Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values x, has the following form, where k is some unknown constant. `P(X=x)={{:(0.1, "if "x =0),(kx, "if "x = 1 or 2 ),(k(5-x), "if " x=3 or 4),(0,"otherwise"):}` (a) Find the value of k. (b) What is the probability that you study at least two hours ? Exactly two hours? At most two hours?
KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
Similar Questions
Explore conceptually related problems
The random variable X has a probability distribution P(X) of the following form, where k is some number : P(X)={{:(k, "if " x=0),(2k, "if " x=1),(3k, "if " x=2),(0, "otherwise"):} (a) Determine the value of k. (b) Find P (X lt 2), P (X le 2), P(X ge 2) .
The probability distribution of random variable X is as follows: Find value of k.
If x-1 is a factor of 4x^(3) + 3x^(2) - 4x + k , find the value of k.
If secxcos5x+1=0,"where "0ltxle(pi)/(2) , then find the value of x.
A random variable X takes the values 0,1,2,3,..., with probability P(X=x)=k(x+1)((1)/(5))^x , where k is a constant, then P(X=0) is.
If 2x-1 is a factor of 4x^(3) - 16x^(2) + 10x + k , find the value of k.
Find the values of k for each of the quadratic equations, so that they have two equal roots. kx(x-2)+6=0 (k ne 0)
The following is the probability distribution of a random vaiable X. The value of k is
Find the values of k so that the function f is continuous at the indicated point f(x) = {((1- cos (kx))/(x^(2))",","if " x ne 0),((1)/(2)",","if " x= 0):} at x= 0
If x = 2k + 1 and y = k is a solutions of the equation 5x + 3y - 7 = 0, find the value of k.
KUMAR PRAKASHAN-PROBABILITY-Practice Paper - 13 (Section - D (Answer the following questions))
