a. The probability distribution of the number of customers who visit a stationery shop between 9.00 am and 10.00 am is given in the table below: Number of Customers 0 1 2 3 4 Probability 0.1 0.4 0.2 0.2 0.1 i. Find the probability that exactly three customers visited the shop between 9.00 am and 10.00 am. ii. Calculate the probability that more than one customer visited the shop between 9.00 am and 10.00 am. iii. Determine the mean number of customers who visited the shop between 9.00 am and 10.00 am. iv. Calculate the standard deviation of the number of customers who visited the shop between 9.00 am and 10.00 am. b. Tomatoes seeds take an average of 105 hours to germinate. The time taken to germinate is normally distributed with a standard deviation of 12 hours. i. What is the probability that a seed will take more than 90 hours to germinate? ii. What is the probability that a seed will take between 100 hours and 110 hours germinate? iii. Find the expected number of seeds which take more than 120 hours to germinate if 170 seeds are sown. iv. Calculate the probability that the average time taken to germinate 50 seeds sown is between 125 and 135 hours.