CA Foundation Exam > CA Foundation Videos > Quantitative Aptitude for CA Foundation > Binomial Distribution
Binomial Distribution Video Lecture | Quantitative Aptitude for CA Foundation
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FAQs on Binomial Distribution Video Lecture - Quantitative Aptitude for CA Foundation
| 1. What is the binomial distribution? |  |
Ans. The binomial distribution is a 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. It is often used to model events that have two possible outcomes, such as flipping a coin or observing the success or failure of a product.
| 2. How is the binomial distribution different from the normal distribution? | |
Ans. The binomial distribution is discrete, meaning it deals with whole number values, while the normal distribution is continuous. The binomial distribution models the number of successes in a fixed number of trials, whereas the normal distribution models continuous data with no specific number of trials. Additionally, the shape of the binomial distribution depends on the probability of success and the number of trials, while the normal distribution has a symmetric bell-shaped curve.
| 3. How can the binomial distribution be applied in real-life situations? | |
Ans. The binomial distribution can be applied to various real-life situations. For example, it can be used to predict the probability of a certain number of defective items in a batch produced by a manufacturing company. It can also be used in genetics to calculate the likelihood of a specific number of offspring having a certain trait based on the probability of inheriting that trait.
| 4. What are the properties of the binomial distribution? | |
Ans. The properties of the binomial distribution include:
- Each trial is independent of the others.
- There are a fixed number of trials.
- Each trial has two possible outcomes (success or failure).
- The probability of success is constant for each trial.
- The random variable represents the count of successes.
| 5. How can the binomial distribution be calculated and represented mathematically? | |
Ans. The binomial distribution can be calculated using the formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where P(X = k) is the probability of getting exactly k successes, n is the number of trials, p is the probability of success in each trial, and (n choose k) represents the number of ways to choose k successes from n trials. The distribution can be represented mathematically using a probability mass function or a cumulative distribution function.
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Dec 22, 2024 Last updated |
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