A national survey reported that 32% of adults in a certain country have hypertension (high blood pressure). A sample of 22 adults is studied. Round the answers to four decimal places.Part 1 of 4(a) What is the probability that exactly 6 of them have hypertension?The probability that exactly 6 of them have hypertension is .Part 2 of 4(b) What is the probability that more than 8 have hypertension?The probability that more than 8 have hypertension is .Part 3 of 4(c) What is the probability that fewer than 3 have hypertension?The probability that fewer than 3 have hypertension is .Part 4 of 4(d) Would it be unusual if more than 10 of them have hypertension?It ▼(Choose one) be unusual if more than 10 of them find have hypertension since the probability is

Apply Bayes Theorem to solve the following problem: Consider a set of patients coming for treatment in a certain clinic. LetA denote the event that a "Patient has heart disease" and B the event that a "Patient is having high blood pressure(BP)."It isknown from experience that 10% of the patients entering the clinic have heart disease and 5% of the patients are having highBP. Also, among those patients diagnosed with heart disease, 7% are having high BP. Given that a patient with high BP, whatis the probability that he will have heart disease

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

A sample of 100 people is selected for a survey, among the questions asked was"Do you like Statistics?" and "Do you live in Wollongong?". Of the 100 people,  80 said they like Statistics, 53 people said they like Statistics and also live in Wollongong(at the same time), 15 people said they don't like Statistics and also don't live in Wollongong (at the same time).a) Find the following probability, P(Likes Statistics | Live in Wollongong)b) Are the events "Likes Statistics" and "Lives in Wollongong" statistically independent?

A survey of professions had the results shown in the table. What is the probability that a person chosen at random from the survey respondents would work in health care? Round your answer to three decimal places.Retail 42Health Care 70Food 107Physical Labor 67Office Work 106Agriculture 54Group of answer choicesNot enough information to calculate.0.1576.3710.094

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?