3. The frequency distribution shown here illustrates the number of medical tests conducted on a randomly selected group of emergency room patients at a local hospital. Note: Give 4 decimal places for all probability answers. Number of Tests Performed Probability a. Explain why it is safe to assume the number of tests performed on a patient is disjoint. 0 0.333 1 0.240 2 0.148 3 0.056 b. Selecting just one patient at random, find the 4 0.093 probability that the patient did not have exactly 4 tests performed. 5 0.130 c. Selecting just one patient at random, find the probability that the patient had at least 1 test done. d. Explain why it is safe to assume in this context the number of tests performed from one patient to the next is independent. e. Selecting 2 patients at random, find the probability that both patients had more than 3 tests done. f. Selecting 4 patients at random, find the probability that at least one of them had 2 tests done.(G 5.3: Independence and the Multiplication Rule 1- Determine whether events A and B are independent or not. Circle the best choice. a) A JC Student iS chosen at random. EventA: The student is average height; Event B: The student's mother is average height. Independent Dependent b) A JC student is chosen at random. EventA: The student was born on a Sunday; Event B: The student's mother was born on a Sunday. Independent Dependent 2. You are going to toss a fair, 20sided die 3 times (Sides are 1, 2, 3, 20). a) What does it mean that the die is \"fair\" b) What is the probability that at rst you roll a 20, then you roll a 1, and then you roll a number greater than 15? c) What is the probability that you roll three numbers that are greater than 17 in a row? (Give 6 decimal places - show work). d) What is the probability that you roll at least one 20? (Give 4 decimal places - show work). 4. The following table shows the probability distribution of blood types and Rhesus (Rh) factors for people living in Quebec, Canada. (Source: https://www.hema-quebec.qc.ca/sang/savoir-plus/groupes-sanguins.en.html) O B AB TOTAL Rh+ 0.390 0.360 0.075 0.025 Rh- 0.070 0.060 0.015 0.005 TOTAL a. Find and fill in the totals for each row and column above. For parts b-e: Choosing one person, at random, find the probability that: (3 decimal places) b. The person is a universal donor (i.e., has O- blood) c. The person has Rh+ blood d. The person has A+ or B- blood e. The person has type A or + blood For parts f-h: Choosing three people, at random, find the probability that: (4 decimal places) f. All three people have type B blood. g. The first person is O+, the second is A+, and the third is B+. h. At least one person is O