Title MP DPP Sheet 29.pdf ✅

2 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 7. The probability that the value of ‘x’ will be atleast ‘5’, will be (a) 9/49 (b) 16/49 (c) 24/49 (d) 25/49 Common Data for Q.8 to Q.9 Suppose an probability distribution is defined as   1 f x x n for 1,2,3..... n   8. The mean of the distribution will be (a) 1 2 n  (b) 2 n (c) 1 2 n  (d) 1 2 n  9. The variance of the distribution will be (a) 2 1 12 n  (b) 2 1 12 n  (c) 2 1 6 n  (d) 2 1 6 n  10. A dice is tossed once. If the random variable X is defined as 1 if the die results in an even number 0 if the die results in an odd number x     The mean of the probability distribution will be (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3 Common Data for Q.11 to Q.12 Suppose, ‘x’ is a continuos random varible with probability density function given by         for 0 2 2 for 2 4 6 for 4 6 f x kx x k x kx k x            11. The value of ‘k’ will be (a) 1/8 (b) 1/6 (c) 1/2 (d) 4/3 12. The mean value of the random variable ‘x’ will be (a) 3/2 (b) 3 (c) 5/3 (d) 7/4 Common Data for Q.13 to Q.15 The probability density function of a continuous random variable is given as     x f x Ke x       13. The mean of the distribution is (a) 0 (b) 1/2 (c) 1 (d) 3/2 14. The variance of the distribution is (a) 1/2 (b) 1 (c) 3/2 (d) 2