If mean and standard deviation of a binomial distribution is 10 and 2respectively; q will be ___(a) 1(b) 0.8(c) 0.6(d) 0.4
Question
Solution
In a binomial distribution, the mean (μ) and standard deviation (σ) are given by the formulas:
μ = np σ = sqrt(npq)
where: n = number of trials p = probability of success q = probability of failure (1-p)
Given that μ = 10 and σ = 2, we can use these formulas to find the value of q.
First, we can square the formula for the standard deviation to get rid of the square root:
σ^2 = npq
Substituting the given values:
4 = 10q
Solving for q gives:
q = 4/10 = 0.4
So, the answer is (d) 0.4.
Similar Questions
f n = 10 and p = 0.70, then the standard deviation of the binomial distribution isQuestion 8Select one:a.14.29.b.7.00.c.1.45.d.0.07.
Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution isQuestion 8Select one:a.1.44b.144c.12d.20
Suppose X follows a binomial distribution with n=30 trials and p=0.5 probability of success . Find μₓ, the mean of X. Do not round your answer.2 points
If the mean of a binomial distribution is 12 and its standard deviation is 2, then the number of trials is : 18142416
Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10What is the standard deviation?Question 3Answera.4.85b.1.06c.0.3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.