The probability that a person will develop immunity after vaccination is $0.8$. If $8$ people are given the vaccine,then the probability that all develop immunity is equal to:

$A$ lot of $100$ bulbs contains $10$ defective bulbs. Five bulbs are selected at random from the lot and are sent to a retail store. Then the probability that the store will receive at most one defective bulb is

$A$ multiple-choice examination consists of $5$ questions. Each question has $3$ alternative answers,of which only $1$ is correct. What is the probability that a student will get $4$ or more correct answers?

The variance of binomial distribution with variables $n=5, p=0.30$ is . . . . . . .

For a Binomial variate $X$,the mean is $2$ and the variance is $1$. Then,the odds in favor of $X=0$ are:

An objective type test paper has $5$ questions. Out of these $5$ questions,$3$ questions have four options each $(a, b, c, d)$ with one option being the correct answer. The other $2$ questions have two options each,namely true and false. $A$ candidate randomly ticks the options. Then,the probability that he/she will tick the correct option in at least four questions,is