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Probability & Statistics - Binomial Distribution Video Lecture | Engineering Mathematics - Civil Engineering (CE)

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FAQs on Probability & Statistics - Binomial Distribution Video Lecture - Engineering Mathematics - Civil Engineering (CE)

1. What is the binomial distribution?
Ans. The binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success.
2. How is the binomial distribution different from other probability distributions?
Ans. The binomial distribution is different from other probability distributions because it is specifically used to model the number of successes in a fixed number of trials, while other distributions may model continuous variables or different types of events.
3. How do you calculate the mean and standard deviation of a binomial distribution?
Ans. To calculate the mean of a binomial distribution, you multiply the number of trials by the probability of success. The standard deviation is calculated by taking the square root of the product of the number of trials, the probability of success, and the probability of failure.
4. What are the conditions for using the binomial distribution?
Ans. The conditions for using the binomial distribution are: 1) each trial must be independent of the others, 2) there must be a fixed number of trials, 3) each trial must have the same probability of success, and 4) there are only two possible outcomes for each trial (success or failure).
5. Can the binomial distribution be used for continuous variables?
Ans. No, the binomial distribution is specifically used for discrete variables, where each trial can only have two possible outcomes. It cannot be used to model continuous variables, such as height or weight.
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