The top recreational activity for men was fishing, with 41% of those surveyed indicating that they had fished during the past year. Suppose 280 randomly selected men are asked whether they had fished in the past year (a) What is the probability that between 120 and 135 (inclusive) had fished? (bl What is the robability that tbe sample proportion of men who have fished in the past vear ô e ceeds 50%?

Q5: Assume that 75% of all employees at York University are in favor of unionization. A sample of 50 York employees were taken. a. Show the sampling distribution of the proportion of the employees at York University are in favor of unionization. b. What is the probability that the sample proportion will be within ±0.03 of the population proportion?

A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. What is the expected value of X? b. What is the standard deviation of X? c. What is the probability that X is within 2.0 standard deviations of its expected value? d. What is the probability that X = 1.5?

The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation is 7.4 mm. Suppose that 44 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? I - N( b. For the group of 44, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? No Yes Submit Ouortion

The probability is 0.4 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In six traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is a. exactly​ three; at least​ three; at most three. b. between two and four​, inclusive. c. Find and interpret the mean of the random variable Y.   a. The probability that exactly three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   The probability that at least three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   The probability that at most three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   b. The probability that between two and four…

. According to one study, 15% of workers call in sick on their birthdays. A random sample of 11 workers is selected.a. What is the probability that at most 2 of the workers in the sample call in sick on their birthdays?b. Find the expected value and standard deviation (rounded to 2 decimal places)

Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. b. If one car is randomly chosen, find the probability that it is traveling more than 72 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 77 and 81 mph. d. 84% of all cars travel at least how fast on the freeway? mph.

A recent study showed that 71% of adults need some type of corrective lens (glasses or contacts). A. If I grab a 6 random people what is the probability that fewer than 4 need corrective lenses? B. If I take a random sample of 2000 people what is the mean and standard deviation of the number of people who need corrective lens? C. Use the normal approximation to the binomial to find the probability that I get 1375 or fewer people who need corrective lenses out of a random sample of 2000. Illustrate what you are finding on a sketch of the normal curve and show your work.

The lengths of adult males' hands are normally distributed with mean 191 mm and standard deviation is 7.4 mm. Suppose that 40 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? ¤ - N( b. For the group of 40, find the probability that the average hand length is less than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O YesO No