List of top Engineering Mathematics Questions on Probability and Statistics asked in AP PGECET

If the mean and variance of a binomial variate are 12 & 4, then the distribution is _____

The variance for continuous probability function \(f(x) = x^2 e^{-x}\) when \(x \ge 0\) is

Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x) = 0.01 for \(0 \le X \le 100\). The mean is
Probability that a leap year has 53 Sundays is
Probability Density function $f(x)$ of a continuous random variable is given by $f(x) = ce^{-|x|}, -\infty<x<\infty$. If the total probability $\int_{-\infty}^{\infty} f(x) dx = 1$ then $c =$
A problem of statistics is given to three students A, B and C whose chances of solving are $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$ respectively. What is the probability that the problem will be solved?
The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with the probability 0.2 then $P(A) + P(B) = $?