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# Assignment No.10 Objective(s) of this Assignment: Assignment.

b) Two least square regression lines are given by

Y = 2.64 + 10.83 X
And
X = -1.91 + 6.18 Y
b) Indicate whether the following statement is true or false for three mutually exclusive events A, B and C. Justify your answer.

Assignment No.3 (Course STA301) Spring 2010 (Total Marks 30) Due date is 23 May plz send this assignment on 22.05.10 Objective(s) of this Assignment: The assignment is being uploaded to strengthen the student’s BASIC concepts regarding Regression and correlation. The assignment is being uploaded to build up the students’ concepts regarding probability. This assignment will strengthen the practical applications of probability, regression and correlation. Assignment.3 (Lessons 15-18) Question 1:   Marks: 3+3+4=10 a) For a particular data with five pair of values: 2 26, 10, 37 Y Y XY = = = The fitted line is y = -1+0.5x Find the standard error of estimate, yx s b) Two least square regression lines are given by Y = 2.64 + 10.83 X And X = -1.91 + 6.18 Y Are these lines possible for any data set? Explain your answer: c) Two dice are rolled. Make a sample space also find the probability that i. The sum of the outcomes is equal to 10. ii. The sum of the outcomes is equal to 7. iii. The sum of the outcomes is equal to 1. Question 2:                                                                                                                    Marks: 4+6=10 a) If S= {1, 2, 3, 4, 5, 6}, A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then verify whether A and B are independent?.
b) Indicate whether the following statement is true or false for three mutually exclusive events A, B and C. Justify your answer. 1 2 1 1 1 ( ) , ( ) ( ) 6 3 6 4 6 P A P B and P C = × = × = Question 3:                                                                                                                    Marks: 2+8=10 a) If we draw a card from an ordinary deck of 52 playing cards. Can king and diamond be mutually exclusive events? Give reason to support your answer. b) A marble is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles. Find the probability that the drawn marble is i. orange or red ii. not – ‘red or blue’ iii. not blue iv. red, white or blue.

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