A Statistics class has 85 students. 48 of these are females and 37 are males. A random sample of 11 students in the class is selected. Let X = the number of the selected students who are female. a. How many possible ways are there to select the 6 out of 11 students (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=1?

A test was given to a group of students. The grades and gender are summarized below   A B C Total Male 8 13 6 27 Female 11 14 3 28 Total 19 27 9 55 If one student is chosen at random from those who took the test,Find the probability that the student was male 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 18 5 8 31 Female 3 2 20 25 Total 21 7 28 56 If one student is chosen at random from those who took the test,Find the probability that the student got a 'B' GIVEN they are female.

A test was given to a group of students. The grades and gender are summarized below 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 'B'.

48% of all violent felons in the prison system are repeat offenders. If 44 violent felons are randomly selected, find the probability that   a. Exactly 18 of them are repeat offenders. Correct   b. At most 20 of them are repeat offenders. c. At least 19 of them are repeat offenders. d. Between 14 and 19 (including 14 and 19) of them are repeat offenders.

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 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.

61% of all violent felons in the prison system are repeat offenders. If 41 violent felons are randomly selected, find the probability that a. Exactly 24 of them are repeat offenders. b. At most 26 of them are repeat offenders. c. At least 22 of them are repeat offenders. d. Between 22 and 27 (including 22 and 27) of them are repeat offenders.

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.