Embibe Experts Solutions for Chapter: Binomial Distribution, Exercise 1: Exercise 1

A die is thrown $100$ times, then the standard deviation of getting an even number is

The sum of the mean and variance of a binomial distribution is $15$ and the sum of their squares is $117.$ The mean of the distribution is 

If $X~B\left(8,\frac{1}{2}\right),$ then $P\left(|x-4|\le 2\right)=$

In a Binomial distribution, the mean is three times its variance. What is the probability of exactly $3$ successes out of $5$ trials ?

Seven unbiased coins are tossed $128$ times. In how many throws would you find at least three heads? 

What is the most probable number of successes in $10$ trials with probability of success $\frac{2}{3} ?$

A coin is tossed $5$ times. The probability that the tail appears an odd number of times is

In an examination, the probability of a candidate solving a question is $\frac{1}{2}.$ Out of given $5$ questions in the examination, what is the probability that the candidate was able to solve at least $2$ questions?