Basic Statistics05 marksNumerical: mean and standard deviationRandom variables and probability functions
Probability Distribution of Computer Crashes Following table represents the probability distribution for the number of computers crashes monthly in a reputed software company in Biratanagar. Compute mean and standard deviation of number of computer crashes and interpret them. | Number of computer cr
Probability Distribution of Computer Crashes
Following table represents the probability distribution for the number of computers crashes monthly in a reputed software company in Biratanagar. Compute mean and standard deviation of number of computer crashes and interpret them.
| Number of computer crashes | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Prob(X = x) | 0.10 | 0.20 | 0.45 | 0.15 | 0.05 | 0.05 |
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Probability distribution: $x$ 0 1 2 3 4 5 --------------------- $P(X=x)$ 0.10 0.20 0.45 0.15 0.05 0.05 Check sum: $0.10+0.20+0.45+0.15+0.05+0.05 = 1.00 \checkmark$ $$\mu = E(X) = \sum x,P(X=x)$$ $x$ $P(X=x)$ $xP(x)$ --------- 0 0.10 0.00 1 0.20 0.20 2 0.45 0.90 3 0.15 0.45 4 0.05 0.20 5 0.05 0.2...