The weights of men (of age 33) from a certain population follow an approximately normal distribution with mean 166 pounds and variance 36 square pounds. By that age, the level of sugar in their blood follows a normal distribution with mean 70 mg/dl with a standard deviation of 5 mg/dl. Define such a person to be "obese" if his weight is in excess of 172 pounds and to be "diabetic" if his blood sugar level is in excess of 75 mg/dl. Assume that these two properties are independent of each other. Define a person to be "at risk of a heart disease if he is "obese" and "diabetic".. 10 people (Mr. Jones, Mr. Smith and eight others of this age, from this population) are visiting a clinic Independently of each other. What is the probability that both Mr. Jones and Mr. Smith will be "at risk' or a. beart disease. Find the probability that Mr. Jones will be "diabetic" or Mr. Jones' blood sugar level will be at most 80 mg/dl? Determine how heavy (in pounds) the heaviest 5% of the members in this population are. What is the probability that their (the group of 10 men) average weight will differ from the true population weight average by at most 6 pounds? Find the shortest range of blood sugar level that is most likely to trap 40% of the population. The weights of men (of age 33) from a certain population follow an approximately normal distribution with mean 166 pounds and variance 36 square pounds. By that age, the level of sugar in their blood follows a normal distribution with mean 70 mg/dl with a standard deviation of 5 mg/dl. Define such a person to be "obese" if his weight is in excess of 172 pounds and to be "diabetic" if his blood sugar level is in excess of 75 mg/dl. Assume that these two properties are independent of each other. Define a person to be "at risk of a heart disease if he is "obese" and "diabetic".. 10 people (Mr. Jones, Mr. Smith and eight others of this age, from this population) are visiting a clinic Independently of each other. What is the probability that both Mr. Jones and Mr. Smith will be "at risk' or a. beart disease. Find the probability that Mr. Jones will be "diabetic" or Mr. Jones' blood sugar level will be at most 80 mg/dl? Determine how heavy (in pounds) the heaviest 5% of the members in this population are. What is the probability that their (the group of 10 men) average weight will differ from the true population weight average by at most 6 pounds? Find the shortest range of blood sugar level that is most likely to trap 40% of the population