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The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6?
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The mean of a binomial distribution is 4 and its standard deviation is...
Given:
Mean (μ) = 4
Standard deviation (σ) = 2
Calculating p:
- The mean of a binomial distribution is given by μ = np, where n is the number of trials and p is the probability of success.
- In this case, μ = 4 and n = 4.
- Therefore, 4 = 4p
- Solving for p, we get p = 1.
Verifying the value of p:
- The standard deviation of a binomial distribution is given by σ = sqrt(np(1-p)).
- Substituting the values of μ, σ, and n into the formula, we get 2 = sqrt(4(1-p)).
- Squaring both sides, we get 4 = 4(1-p).
- Simplifying further, we get 1 = 1-p.
- Therefore, p = 1.
Conclusion:
- The value of p that satisfies the given mean and standard deviation is 1.
- Hence, none of the options provided (0.5, 0.25, 0.75, 0.6) is correct.
- The correct answer is that p = 1.
Mean (μ) = 4
Standard deviation (σ) = 2
Calculating p:
- The mean of a binomial distribution is given by μ = np, where n is the number of trials and p is the probability of success.
- In this case, μ = 4 and n = 4.
- Therefore, 4 = 4p
- Solving for p, we get p = 1.
Verifying the value of p:
- The standard deviation of a binomial distribution is given by σ = sqrt(np(1-p)).
- Substituting the values of μ, σ, and n into the formula, we get 2 = sqrt(4(1-p)).
- Squaring both sides, we get 4 = 4(1-p).
- Simplifying further, we get 1 = 1-p.
- Therefore, p = 1.
Conclusion:
- The value of p that satisfies the given mean and standard deviation is 1.
- Hence, none of the options provided (0.5, 0.25, 0.75, 0.6) is correct.
- The correct answer is that p = 1.
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The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6?
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The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6? 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 mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6?.
The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6? 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 mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of a binomial distribution is 4 and its standard deviation is . The values of p is: (a) 0.5 (b) 0.25 (c) 0.75 (d) 0.6?.
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