Jaypee Institute of Information Technology (JIIT) 2008 B.E test 3: probability & statistics - Question Paper

JAYPEE UNIVERSITY OF INFORMATION TECHNOLOGY. WAKNAGHAT TEST - 3 (November 2008)

SEMESTER: III (8. TECH. (BI/BT/BTDO))

COURSE CODE: 07B31MA104    MAX TIME: 1HR 30 MIN

COURSE NAME: Probability and Statistics

COURSE CREDITS: 4_MAX MARKS: 30_

NOTE: All questions are compulsory. Use of calculator ts allowed.

1) Box 1 contains 1 white. 2 red. 3 green Dalis, box II contains 2 white. 3 red. 1 green baits, box III contains 3 white 1 red 2 green balls Two bass are drawn from a box chosen at random They are found to be one white and other red Compare the probabilities that the balls so drawn came from box I. box II and box III.    (5)

(2) (a) Assume that 4% of the population over 65 years old has Alzheimer disease Suppose a random sample of 3500 people over 65 is taken Find the probability that fewer than 150 of them have the disease Given that P<0 < Z < 0.86) s 0.3031. where Z is a standard normal variable (3)

(b) Find the variance and standard deviation of Poisson distnbution (3)

{3) <a) Mice with an average life span of 32 months will live up to 40 months when fed by certain nut/itious food If 64 mice fed on this diet, have an average life span of 36 months and standard deviation of 5 8 months, is there any reason to believe that average kfe span is (ess than 40 months? Given thatP(Z<-2.33) =0.01, where Z is a standard normal variable (3)

(b) From the following table regarding the colors of eyes of fathers and sons, test if the color of son's eyes is associated with me color of the fathers eyes

Critical value of X* at 5% level and for I d f. is 3 841.    (3)