Probability Question no. 16 The mean and variance of a binomial distribution are 4 and 3 respectively , then he probability of getting six successes in this distribution , is looks_one looks_two looks_3 looks_4 Answer Option looks_two Solution Solution : np = 4 ....[1] npq = 3 ....[2] divide [2] by [1] q = 3/4 p + q = 1 p = 1/4 n*(1/4) = 4 n = 16 P(six success) = 16 C 6 (1/4) 6 (3/4) 10 Question no. 17 A coin is tossed 10 time. The probability of getting exactly six heads is looks_one looks_two looks_3 looks_4 none of these Answer Option looks_two Solution Solution : n=10 p = q = 1/2 Probability of getting exactly six heads = 10 C 6 (1/2) 6 (1/2) 4 = 105/512 Question no. 18 A five digit number is written down at random. The probability that the number is divisible by 5 and no two consecutive digits are identical, is looks_one looks_two looks_3 looks_4 No...

Continuity , differentiability Question no. 1 What is equal to ? looks_one 0 looks_two 1 looks_3 1/2 looks_4 limit does not exist Answer Option looks_3 0 Solution Solution : Question no. 2 Which one of the following is correct in respect pf the function f(x)= |x| + x 2 looks_one f(x) is not continuous at x =0 looks_two f(x) is differentiable at x =0 looks_3 f(x) is continuous but not differentiable at x = 0 looks_4 None of these Answer Option looks_3 f(x) is continuous but not differentiable at x = 0 Solution Solution : f(x)= |x| + x 2 Continuity : So is is continuous at x = 0 Differentiability : Question no. 3 What is the set of all points , where the function is differentiable looks_one (-∞, ∞) only looks_two (0, ∞) only looks_3 (-∞,0) ∪ (0, ∞) only looks_4 (-∞,0) only Answer Option looks_3 5: 7 Sol...