On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?
Let X denote the number of questions answered correctly by guessing in multiple choice examinations.
Probability of getting a correct answer by guessing, p=
Therefore, q, the probability of an incorrect answer by guessing = 1 -
There are in 5 questions in all.
So X follows binomial distribution with n = 5, p =
Find the Cartesian equation of the plane passing through the points A(0, 0, 0) and B(3, -1, 2) and parallel to the line
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are respectively, externally in the ratio 1:2. Also, show that P is the midpoint of the line segment R.
Find the particular solution of the differential equation satisfying the given conditions: x2 dy + (xy + y2 )dx = 0; y = 1 when x = 1.
Find the particular solution of the differential equation satisfying the given conditions:
, given that y = 1 when x= 0.