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X is a binomial variable with n = 20. What is the mean of X if it known that x is symmetric
- a)5
- b)10
- c)2
- d)8
Correct answer is option 'B'. Can you explain this answer?
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X is a binomial variable with n = 20. What is the mean of X if it know...
Mean of a Binomial Variable with Symmetry
A binomial variable X is said to be symmetric if it satisfies the following condition:
- X ~ B(n, p) with n being even.
- p = 0.5 (which implies that q = 1 - p = 0.5)
In this case, the mean of X can be calculated as:
Mean of X = n * p
Here, n = 20 and p = 0.5, as X is symmetric.
So, Mean of X = 20 * 0.5 = 10
Therefore, the correct answer is option B) 10.
A binomial variable X is said to be symmetric if it satisfies the following condition:
- X ~ B(n, p) with n being even.
- p = 0.5 (which implies that q = 1 - p = 0.5)
In this case, the mean of X can be calculated as:
Mean of X = n * p
Here, n = 20 and p = 0.5, as X is symmetric.
So, Mean of X = 20 * 0.5 = 10
Therefore, the correct answer is option B) 10.
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Community Answer
X is a binomial variable with n = 20. What is the mean of X if it know...
If symmetrical then
p=q=1/2
mean=np
=20×1/2
10
p=q=1/2
mean=np
=20×1/2
10
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X is a binomial variable with n = 20. What is the mean of X if it known that x is symmetrica)5b)10c)2d)8Correct answer is option 'B'. Can you explain this answer?
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