Bernoulli Trials and Binomial Distribution

Probability distribution is classified as normal if expected return lies between

Range of probability distribution with 95.46% lies within

The probability that an event $A$ happens in one trial of an experiment is $0.4$ . Three independent trials of the experiment are performed. The probability that the event $A$ happens at least once is

If $x$ is binomial variate with parameter $15$ and $1/3$ what is the value of mode of the distribution

If $X$ is a binomial variate with $p=\frac{1}{3}$, for the experiment of $90$ trials, then the standard deviation is equal to

If the probability of success in a binomial distribution is less than one – half, then the binomial distribution _____.

If for a binomial distribution $B\left(n, p\right); n=4$ and also $P\left(x=2\right)=3 P\left(x=3\right)$, then the value of $p$ is equal to

There are $n$ objects and the probability for any of them to be of a particular colour is $p$. What is the probability that $x$ randomly selected objects will be of that colour?

Five cards are drawn successively, with replacement, from a well-shuffled deck of $52$ cards. The probability that only $3$ cards are spades is

There are $4\%$ defective items in a large bulk of items. What is the probability that a sample of $15$ items will not include more than one defective item?

A bag contains $11$ balls numbered from $1$ to $11$. Suppose an odd number is considered as a 'success'. If two balls are drawn with replacement from the bag. then the probability of getting exactly one success is

A fair $6$-sided die, with $4$ yellow faces and $2$ red faces, is tossed three times and the colour of the top face is noted. Let $Y$ be the number of times the top face is yellow. If $m$ is the mean of $Y,$ and $v$ its variance, then

Consider a random variable $X$ taking values $0, 1, 2, \dots ,n.$ If $k$ is a constant such that $P(X=x)={}^{n}C_x·k$ for $0\le x\le n,$ then $k=$

In Binomial Distribution

When $p=0.1$ the binomial distribution is skewed to the

Variance of Binomial distribution is

Mean of Binomial distribution is

When ' $p$ ' is larger than $0.5$, the binomial distribution is

When $p=0.5$, the binomial distribution is

In Binomial Distribution ' $p$ ' denotes Probability of