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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)0.25b)0.75c)1d)noneCorrect answer is option 'B'. Can you explain this answer?
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