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If in Binomial distribution np = 9 and npq = 2. 25 then q is equal to
- a)0.25
- b)0.75
- c)1
- d)none
Correct answer is option 'B'. Can you explain this answer?
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If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa...
Binomial Distribution
The binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
Formula
The formula for the mean and variance of the binomial distribution are:
Mean (μ) = np
Variance (σ2) = npq
Solution
Given that np = 9 and npq = 2.25, we need to find the value of q.
Using the formula for mean, we get:
μ = np
9 = nq
n = 9/q
Substituting n in the formula for variance, we get:
σ2 = npq
2.25 = (9/q) * q * (1 - q)
2.25 = 9(1 - q)
1 - q = 0.25
q = 0.75
Therefore, the value of q is 0.75, which is option B.
The binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
Formula
The formula for the mean and variance of the binomial distribution are:
Mean (μ) = np
Variance (σ2) = npq
Solution
Given that np = 9 and npq = 2.25, we need to find the value of q.
Using the formula for mean, we get:
μ = np
9 = nq
n = 9/q
Substituting n in the formula for variance, we get:
σ2 = npq
2.25 = (9/q) * q * (1 - q)
2.25 = 9(1 - q)
1 - q = 0.25
q = 0.75
Therefore, the value of q is 0.75, which is option B.
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If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa...
Right answer is A
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If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa)0.25b)0.75c)1d)noneCorrect answer is option 'B'. Can you explain this answer?
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If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa)0.25b)0.75c)1d)noneCorrect answer is option 'B'. Can you explain this answer? 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 If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa)0.25b)0.75c)1d)noneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If in Binomial distribution np = 9 and npq = 2. 25 then q is equal toa)0.25b)0.75c)1d)noneCorrect answer is option 'B'. Can you explain this answer?.
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