(a) Verify that u satisfies a²u + ažu = 0, if u=e* sin y . ay? (b) A box contains 20 electrical resistors whose values and frequencies are listed in table Q4(c). Table Q4(c) |Values (Q) 0.1 0.5 1 2 5...

Extracted text: (a) Verify that u satisfies a²u + ažu = 0, if u=e* sin y . ay? (b) A box contains 20 electrical resistors whose values and frequencies are listed in table Q4(c). Table Q4(c) |Values (Q) 0.1 0.5 1 2 5 10 Frequency (Hz) 1 3 6 53 2 (i) Draw the frequency histogram and find the mode. (ii) Find the mean of the sample. (iii) Find the standard deviation of the sample. (iv)A resistor is drawn from the box at random. What is the probability that the selected resistor is at least 5 kQ.