3. (a) "Pure Pilates Fitness" Company is going to hold a pilates class with 20 registered students. From the
previous records of pilates classes, the average attendance rate per class is 92% of registered students.
(i) Calculate the probability that at most 18 students will attend the pilates class
(ii) Given that at least 16 students attend the pilates class, calculate the probability that there will be at most 1 student absent.
(b) A Bakery Shop makes special giant cookies with the mean rate of four special giant cookies per day. Assume that the Bakery shop is open for six working days in a week. What is the probability that a randomly selected week has five days where the Bakery Shop makes at most three special giant cookies?
(c) "Twittered" Social Media Online Platform claims that 78% of the companies who advertise using their online platform have growth in sales revenue within 1 month of the first appearance of the advertisement. What is the probability that among 90 randomly selected companies who advertise on "Twittered", at most 59 of them have growth in sales revenue within 1 month of the first appearance of the advertisement?