Solve it correctly please. I will rate accordingly. Example 2e: Find the probabilitythat in tossing a fair coin threetimes there will appear (a) 3 heads(b) 2 tails and 1 head (c) at least 1head (d) not more than 1 tail?

A random variable x will follow the binomial distribution if there are total n number of fixed…

Answered: Example 2e: Find the probability that…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 5ECP: In Example 5, what is the probability that an institution selected at random is in the Pacific...

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In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?
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.
In Example 10, researchers selected five people at random from the population. What is the probability that all five people expected much of the workforce to be automated within 50 years?
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).
(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-
In Example 5, what is the probability that an institution selected at random is in the Pacific region?
a. You toss three coins. What is the probability that all three land tails up? b. You draw one card at random from a standard deck of 52 playing cards. What is the probability that it is a diamond?

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Example 2e: Find the probability that in tossing a fair coin three times there will appear (a) 3 heads (b) 2 tails and 1 head (c) at least 1 head (d) not more than 1 tail?