Suppose you plan to sell your iphone X on Gumtree (an online trading platform in Australia). Assume that the number of enquires you receive per week is 20 average. For all the blanks below, please just input numerical answers, round the answers to 2 decimal places, and ignore the symbols of the dollar, percentage comma etc. Note that the following questions are independent of each other. Question (a) [1 mark] If the arrival of enquires follows a Poisson distribution, what is the probability of receiving zero enquiry a day? (Instruction: If the probability is 10.23%, then input 10.23 as the answer.) % Question (b) [1 mark] If the arrival of enquires follows a Poisson distribution, what is the probability of receiving more than 4 enquiries (i.e., 4 or more than 4 enquires) a day? (Instruction: If the probability is 10.23%, then input 10.23 as the answer.) Question (c) [1 mark] If the time between any two enquires follows an exponential distribution, and you just received an enquiry. What is the probability that there is another enquiry within the next two hours? (Instruction: If the probability is 10.23%, then input 10.23 as the answer.) %