In a recent school election at a large school we know that 45% of the students supported candidate X and the other 55% supported candidate Y. Assume everyone has a strong opinion about one candidate or the other.If we select 2 students at random, what is the probability that they both support candidate X? 0 0.2025 0.6975 0.90Question 5

In 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

Suppose that a certain college class contains 63 students. Of these, 35 are freshmen, 31 are social science majors, and 7 are neither. A student is selected at random from the class.(a) What is the probability that the student is both a freshman and a social science major?(b) Given that the student selected is a freshman, what is the probability that he is also a social science major?Write your responses as fractions. (If necessary, consult a list of formulas.)ab

A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a​ two-candidate election, if a specific candidate receives at least ​% of the vote in the​ sample, that candidate will be forecast as the winner of the election. You select a random sample of voters. Complete parts​ (a) through​ (c) below. Question content area bottom Part 1 a. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is ​%? The probability is    0.2177 that a candidate will be forecast as the winner when the population percentage of her vote is ​%. ​(Round to four decimal places as​ needed.) Part 2 b. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is ​%? The probability is    enter your response here that a candidate will be forecast as the winner when the population percentage of her vote is ​%. ​(Round to four decimal places as​ needed.)

Question 2In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthropology, and 9% in math. You are going to select an individual from the group of students. The probability of event A is equivalent to the probability that you select someone who studies social science (sociology, political science and anthropology) or physics. What is the probability of the event A’s complement?1 point0.510.260.490.74

In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolledin a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign languagecourse or both. What is the probability that a student chosen at random from this school will be enrolled inboth a foreign language course and a psychology course?(A) 0.45(B) 0.32(C) 0.20(D) 0.13(E) 0.05