6- Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course. It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics. Included in these numbers are 15% who are enrolled in both statistics and finance. A student is randomly selected, what is the probability that the student is enrolled in either finance or statistics or both? SOLVE & SHOW THE STEPS

Sixty percent of clowns aren’t funny.   If you randomly encounter three different clowns, what is the probability that none of them are funny?

A survey conducted on students of XYZ University reported the number of male and female students and their majors. The data obtained are given in the following table.   Science Politics Total Men 109 13 122 Women 10 23 33 Total 119 36 155 a. What is the probability that a student majors in Science?b. What is the probability that a student majoring in Science of or being a male?c. What is the probability that a student majoring in Sciences and is given that he is a man?

Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah.  A large cat is chosen at random. What is the probability that it is a male cheetah?

Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a detective file in Boston has 51 current unsolved murders. What is the probability that fewer than 21 victims knew their murderer?

At the close of the stock markets on a day in 2013, there were 5905 companies listed with a certain stock exchange. On this day, the probabilities of advancing, declining, and unchanged company stocks appears in the table for the two exchanges. Find the probability an unchanged stock was listed on Exchange 1. Exchange Exchange 1 Exchange 2 Percentage of Probability of Probability of Stock Stock Companies Listed Advancing Declining 0.045 0.267 0.047 0.297 54.4% 45.6% The probability that an unchanged stock was listed on Exchange 1 is (Round to three decimal places as needed.) Probability the Stocks Remain Unchanged 0.045 0.047

2) The probability that a randomly selected student is​ female given that the student received a business​ degree, is

In 2014, the percentage of the U.S. population that speak English only in the home is 78.9%. Choose 15 U.S. people at random. What is the probability that exactly one-third of them speak English only? At least one-third? What is the probability that at least 9 do not speak English in the home?