List of top Mathematics Questions on Binomial Distribution

A coin is biased so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probability distribution of number of tails. Hence, find the mean of the distribution.
If in a binomial distribution n=4, P(X=0)=\(\frac{16}{81}\), then P(X = 4) equals :
The mean of Binomial distribution \(B(4,\frac13) \) is : 
In a Binominal distribution, The probability of getting success is \(\frac{1}{5}\) and standard deviation is 4. then its mean is
Match List I with List II
LIST I LIST II
A.In a binomial distribution, if n=10, q=0.25, then its mean isI.12
B.If the mean of a binomial distribution is 6 and its variance is 3, then p isII.7.5
C.In a binomial distribution, the probability of getting a success is 1/4 
and the standard distribution is 3, then its mean is		III.16
D.If the mean and variance of a binomial distribution are 4 and 3 respectively,
then the number of trials is		IV.½
Choose the correct answer from the options given below:
The mean and variance of a Binomial distribution are \(4\) and \(\frac43\) respectively, then the value of \(P(X\geq1)\) is:
In a binomial distribution, the probability of getting a success is \(\frac{1}{3}\) and the standard deviation is 4. Then its mean is :