) 16 (iii) 20 (iv) 24
(v) 32
Chapter 3. Discrete Random Variables and Their Probability Distributions5 (d) [1 point] On a multiple choice exam with 5 possible answers for each of 10 ques- tions, what is probability a student gets 8 or more correct answers just by guessing? Choose closest one. [Hint: binomial.] (i)

5.7926×10-5

(ii)

6.7926×10-5

(iii)

7.7926×10-5

(iv)

8.7926×10-5

(v)

9.7926×10-5

(e) [1 point] There is a 43% chance of making a basket on a free throw and each throw is independent of each other throw. What is expected number of throws to make first basket? Choose one. [Hint: geometric.] (i) 2.33 (ii) 4.65 (iii) 6.11 (iv) 8.39 (v) 10.42 (f) [1 point] There is a 95% chance of passing any exam. What is variance in number of attempts until third exam is passed? Choose closest one. [Hint: negative binomial.] (i) 0.146 (ii) 0.156 (iii) 0.166 (iv) 0.176 (v) 0.186 (g) [1 point] Eight journalists randomly picked from a pack of 240 of which 15 are also photographers. Chance 3 of 8 picked are photographers is (choose one) (i) 8 3)( 232
5) 240
8) (ii)( 15 3)( 225
5) 225
8) (iii)( 15 3)( 225
5) 240
8) (iv) 15 5)( 225
3) 240
8) (v)( 15 3)( 5 5) 15 8) Chapter 3. Discrete Random Variables and Their Probability Distributions6 (h) ond. What is probability at most 5 particles hit in one microsecond? Choose closest one. [Hint: poisson.] (i) 0.231 (ii) 0.254 (iii) 0.273 (iv) 0.293 (v) 0.301 (i) [1 point] Identify the moment generating function 4 1-3 4 (i) (ii) (iii) (iv) (v) (j) (i) 0.75 (ii) 0.80 (iii) 0.85 (iv) 0.90 (v) 0.95 Chapter 4. Continuous Variables and Their Probability Distributions7

4. Continuous Variables and Their Probability Distributions

(a)

0otherwise

(i) 47
50
(ii) 48
50
(iii) 49
50
(iv) 50
50
(v) does not exist (b) 1

0 otherwise

(i) 3 (ii) 9 (iii) 12 (iv) 15 (v) 18 (c) 1 18

0 otherwise

(i) 18 (ii) 15 (iii) 15 (iv) 18 (v) 18 Chapter 4. Continuous Variables and Their Probability Distributions8 (d) 18 (i) 0.61 (ii) 0.68 (iii) 0.73 (iv) 0.79 (v) 0.81 (e) 1 18

0 otherwise

(i) 3 (ii) 6 (iii) 9 (iv) 15 (v) 18 (f) 1 18

0 otherwise

(i) 23
(ii) 24
(iii) 25
(iv) 26
(v) 27
Chapter 4. Continuous Variables and Their Probability Distributions9 (g) 1 18

0 otherwise

(i) 1241
(ii) 1341
(iii) 1441
(iv) 1541
(v)quotesdbs_dbs20.pdfusesText_26