A Statistics course has 12 Sophomores, 18 Juniors, and 7 Seniors. From her previous classes, you expect the instructor to give 10 As. The class that student is in (So, Jr, Sr) seems to have no effect on their grade. What is the probability that exactly five As will go to Juniors? .500 379 O 286 O 245 .175

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx

. Assume that 75 percent of the students at the university have taken 4 years of high school math. Of those with four years of high school math, 80 percent plan to major in science. Of those without 4 years, only 10 percent plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that this student had four years of high school math?

Suppose that 35% 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

Based on past experience, the store manager estimates that the probability that any one customer will make a purchase is .30. What is the probability that two of the next three customers will make a purchase?

Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow?   Give your answer in its simplest form.

You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.