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The binomial distribution n=9 and p=1/3. what is the value of variance?
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The binomial distribution n=9 and p=1/3. what is the value of variance...
Binomial Distribution with n=9 and p=1/3
Definition of Binomial Distribution
Binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, with a constant probability of success. Each trial is either a success or a failure, and the probability of success is denoted by p.
Calculating Variance of Binomial Distribution
The variance of a binomial distribution can be calculated using the formula:
Var(X) = np(1-p)
Where:
- X = number of successes
- n = number of trials
- p = probability of success
- 1-p = probability of failure
Applying the Formula to n=9 and p=1/3
Using the formula, we can calculate the variance of the binomial distribution with n=9 and p=1/3:
Var(X) = (9)(1/3)(2/3) = 2
Interpretation of the Result
The variance of 2 means that the distribution of the number of successes in 9 trials with a probability of success of 1/3 is relatively spread out. This makes sense, as the probability of success is not very high, so there will likely be a range of possible outcomes.
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The binomial distribution n=9 and p=1/3. what is the value of variance?
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The binomial distribution n=9 and p=1/3. what is the value of variance? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The binomial distribution n=9 and p=1/3. what is the value of variance? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The binomial distribution n=9 and p=1/3. what is the value of variance?.
The binomial distribution n=9 and p=1/3. what is the value of variance? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The binomial distribution n=9 and p=1/3. what is the value of variance? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The binomial distribution n=9 and p=1/3. what is the value of variance?.
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