Answer to Question #170157 in Statistics and Probability for Mashkoor Ahmad

Question

Q 01:Rolling Two Dice: If two dice are rolled one time, findthe probability of getting these results.

a. A sum of 6

b. Doubles

c. A sum of 7 or 11

d. A sum greater than 9

e. A sum less than or equal to 4

 

Q 02:Read the following study and answer the questions.

A baking company selected 36 women weighing different amounts and randomly assigned them

to four different groups. The four groups were white bread only, brown bread only, low-fat whitebread only, and low-fat brown bread only. Each group could eat only the type of bread assigned tothe group. The study lasted for eight weeks. No other changes in any of the women’s diets wereallowed. A trained evaluator was used to check for any differences in the women’s diets. The resultsshowed that there were no differences in weight gain between the groups over the eight-week period.

1. Did the researchers use a population or a sample for their study?

2. Based on who conducted this study, would you consider the study to be biased?

3. Which sampling method do you think was used to obtain the original 36 women for the

study (random, systematic, stratified, or clustered)?

4. Which sampling method would you use? Why?

5. How would you collect a random sample for this study?

6. Does random assignment help representativeness the same as random selection does? Explain.

Answer:

Q 03:Compute the consumer price index number for 2016 on the basis of 2010 from the following data, using (i) Aggregative Expenditure Method and (ii) the Household Budget Method.

                       

 

Commodity

Quantity consumed

in 2010 (Q_o)

Prices in 2010 (P_o)

Prices in 2016 (P_n)

Rice

Wheat

Sugar

Oil

96

240

300

200

50

25

40

70

100

40

65

160

                       

Answer:

Q 04: a)          A continuous r.v.X has the p.d.f. as follows:

                                               

                       Find the value of A.

   b)    Let X be a random variable with probability distribution

X

 -1               0               1               2                3

f(x)

0.125         0.50           0.20          0.05          0.125

                       

Find E(X).

Answer:

Q 05: a)          Let A, B and C be event (subsets) in a sample space S defined by

                                   

                       List the members of the following events:

(i)                    (ii)

b)                    Calculate the arithmetic mean, median and modal number of persons per house from the following data

No. of Persons per house (X)

1

2

3

4

5

6

7

8

9

10

No. of houses                  (f)

26

113

120

95

60

42

21

14

5

4

Answer 1

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