Ques.1 i. Define Binomial, Poisson and Normal distribution.

  ii. Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting

a. all the four cards of the same suit

b. all the four cards of the same number

c. one card from each suit

d. two red cards and two black cards

e. all cards of the same colour

f. all face cards

Ques.2   The following table gives the aptitude test scores and productivity indices of 10 workers selected at random:

Aptitude scores(X) 60 62 65 70 72 48 53 73 65 82

Productivity index(Y) 68 60 62 80 85 40 52 62 60 81

Calculate the two regression equations and estimate

1. The productivity index of a worker whose test score is 92
2. The test score of a worker whose productivity index is 75

Ques.3 Discuss the different components of a time series and fit a trend line with the help of following data by using Free hand curve method and Semi-averages method:

Year 1993 94 95 96 97 98 99 2000 01 02 03 04

Profit 10 12 16 8 6 14 15 10 14 20 13 18

(Rs. in lakhs)

Case Study

The marks obtained by seven students in Statistics and Accountancy are as follows:

Age(X)  56 42 36 47 49 42 60 72 63 55

Blood 147 125 118 128 145 140 155 160   149 150

Pressure(Y)

1. Given the form of the scattered diagram, does it appear that a straight line provides an accurate

  model for the data?

1. Find the correlation coefficient between Age(X) and Blood Pressure(Y) and discuss its nature.
2. Find the two lines of regression.
3. Estimate the blood pressure of a woman whose age is 45