(4 marks) Let x be the number of defective items identified on a given day in a toy manufacturing factory. The following table lists the probability distribution for x. Use the table to answer the following questions x 0 1 P(x) 10.16 0.25 2 3 4 5 0.26 0.1 0.15 0.08 a) Find P(2 x 5. 4) b) Draw the probability graph. [0.5 mark] [1 mark] c) Calculate the expected value of x. [1 mark] d) Calculate the standard deviation of x [1.5 mark] Question 12