AIML 5th Maths PDF Past Paper 2023-2024

CS/B.TECH(N)/ODD/SEM-5/5934/2023-2024/I019 MAULANA ABUL KALAM AZAD UNIVERSITY OF TECHNOLOGY, WEST BENGAL Paper Code : PCCAIDS501/PCCAIML 501 Probability and Statistics...

CS/B.TECH(N)/ODD/SEM-5/5934/2023-2024/I019 MAULANA ABUL KALAM AZAD UNIVERSITY OF TECHNOLOGY, WEST BENGAL Paper Code : PCCAIDS501/PCCAIML 501 Probability and Statistics UPID : 005934 Time Allotted : 3 Hours Full Marks :70 The Figures in the margin indicate full marks. Candidate are required to give their answers in their own words as far as practicable Group-A (Very Short Answer Type Question) 1. Answer any ten of the following : [ 1 x 10 = 10 ] (I) Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17. a) 13, 6 b) 13, 15 c) 18, 15 d) 15, 16 (II) A particular solution for an equation is derived by eliminating arbitrary constants. a) True b) False (III) Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind. Find the total probability of colour blind people. (Assume that both men and women are in equal numbers.) a) 0.45 b) 0.045 c) 0.05 d) 0.5 (IV) The probability that at least one of the events M and N occur is 0.6. If M and N have probability of occurring together as 0.2, then P(M) + P(N) is? a) 0.4 b) 1.2 c) 0.8 d) Indeterminate (V) Under ideal assumptions, what is the two-dimensional heat equation? a) ut= c∇2u = c(uxx + uyy) b) ut = c2 uxx c) ut = c2 ∇2 u = c2 (uxx + uyy) d) ut = ∇2 u = (uxx + uyy) (VI) If the standard deviation of a population is 50 and the sample size is 16 then the standard deviation of the sampling distribution is ____. a) 11.25 b) 12.25 c) 13.25 d) 14.25 (VII) Find the mean of a random variable X if f(x) = x – 5⁄2 for 0