A die is thrown 100 times. If the success is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let $X$ be the number of successes in $n = 100$ trials. This follows a binomial distribution $B(n, p)$.Here,the probability of getting an even num

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) Let $X$ be the number of successes in $n = 100$ trials. This follows a binomial distribution $B(n, p)$.Here,the probability of getting an even number in a single throw of a die is $p = \frac{3}{6} = \frac{1}{2}$.The probability of failure is $q = 1 - p = 1 - \frac{1}{2} = \frac{1}{2}$.The variance of a binomial distribution is given by the formula $	ext{Var}(X) = npq$.Substituting the values,we get $	ext{Var}(X) = 100 	imes \frac{1}{2} 	imes \frac{1}{2} = 100 	imes \frac{1}{4} = 25$.Therefore,the variance is $25$.

$A$ die is thrown $100$ times. If the success is defined as getting an even number,then the variance of the number of successes is:

Similar Questions

Let $X \sim B(6, 1/2)$. Then the maximum probability occurs at

At least how many times must a fair coin be tossed so that the probability of getting at least one head is at least $0.8$?

$A$ coin is tossed $7$ times. What is the probability that a person who calls 'heads' every time wins more often?

The mean of a binomial variate $X \sim B(n, p)$ is $1$. If $n > 2$ and $P(X=2)=\frac{27}{128}$, then the variance of the distribution is

The probability of getting a success in a trial is five times that of a failure. The probability of getting at most one success in $5$ trials is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module