Suppose that in a certain metropolitan area, 90% of all households have cable TV. Let x denote the number among four randomly selected households that have cable TV. Then x is a binomial random variable with   n = 4 and p = 0.90. (Round your answers to four decimal places.) (a) Calculate p(3) = P(x = 3). (b) Calculate p(4),the probability that all four selected households have cable TV. (c) Calculate P(x ≤ 3).

A researcher wants to find the factors affecting the probability that a person suffers from heart diseases. Let Age denote the age of the person, let BMI denote whether the BMI of the preson is above 30 (BMI = 1) or below 30 (BMI = 0), and let smoker denote whether the person is a smoker (smoker= 1) or not (smoker=0). She collects a random sample of 1,000 individuals from the general population and estimates the following logit regression: Pr(Heart disease Age, BMI, Smoker) - F(2.46 +0.05Age + 0.04BMI + 0.04 Smoker). (0.98) (1.09) (1.31) (1.31) Standard errors are given in parentheses. The binary dependent variable, Heart disease denotes the probability of a person suffering from heart disease keeping Age, BMI, and smoker constant. The predicted probability that Henry who is currently aged 58, whose BMI is above 30, and is a smoker, will suffer from a heart disease is (Round your answer to four decimal places.)

Based on the survey assume that 49% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that 5 consumers are randomly selected exactly 2 of them are comfortable with delivery by drones. Indemnify values of n, x, p, and q.

Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…