A die is tossed thrice. A success is defined | vedclass

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

Question

(A) For a binomial distribution,the mean is given by $\mu = np$ and the variance is given by $\sigma^2 = npq$.Here,the number of trials $n = 3$.The pr

Vedclass · Accepted Answer

$\mu = 1, \sigma^2 = \frac{2}{3}$

Vedclass · Answer

(A) For a binomial distribution,the mean is given by $\mu = np$ and the variance is given by $\sigma^2 = npq$.Here,the number of trials $n = 3$.The probability of success $p$ (getting $1$ or $6$) is $p = \frac{2}{6} = \frac{1}{3}$.The probability of failure $q = 1 - p = 1 - \frac{1}{3} = \frac{2}{3}$.Calculating the mean:$\mu = np = 3 	imes \frac{1}{3} = 1$.Calculating the variance:$\sigma^2 = npq = 3 	imes \frac{1}{3} 	imes \frac{2}{3} = \frac{2}{3}$.Thus,the mean is $1$ and the variance is $\frac{2}{3}$.

$A$ die is tossed thrice. $A$ success is defined as getting $1$ or $6$ on a toss. Find the mean and the variance of the number of successes.

Similar Questions

$A$ dice is thrown two times. If getting an odd number is considered a success,then the probability of two successes is

Find the binomial probability distribution whose mean is $3$ and variance is $2$.

For an entry to a certain course,a candidate is given $20$ problems to solve. If the probability that the candidate can solve any problem is $\frac{3}{7}$,then the probability that he is unable to solve at most $2$ problems is

The probability that event $A$ happens in a trial is $0.4$. If three independent trials are made, then the probability that $A$ happens at least once is.......

Vedclass Test Series

Exam Paper Generator

Online Exam Module