Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 16 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females? (A) The probability of selecting 3 females and 2 males is approximately (Type a decimal. Round to three decimal places.) (B) The probability of selecting 4 females and 1 male is approximately (Type a decimal. Round to three decimal places.) (C) The probability of selecting 5 females is approximately (Type a decimal. Round to three decimal places.) (D) The probability of selecting at least 4 females is approximately

Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 16 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females? (A) The probability of selecting 3 females and 2 males is approximately (Type a decimal. Round to three decimal places.) (B) The probability of selecting 4 females and 1 male is approximately (Type a decimal. Round to three decimal places.) (C) The probability of selecting 5 females is approximately (Type a decimal. Round to three decimal places.) (D) The probability of selecting at least 4 females is approximately

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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The question I need help with is attached below. Thanks.

Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for 5 positions. If the 5
positions are filled at random from the 16 finalists, what is the probability of selecting
(A) 3 females and 2 males?
(B) 4 females and 1 male?
(C) 5 females?
(D) At least 4 females?
(A) The probability of selecting 3 females and 2 males is approximately
(Type a decimal. Round to three decimal places.)
(B) The probability of selecting 4 females and 1 male is approximately
(Type a decimal. Round to three decimal places.)
(C) The probability of selecting 5 females is approximately
(Type a decimal. Round to three decimal places.)
(D) The probability of selecting at least 4 females is approximately

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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).