The random variable X has the following probability distribution:

X	1	2	3	4	5
P(X)	$\frac{1}{10}$	$\frac{1}{10}$	$\frac{1}{3}$	k	$\frac{1}{3}$

The correct value of k is:

If A, B and C are three independent events such that P(A)=P(B)=P(C)=x, then P(at least two of A, B, C occur) =

Mean and variance of a binomial distribution are 6 and 2 respectively. The probability of 2 successes will be

For a Binomial distribution, B(n,p), where p+q=1, the sum and product of mean and variance are 8 and 12 respectively, when the value of n is:

Three urns contain 6 red, 4 black; 4 red, 6 black and 5 red, 5 black marbles respectively. One of the urns is selected at random and a marble is drawn from it. If the marble drawn is red, then the probability that it is drawn from the first urn is

If A and B are two independent events such that P(A) = 1/3, $P(A\cup B) = 3/5$ and P(B) = p, then which of the following are true?

(A) The value of p is $\frac{2}{5}$

(B) $P(A\cap B) = \frac{2}{15}$

(C) $P(B/A) = \frac{1}{3}$

(D) $P(A/B) = \frac{3}{5}$

Choose the correct answer from the options given below:

A random variable X has the following probability distribution:

then, which of the following is correct?