Find the stationary point of the curve \(y = 3x^{2} - 2x^{3}\).
Evaluate \(\int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x\).
Calculate the standard deviation of 30, 29, 25, 28, 32 and 24.
Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\).
Out of 70 schools, 42 of them can be attended by boys and 35 can be attended by girls. If a pupil is selected at random from these schools, find the probability that he/ she is from a mixed school.
