In a game a die is thrown, and if 4, 5, or 6 comes up you win; otherwise for 1, 2, or 3 you lose. Find probability distribution, E(X) and Var(X).
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Q: how to get probability?
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A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)
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A: Given Observation and Calculation
Q: A and B are independent, P(A) = .5, P(B) = .5, Find the probability of the union of A, B
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A: probability-It deals with the chance of an event occurring.
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Q: A poker player has either good luck or bad luck each time she plays poker. She notices that if she…
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Q: the table below is the information about integrated circuit (IC) failure based on chip…
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Q: Suppose a gambler wins P50 if the sum of dots in a toss of a pair of fair dice is either 7 or 11,…
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Q: Find the probability of the indicated event if P(E)=0.25 and P(F)=0.45.
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A: Given PMF : X 2 3 4 P(X=X) 0.2 0.3 0.5 Sum of probabilities = 1
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Outcome when a die is thrown : {1,2,3,4,5,6}
4,5,6 is symbol of win
1,2,3 is symbol of lose
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- Probability of raining during the month of April in nyc is 0.33. What is the probability that it will rain 2 of the next 3 days ?A die is constructed so that a 1 or 2 occurs twice as often as a 5, and a 5 occurs three times as often as a 3, 4, or 6. If the die is tossed once, find (a) the probability distribution for each outcome. 1 2 3 4 p(x) (b) the probability the outcome is even. (c) the probability the outcome is greater than 4.Consider the situation that two events A and B are independent. P(A) = 0.2 and P(B)= 0.5. What is the probability that both events A and B occur?
- Two dice are rolled at the same time. Find the probability of each event listed when the probability is given as P(die 1, die 2). For example, if you want to know the probability that you roll a 3 on the first die and and a 5 on the second die, it would be written as P(3, 5). Give your answer as a decimal rounded to the thousandth place (three numbers after the decimal). P(1, 1) = P(both odd) P(even, odd): P(2 anywhere) = P(sum of 8) = P(sum of 1) =A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.2 and if she has bad luck one time, then she has good luck the next time with probability 0.4. What fraction of the time in the long run does the poker player have good luck?If the events A and B two disjoint even then P(AnB) =0.2 P(AnB) =0.6 II P(AnB) =0.8 .IV P(AnB) =1 %3D
- A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.6 and if she has bad luck one time, then she has good luck the next time with probability 0.55. What fraction of the time in the long run does the poker player have good luck?Give examples of real life application for the properties of probability.A game has a probability of winning of 0.6. A boy will play this game until he finally loses. What is the chance he will play exactly 4 times?
