17. A multiple choice test has 50 questions, each with 4 answer choices for each question. You must get at least 22 correct answers to pass the test. (a) If you randomly guess on every question, what is the probability that you will pass the test? (b) Would it be unusual for you to pass the test? YES or NO. Probability you pass: 18. In Lafayette about 30% of people suffer from pollen allergy every spring. This spring suppose we have taken a random sample of 10 residents. (a) What is the probability that in our sample only one person suffers from allergy? (b) What is the expected number of sufferers in our sample? 19. It is known that 25% of all children get influenza every year. If you have 20 students in your kindergarten class, the probability that 2 children will get the flu is: 20. Consider a large population in which 13% of the people in a certain population are left- handed. A random sample of 15 people is taken from the population. (a) What is the probability that exactly 1 person in the sample is left-handed? Round to four decimal places. (b) What is the probability that 5 or fewer people in the sample are left-handed? Round to four decimal places. (c) What is the probability that more than 5 people in the sample are left-handed? Round to four decimal places. (d) Would it be unusual for more than 5 people in the sample to be left-handed? (Use the textbook's definition of unusual.)