Basic Statistics20825 marksNumerical: Expected value and varianceRandom variables and probability functions
A tech team records the number of bug reports closed per hour. The probability distribution is given below. Find the expected number of bug reports closed per hour and its variance.
A tech team records the number of bug reports closed per hour. The probability distribution is given below. Find the expected number of bug reports closed per hour and its variance.
$$\begin{array}{|c|ccccc|}\hline Y & 0 & 1 & 2 & 3 & 4 \ \hline P(Y) & 0.10 & 0.18 & 0.32 & 0.30 & 0.10 \ \hline \end{array}$$
[5]
Probability distribution of $Y$ (bug reports closed per hour): $Y$ 0 1 2 3 4 ------------------------------ $P(Y)$ 0.10 0.18 0.32 0.30 0.10 Check: $\sum P(Y) = 0.10 + 0.18 + 0.32 + 0.30 + 0.10 = 1.00$ ✓ (valid distribution) $$E(Y) = \sum Y \cdot P(Y)$$ $Y$ $P(Y)$ $Y \cdot P(Y)$ ------------------...