A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 14 buyers are randomly selected, what is the probability that exactly 12 buyers would prefer green? Round your answer to four decimal places.

It is estimate that 40% of households own a riding lawn mower. A sample of 11 households is studied. What is the probability that exactly 8 of these own a riding lawn mower.

A poll is given, showing 55% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 1 of them favor the new building project? Check Answer

Suppose that 57% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction

3. Let X1, X2, ..., Xn be a random sample from the population N(µz,0²) and Y1, Y2,...,Ym a random sample from the population N(µy, o2), where both means (z and Hy) are assumed known. Note that the two distributions have a common variance of o². (a) If the X's and Y's are independent, show that the MLE for the common variance is: E (Xi - H2)² +E(Y; - Hy)? n+ m (b) Is the MLE found above unbiased for o2?

A certain math conference has 9495 attendees.  Of these individuals, 6047 are college professors, and 4174 are female.  Of the college professors, 3218 are female.  What is the probability that a randomly selected attendee is female or a college professor? Answers should be decimals (not percentages) correct to three decimal places.

About 45% of students participate in a community volunteer program outside of school. If 50 students are selected at random, find the probability that at most 25 of them participate in a community volunteer program outside of school.

Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Suppose that 28% of people own dogs. If two people are randomly selected, what is the probability that they both own a dog?

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50 % of this population prefers the color black. If 16 buyers are randomly selected, what is the probability that less than 12 buyers would prefer black? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Tables Keypad Keyboard Shortcuts