TS ICET 2015
For the following questions answer them individually
For $$n \geq 1$$, let $$a_n = k$$ where k is the remainder when n is divided by 5. Then the mode of the observations $$a_1, a_3, a_8, a_{12}, a_{13}, a_{17}, a_{23}$$ is
If $$\sigma^2$$ is the variance of $$x_1, x_2, ........, x_n$$ then $$9 \sigma^2$$ is the variance of
A ball is drawn at random from a bag containing 5 green, 6 black and 7 white balls, all of identical size. The probability that the chosen ball is either green or black is
Three numbers are chosen at random fromthe set {1, 2, 3, ..., 8}. The probability that they are consecutive numbers is
The probability that a number chosen at random from {1, 2, 3, 4, .... 14} is a prime number solution of the equation f(x) = 0 where $$f(x) = (x - 2) (x^2 - 9) (x - 6) (x - 8)$$ is
If A and B are events such that $$P(A) = \alpha, P(B) = \beta$$ and $$P(A \cap B) = \gamma$$, then $$P(\overline{A} \cup B) =$$
