Probability Answer any four objectives Any two of the others congeries number 40 Objectives 2 x 4 Others 2 (8 + 8) Objectives 2005 1. repair the bell shape Population & Sample. 2. name the median and mode of the succeeding(prenominal) numbers: 25, 26, 31, 31, 35,42, 31,46 3. Three coins atomic number 18 tossed simultaneously, point out the probability of acquire three heads. 4. Show that for a frequency distribution Xi/fi ; i = 1, 2, n ( (i = 1 to n) fi (xi x)=0 5. condition Cov (x,y) = 4/5; (x =1, (y = 6/5 find (xy 6. habituated arithmetic pie-eyed atomic number 18 10 and median is 10. image mode. 7. Prove that P(A) + P(A¯ ) = 1 17a) find the retrieve and standard aberrancy from the followers frequency distribution |Wt (in kgs) |120-124 |125-129 |130-134 |135-139 |140-144 |145-149 | |No of Boys |12 |25 |28 |15 |12 |8 | b) A bivariate sample of coat 11 gave the results x¯ = 7, Sx = 2, y¯ = 9, Sy = 4 & r =0.5 It was later on found that one conquer (x=7, y=9) was inaccurate and was rejected. How would the archetype value of r be affected by this rejection? 18a) find the multivariates x & y, the equations of regression of y on x & x on y each are 4x 5y + 33 = 0 and 20x 9y = 107. What is the correlation co good?
If variance of x is 9 find the standard conflict of y. b) (i) Distribution of a ergodic variable star x are given below: |x |4 |6 |7 |10 | |Probability |0.2 |0.4 |0.3 |0.1 | attend the expectation of random variable x. b)(ii) Prove that Var (5 X + 7) =25 Var X 19a) narrow Conditional probability. For any two events A and B, prove that P(A U B) = P(A) + P(B) ...If you want to get a full essay, order it on our website:
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