(a) The monthly demand for transistors is known to have the following probability distribution: Demand 3 4. Probability 0.10 0.15 0.20 0.25 0.18 0.12 1. Determine the expected demand for transistors 1i. Determine the variance demand for transistors (2 Marks) (2 Marks) Suppose that the cost (C) of producing transistors is given by the equation, C = 10,000 + 500x. Determine the variance cost. (3 Marks) (b) It is known from the past experience that 80% of the students in a school do their- homework. Find the probability that during a random check of ten students: all have done their homework at most two have not done their homework at least one has not done the homework 1. (2 Marks) (2 Marks) (3 Marks) (1 Mark) 11. im IV. Find the expected number of students who do their homework. Find the standard deviation of students who do their homework (2 Marks) V. (c) In a main frame computer centre, execution time of programs follows an exponential distribution. The average execution time of the programs is 5 minutes Find the probability that the execution time of programs is less than 4 minutes. (3 Marks) |TOTAL: 20 MARKSI