A man takes a step forward with probability 0.4 and backward with probability 0.6. Suppose the man takes 11 steps and p4 denotes the probability that the man is r steps away from his initial position, then value of
| Column-I | Column-II | | (A) p1 | (p) 0 | | (B) p3 | (q) 11C5 (0.24)5 | | (C) p0 | (r) (0.4)11 + (0.6)11 | | (D) p11 | (*) 11C4 (0.24)4 (0.28) | | | (t) 11 C6 (0.24)5 |
Correct option A → q,t; B → s; C → p; D → r
Explanation:
Let X = the number of steps taken in the forward direction, then X ~ B (n, p) with n = 11, p = 0.4.