A random sample of 15 persons is taken from a population in which 42% are Muslims. What is the probability that exactly 6 persons in the sample are Muslims?

Consider the following game: by betting 1 dollar, you have a 35% chance of winning the game which gives you a reward of $2.50. Also, assume you have a 15% chance to neither win nor lose any money (i.e., your $1 is returned) and assume that you have a 50% of losing the game (i.e., you lose your original dollar). Draw a probability tree and calculate the expectation of this game. Would you play it? What would happen to your stash if you played the game a whole bunch of times (i.e., if you had enough money to play the game 1 million times)?

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 2 15 3 20 Female 14 8 18 40 Total 16 23 21 60 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got a 'A'.

. A sample of 200 people was asked their favorite genre of music. Below are the results. Gender Rock Pop Hip-Hop Other Male 31 20 37 12 Female 17 30 19 34   If one of those people is randomly selected, find the probability that the person is a female or their favorite genre of music is Hip-hop. Round to three decimal places as needed. If one of those people is random selected, find the probability that the person’s favorite genre of music is Pop, given that the person is a male. Round to three decimal places as needed.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 5 2 9 16 Female 13 18 14 45 Total 18 20 23 61 If one student is chosen at random from those who took the test,Find the probability that the student got a 'A' GIVEN they are male.

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 16 17 7 40 Female 12 19 3 34 Total 28 36 10 74 If one student is chosen at random from those who took the test,Find the probability that the student was female GIVEN they got an 'A'.

A test was given to a group of students. The grades and gender are summarized below A B C Total Male 15 14 4 33 Female 7 19 13 39 Total 22 33 17 72 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are female.