there is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the sum is odd, then you get 1 point. If it is even, you lose one point. With this in mind, Is it better to draw with or without replacement to maximize your probability of winning?

Q: Suppose that the link speed is 8 Mbps, the demand bandwidth of each active user is 1000Kbps. The…

A: Solution: From the given information, the link speed is 8Mbps and the demand bandwidth is 1000Kbps.…

Q: A system consists of four components in parallel. System success requires that at least three of…

A:

Q: (a) A communication system consists of n components, each of which will independently function with…

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A: Given that The probability that a certain brand of floodlight will burn out within a year  =  0.001…

Q: From the batch of goods, 2% was drawn at random without returning 400 items. Using the Chebyshev…

A: Solution

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Q: A race-car driver wishes to insure his car for the racing season for $50,000. the insurance company…

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Q: Assume that the fisherman can use between 5 and 8 lines. With 5 lines, the probability of a catch on…

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Q: A company is hiring for an open position and has 'n' interviews set up, one per day. Each day, if…

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Q: nd the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order…

A: Number of ways of arranging 4 sticks will be: Total ways = 4!                 = 24

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Q: A graduating student keeps applying for jobs until she has three offers. The probability of getting…

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Q: ,Gotham police station has 5 special operation teams available for being assigned to 5 robberies in…

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Q: Suppose that you receive an imperfect signal about the condition of the economy and make a decision…

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Q: You are allowed to take a certain test three times, and your final score will be the maximum of the…

A: Let X be a discrete random variable with a range Rx={x1,x2,x3,....,xn} The function  PX(xk)=P(X=xk),…

Q: Even though you have no symptoms, your doctor withes to test you for a rare disease that only 1 in…

A: From the given information, P(positive| having disease)=98%. P(negative| having disease)=2%…

Q: 1. Out of 800 families having 4 children with the assumption that equal probabilities for boys and…

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Q: At a certain pizza parlor, 65% of the customers order a pizza containing onions, 61% Of the…

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Q: By the end of each academic year, students at the university will have either passed, failed or…

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Q: An online game simulates playing with cards dealt from a well-shuffled standard deck with…

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Q: A private pilot wishes to insure his airplane for $200,000. The insurance company estimates that a…

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Q: a coin is tossed four times. the probility of getting more than one tail is :

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Q: The CDC estimates that a non-infected person has a 10% chance of contracting mumps from an infected…

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Q: An exam in Microeconomics has 40 multiple answer questions and each of them has 4 possible answers,…

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Q: A sample of liquid has a 10% chance of containing a particular organic pollutant. Assuming that the…

A: The probability that a sample contains the pollutant (p) is 0.10. Sample size (n) = 20

Q: From experience, an airline knows that only  70%  of the passengers booked for a certain flight…

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Q: Alex has to travel from A to D changing buses at stops B and C enroute. The maximum waiting time at…

A: Alex has travel from A to D changing buses at stop B and C enroute. The maximum waiting time at…

Q: Marta likes to play two different lottery games.  The probability of winning the first game is 0.08,…

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Q: If the odds of catching the flu among individuals who take vitamin C is 0.0342 and the odds of…

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Q: A bank teller successfully completes 85% of all transactions and within four minutes and 26…

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Q: The probability of decreasing their separation  (b) The probability of increasing their separation…

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Q: One tree in the study had a weight that exceeded its expected weight (according to the best fit…

A: Let us consider an equation and try to fit this curve in that equation, Let the equation be,y =β0 +…

Q: A student will take an exam that lasts a maximum of one hour. The probability that the student…

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Q: It is equally probable that two signals reach a receiver at any instant of the time T. The receiver…

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Q: Four apples and four oranges are distributed between two boxes in such a way that each of them has…

A: Given Data: n(apples)=4 n(oranges)=4   Xn is the number of apples in first box

Q: A basketball team is down by 2 points with only a few seconds remaining in the game. There is a 50%…

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Q: The probabihity of winning a prize in a game of chance is 0.48. What is the least number of games…

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Q: To increase the response rate to mail questionnaires, researchers sometimes give monetary incentives…

A: Hypothesis testing:            Hypothesis testing helps us to get clear idea about the decision…

Q: Two drunk start out together at the origin, each having the equal probability of making a step to…

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Q: A mail order company has an 8% success rate. If it mails advertisements to 562 people, find the…

A: Here we need to use normal approximation to the binomial distribution.