a) The following Table lists the probability distribution of a discrete random variable x: 1 3 4 P(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard...

Extracted text: a) The following Table lists the probability distribution of a discrete random variable x: 1 3 4 P(x) | 0.19 0.32 0.24 * 0.06 0.03 (i) Calculate the expected value (mean), variance and the standard deviation of the probability distribution. b) Eighty percent (80%) of lecturers will be able to obtain a parking space at a university car park. If there are 275 lecturers with vehicles on campus each day, what is the probability that at least 215 lecturers will obtain a parking space on a given day? Use a suitable approximation in your response.