1. **State the problem:** Shifaa is late 2 days out of 6 working days in a week. We want to find the expected number of days she is late in a week. 2. **Formula used:** The expected value $E(X)$ for a discrete random variable $X$ is given by: $$E(X) = \sum x_i P(x_i)$$ where $x_i$ are the possible values and $P(x_i)$ their probabilities. 3. **Apply to this problem:** Here, the number of days late can be considered as a binomial random variable with parameters $n=6$ (days) and probability $p=\frac{2}{6} = \frac{1}{3}$ of being late on any day. 4. **Expected value for binomial distribution:** $$E(X) = n \times p$$ 5. **Calculate:** $$E(X) = 6 \times \frac{1}{3} = 2$$ 6. **Interpretation:** On average, Shifaa is expected to be late 2 days per week. **Final answer:** The expected number of days Shifaa is late is $2$ days.