STA 301...........Last date is 09-05-2011

Assignment 2 (Lessons 12-18)

Question 1:                                                                        Marks: 2+2+4+2=10

1. By using five number summary, suggest the skewness of the data from the following information:

2. What is the usefulness of Pearson’s coefficient of skewness?
3. For a certain data,

Find moment ratios  and. Interpret your results also.

d.      Explain equally likely events with the help of an example.

Question 2:                                                                          Marks: 4+4+2=10 

a. For a particular data of 5 pair of values:

      The fitted regression line is:

Y= -1.5 + 0.5 x

Find the standard error of estimate (Sy.x); what doest it indicates?

2. Five yellow balls and four green balls, which are indistinguishable apart from color, are placed in a bag if six balls are taken from the bag; Find the probability of being three yellow and three green.
3.  If the equations of the least square regression lines are:

        Y= -1 + 0.5 x        And        X= -1.1 + 0.2 y

Find correlation coefficient ‘r’.

Question 3:                                                                                    Marks: 5+5=10

1.  

                    i.            How many different words (even meaningless) can be formed from the word “Component”?

                  ii.            How many distinct four-digit numbers can be performed from the following integers 2, 3,4,5,6 where each integer is used only once?

2. When a pair of dice is rolled, make the sample space and find the probability

i)                    Total of 5

ii)                  Total of 7?