Phrases Previous Year Questions (PYQs) – Probability Distribution
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A random variable X has the distribution law as given below:
The variance of the distribution is
| X | 1 | 2 | 3 |
| P(X=x) | 0.3 | 0.4 | 0.3 |
1
2
3
4
Solution
The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively. The P(X = 1) is
1
2
3
4
Solution
np = 4
npq = 2
q = 1/2, p = 1/2, n = 8
p(X = 1) = 8C1 (1/2)(1/2)7
If 
is the mean of distribution of x, then usual notation 
is
is the mean of distribution of x, then usual notation is1
2
3
4
Solution
Mean Deviation from mean is Zero.
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