Question 22 5 A typist on average makes one error every 500 words. Let X be the number of errors in a randomly-chosen page containing 1000 words. a) What is the exact distribution of X? Make sure to write the parameters as well. b) Calculate the probability that the number of misprints lies between 2 and 5 (both inclusive). You must show all your workings and round your answer to three decimal places in answering (i) & (ii). (1) using the Binomial distribution, and (ii) using the Poisson distribution with the same mean of the Binomial distribution. c) Compare and state your comments of the results bi) and bil). Clearly explain your