Comment on the statement: “The mean of a binomial distribution is 4 and variance 5”.
The mean (\(\mu\)) and variance (\(\sigma^2\)) of a binomial distribution \( B(n, p) \) are given by: \[ \mu = np \] \[ \sigma^2 = np(1 - ___ _______ _______ _____ ________ ________ ______ ________ __________ _________ _________.
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A rain coat dealer can earn Rs 800 per day during a rainy day. If it is a dry day, he can lose Rs 150 per day. What is his expectation, if the probability of rain is 0.6?
A die is rolled. If the outcome is a number greater than 2, what is the probability that it is an odd prime number?
Comment on the statement: “The mean of a binomial distribution is 4 and variance 5”.
If the probability that an individual suffers a bad reaction from an injection of a given
serum is 0.002, determine the probability that out of 400 individuals
(i) exactly 2
(ii) more than 3
(iii) at least one
individuals suffer from bad reaction.
A person is known to hit the target in 3 out of 4 shots whereas another person is known to hit 2 out of 5 shots. Find the probability that the target being hit when they both try.
Let X and Y be two independent random variables such that and
. Find
The following table represents the joint probability distribution of the discrete random variable
| X | Y | 1 | 2 | 3 |
| 1 | 0.2 | 0.2 | 0.1 | |
| 2 | 0.1 | 0.3 | 0.1 | |