Questions 6, 7, and 8 6. Applications of Probability (Contingency Table)NameGiving a test to a group of students, the grades and gender are summarized below:MaleATotalFemale 511 17B C=15 4310 7Total16 27 22 6522O. If one student was chosen at random, find the probability that the student got a B.27/65 0.4151. Find the probability65Note: show your answer as this example, original fraction and 3 places decimal.that the student got a C.0.3302. Find the probability that the student is a female.0.3233. Find the probability that the student is a female and made an A.5/454. Find the probability that the student is a male and made a C.DY16505. Find the probability that the student is a female or made an A.n3/146. Find the probability that the student is a male or made a C.7. Find the probability that the student got an A given the student is a female.8. Find the probability that the student got a C given the student is a male.1

Given data is A B C Total Male 11 17 15 43 Female 5 10 7 22 Total 16 27 22 65

Answered: 6. Find the probability that the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...

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An unbalanced coin weighted so that the probability of heads is 0.55. The coin is tossed ten times. a What is the probability of getting exactly 6 heads? b What is the probability of getting fewer than 3 heads?
Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).

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6. Find the probability that the student is a male or made a C. 7. Find the probability that the student got an A given the student is a female. 10/5/ 8. Find the probability that the student got a C given the student is a male. 15/4