Embibe Experts Solutions for Chapter: Probability, Exercise 1: GUJCET 2017

The probability that $A$ speaks truth is $\frac{4}{5},$ while this probability of $B$ is $\frac{3}{5}$. The probability of at least one of them is true when asked to speak on an event is ..........

What is the mean of $f\left(x\right)=3x+2$ where $x$ is a random variable with probability distribution

The probability distribution of a discrete random variable $X$ is given in the following table:

; $C>0$ then $C=$________.

The mean and standard deviation of random variable $X$ are $10$ and $5$ respectively, then $E{\left(\frac{X-15}{5}\right)}^2=$ _________.

The probability that an event $A$ occurs in a single trial of an experiment is $0.3.$ Six independent trials of the experiment are performed. What is the variance of probability distribution of occurrence of event $A?$

The probability function of a binomial distribution is $P\left(x\right)=\left(\begin{array}{l}6\\ x\end{array}\right)p^x{q}^{6-x},x=0,1,2,\dots ..,6.$ If $2P\left(2\right)=3P\left(3\right),$ then $p=$_______.