Question 1) Write detail note on simple random sampling with replacement.
Question 2) Compute mean and median for the following data 15, 18, 13, 19, 20, 24.
Question 3) Daily profits (in Rs.) of 100 shops is distributed as follows.
Profit per shop: 0-50 50-100 100-150 150-200 200-250 250-300
No. of shops: 121827201706
Draw frequency polygon for this data.
Question 4) Write a note on Bernoulli distribution.
Question 5) In regression study, the two regression lines are:
2X – 3Y + 6 = 0 and
4Y – 5X – 8 = 0.
Compute correlation coefficient between X and Y. Also, find out the standard deviation of Y, if the standard deviation of X is 3.
Question 6) Find the rank correlation coefficient between the X and Y.
X: 50556550556050657075
Y: 110 110 115 125 140 115 130 120 115 160
Question 7) Write note on chance causes and assignable causes.
Question 8) Compute the standard deviation from the following frequency distribution.
Profit(Rs. Crores): 10-20 20-30 30-40 40-50 50-60
No. of Companies: 8 12 20 6 4
Question 9) Merits and demerits of median.
Question 10) Explain the test procedure of testing equality of two population mean if sample size is large.
Question 11) Find the probability that three cards drawn at random, without replacement from a well shuffled pack of 52 playing cards are all spades.