The following probabilities are based on data collected from U.S. adults during the National Health Interview Survey 2005–2007. Individuals are placed into a weight category based on weight, height, gender and age.Underweight Healthy Weight Overweight (Not Obese) ObeseProbability 0.019 0.377 0.35 0.254Based on this data, what is the probability that a randomly selected U.S. adult weighs more than the healthy weight range? 0.0889 0.35 0.254 0.604Question 5Select one answer.10 pointsLet A and B be two disjoint events such that P(A) = 0.20 and P(B) = 0.60.What is P(A and B)? 0 0.12 0.68 0.80Question 6Select one answer.10 pointsIn 2012, researchers working with a very large population of health records found that 9.3% of all Americans had diabetes (source: National Diabetes Statistics Report, 2014). Suppose a medical researcher randomly selects two individuals from a large population.Let A represent the event “the first individual has diabetes.”Let B represent the event “the second individual has diabetes.”True or false? A and B are independent events. True FalseQuestion 7Select one answer.10 pointsAn engineering school reports that 55% of its students were male (M), 40% of its students were between the ages of 18 and 20 (A), and that 25% were both male and between the ages of 18 and 20.What is the probability of a random student being male or between the ages of 18 and 20? 0.22 0.25 0.70 0.95Question 8Select one answer.10 pointsAccording to the information that comes with a certain prescription drug, when taking this drug, there is a 20% chance of experiencing nausea (N) and a 50% chance of experiencing decreased sexual drive (D). The information also states that there is a 15% chance of experiencing both side effects.What is the probability of experiencing neither of the side effects? 0.10 0.40 0.45 0.70 0.85Question 9Select one answer.10 pointsAn engineering school reports that 55% of its students were male (M), 40% of its students were between the ages of 18 and 20 (A), and that 25% were both male and between the ages of 18 and 20.What is the probability of a random student being female between the ages of 18 and 20? Assume P(F) = P(not M). 0.15 0.16 0.30 0.40Question 10Select one answer.10 pointsIn a certain liberal arts college with about 10,000 students, 40% are males. If two students from this college are selected at random, what is the probability that they are both males? 0 0.16 0.80 0.64 0.25