Answer 4 and 5 QI/n the blank.1- Events A and B are independent events and P[A|B] = 0.3. P[A] is2- The sample mean and sample Variance of the following data are79143- Events C and D are mutually exclusive and P[C] = 3P[D]. P[D] is4- ANA =5- We have two crates. The first crate has 2 white birds and a black bird and the second crate has 3 whitebirds and two black birds. If a crate is chosen at random and a bird drawn. The probability that it is awhite bird is

here use basic of set theory for question 4 And use tree diagram for the question 5

Answered: 4- 5- We have two crates. The first…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 68E

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Dividing a JackpotA game between two players consists of tossing a 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 8,000 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 Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.
(a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-
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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4- 5- We have two crates. The first crate has 2 white birds and a black bird and the second crate has 3 white birds and two black birds. If a crate is chosen at random and a bird drawn. The probability that it is a white bird is