Binomial Distrbution : Mean, Variace and S.D.
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The probability that an individual is left-handed is 0.1. In a class of 30 students, what is the probability of finding at least five left-handers?
Construct a binomial distribution.
Find the mean, variance and standard deviation of the distribution.
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Solution Summary
Solution describes the steps for calculating mean, variance and standard deviation for binomial distribution. It also explains building binomial distribution.
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Solution
n = 30
p= 0.1
q = 1-0.1=0.9
It is binomial distribution
Mean = n*p = 30*0.1 =3
Variance = n*p*q = 30*0.1*0.9=2.7
Standard Deviation= sqrt(Variance) =sqrt(2.7)= 1.643168
We can use binomdist function to get probabilities and make binomial distribution
No. of success, r Probability p
0 0.0423911583
1 ...
Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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