Question 1 a. During Movement Control Order (MCO), a pharmacy located in a shopping mall found that 35% of their customers purchase products through online shopping. (i) A random sample of 8 customers is selected. Determine the probability that more than 6 customers purchase products using online shopping. (3 marks) (ii) Determine the probability that, in a random sample of 50 customers, the number of customers purchasing products online are between 15 to 20 customers inclusively. (4 marks) b. In an hour, an average of 10 customers arriving at a shopping mall entrance during the Movement Control Order (MCO). If the arrival of the customers at the shopping mall entrance follows Poisson distribution. Determine the probability that exactly 5 customers arriving from 10 am to 11 am at a shopping mall entrance during MCO. (2 marks) c. The price of a bottle of vitamin C is normally distributed with a mean of RM36.50 and a standard deviation of RMO.50. (i) What is the percentage that the price of a bottle of vitamin C is between RM36 and RM37? (3 marks) (ii) 95% of the selling price for a bottle of vitamin C is below RM k, find the value of k