A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?

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A: Given ,The die is four faced.So the possible outcomes are 1,2,3,4.Player has the probability of 0.7…

Q: 11. A game is played in which a four sided die is rolled. The player must then try to toss a ball…

A: Given,A game is played in which a four sided die is rolled.So possible outcomes are 1 , 2 , 3 ,…

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A: Given,n(U) = 380n(A) = 145n(B) = 70And = 50

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A: From the provided information,

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A:

Q: A and B play 12 games of chess, of which 6 are won by A, 4 are won by B, and 2 end in draw. They…

A: Given that  won games, won games, and  games ended in a draw, out of  games played.

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A: Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard…

Q: 1. What is the probability of the event "Today is not a holiday and there is a storm, but there is…

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A: Probability: A probability informs the happening of a trial in a study or observation. For example,…

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A: The provided information is as follows:The  is a random variable and has Gamma distribution.The…

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A: Please find the attachment below for clear explanation.

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A: Xj are iid Rayleigh random variables

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Q: 5. An insurance company has 10,000 automobile pol- icyholders. The expected yearly claim per policy-…

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A: Xi ~Ber(1/2) ; i=1,2,...,n

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A: Given the experiment of tossing n dice.

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A: It is assumed that x denotes the age of actress and y denotes the age of actress.The data for x and…

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A: A number cube is rolled three time.

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A: The probability density function of X f(x)=xe-x   x>00            OtherwiseFor calculating the…

Q: (a) A definition which captures the idea of a process getting stuck somewhere for ever. (b) A result…

A: (a) A definition which captures the idea of a process getting stuck somewhere for ever.b) A result…

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A: PartyYesNoTotalDemocrats1876193Republicans93138231Independents101Total281144425

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A: Before ImprovementWe calculate the Z-scores for the lower and upper limits:

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A: For any two disjoint events E and F.

Q: If p is the probability of Event 1 and (1 - p) is the probability of Event 2, for what values of p…

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Q: Suppose {X1, X2, …, X7, Y} are independent RVs. Each Xj is Rayleigh with mean  and Y = P(2) is…

A: The objective of the question is to find the expected value and variance of a Rayleigh distributed…

Q: 8.18. Let X be a binomial random variable with parameters n and p, which means that its mass…

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A: Given that is uniformly distributed on .

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A: The sample space Ω is given by:Ω={(1,1), (1,2), (1,3), (1.4), (1,5), (1,6), (2,1), (2,2), (2,3),…

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