Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1...

Question 1 In an optical shop, the optician has conducted a survey with his customers with a question “how many pairs of sunglasses do you have?”. The result shows that 30% of the interviewees have 1 pair of sunglasses, 15% of the interviewees have 2 pairs of sunglasses and 15% of the interviewees have more than 2 pairs of sunglasses. The other interviewees do not have any sunglasses. The shop is organizing a private sale and there will be 20 participants. Peter is assigned to take care of those participants who says that they do not have any sunglasses. (a) What is the probability that a participant does not have any sunglasses? (b) Most likely, how many participants in the private sale do not have any sunglasses? Calculate the probability of its happening. (c) Peter is asking for an assistant for the private sales. His application should be approved if the probability that there will be more than 4 participants in the private sale have no sunglasses is higher than 0.8. Would his application be approved? Explain your answer with calculation.