Engineering Mat...

Let P(E) denote the probability of the event E. If P(A) = \(\frac{3}{4}\) and P(B) = \(\frac{1}{2}\) and A and B are mutually exhaustive events then P(A’ ∪ B’) is equal to _____.

A unbiased coin is tossed three times and the outcome of the 1^st toss is head. The probability that a total of exactly two heads occur is ______

If A and B are two independent random variable having variance of 0.25 and 0.04 respectively the standard deviation of (2A + 5B) is

The probability of occurrence of an event A is \(\frac{1}{4}\) and the probability of occurrence of event B is \(\frac{1}{3}\). Considering the events are independent, the probability of A and B occurring simultaneously is \(\frac{\alpha }{\beta }\). The sum of α and β is _______

A pair of dice is thrown. Find the probability of obtaining a sum of 8 or getting an even number on both the dice.

A man speaks truth 2 out of 3 times He throws a dice and reports that the outcome is 6. The probability that it is actually a 6 is 

Let U₁ and U₂ be two urns such that U₁ contains 3 white and 2 red balls, and U₂ contains only 1 white ball A fair coin is tossed.

• If head appears then 1 ball is drawn at random from U₁ and put into U₂.
• If Tail appears then 2 balls are drawn at random from U₁ and put into U₂.

The equations of the two lines of regression are: 4x + 3y + 7 = 0 and 3x + 4y + 8 = 0. The correlation coefficient between x and y is

Find the median for the following statistical data