Mathematics Tes...

If A and B are two mutually exclusive events, then P(A ∪ B) = ? 

What is the chance that a leap year selected at random will have 53 Wednesday’s?

If three unbiased coins are tossed, then the probabilities of getting at least two tails and at most two tails are

If \(\rm p(x)=\frac{kx}{3}, x=1,2,3\) is a Probability Mass Function of x, then k = ?

A and B are two events such that P(A) = 0.3 and P(A ∪ B) = 0.8. If A and B are independent, then p(B) is

A man speaks the truth 2 out of 3 times. He picks one of the natural numbers in the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even. The probability that it is actually even is

A and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36, then P(A) and P(B), respectively are

If a continuous random variable has the following probability density function

\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {2k{x^4},\;\;0 \le x \le 1,}\\ {0,\;\;otherwise;} \end{array}} \right.\)

The probability that a person  stopping at a gas station will ask to have his tyres checked is 0.12, the probability that he will ask to have his oil checked is 0.29 and the probability that he will ask to have them both checked is 0.07. The probability that a person who has his tyres checked will also have oil checked is

A random variable X has the distribution law as given below:

The variance of the distribution is: