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

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A test was given to a group of students. The grades and gender are summarized below A Male Female 2 B6 C Total 3 11 19 5 13 37 Total 21 11 16 48 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 certain disease has an incidence rate of 0.7%. If the false negative rate is 6% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places Question In how many ways can first, second, and third prizes be awarded in a contest with 405 contestants? Your answer is: Score: 1/9 1/9 answered Question < > From a group of 9 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group? Give your answer as a fraction Question 7 > You pick 2 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 2 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction. In a lottery game, a player picks six numbers from 1 to 28. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose $1. What is the expected value of this game? $ Suppose a jar contains 13 red marbles and 12 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. A test was given to a group of students. The grades and gender are summarized below A Male Female 2 B6 C Total 3 11 19 5 13 37 Total 21 11 16 48 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 certain disease has an incidence rate of 0.7%. If the false negative rate is 6% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease. Give your answer accurate to at least 3 decimal places Question In how many ways can first, second, and third prizes be awarded in a contest with 405 contestants? Your answer is: Score: 1/9 1/9 answered Question < > From a group of 9 people, you randomly select 3 of them. What is the probability that they are the 3 oldest people in the group? Give your answer as a fraction Question 7 > You pick 2 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 2 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction. In a lottery game, a player picks six numbers from 1 to 28. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose $1. What is the expected value of this game? $ Suppose a jar contains 13 red marbles and 12 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.