Q12. The median of a random variable X is any value a for which P(X ≤ a) ≥ 1/2 and P(X ≥ a) ≥ 1/2. Now suppose that the arrival time X (in seconds) of tasks arriving into a server follows exponential distribution with parameter λ = 3. (a) Determine the median of X. Round your answer to 4 decimal places, if necessary. (b) Compare the median to the expectation of X. Which value is higher, given that e≈ 2.7183?

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A: A transmitter sends a signal at a frequency X. X is a random variable with a distribution U12,32.

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A: From the provided information, Vladimir rolls two six-sided dice. Total outcomes = 36

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A: Solution To find residual we will find equation of regression line.

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Q: Find the probability that the mean of this sample will be more than 130 between 120 and 125 between…

A: It is given that  Mean = 120 Standard deviation = 18 Sample size = 64

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Q: The state lottery board is examining the machine that randomly picks the lottery numbers. On each…

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Q: An internet research company surveyed 85 online shoppers, each of whom made one purchase today. The…

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Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 47)? OA.…

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Q: Compute for the standard deviation X f 0≤x≤ 6 6 6 < x < 12 8 12 ≤ x < 20 24 20<x< 30 7 30≤x≤40 3

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Q: 9. Given two independent variables X and Y with a uniform distribution between [1,3]. Yes W=max(XY),…

A: As per bartleby guidelines we can solve only first question and rest can be reposted

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Q: Compute for the total frequenc frequency 0x<2 9 2<z<4 21 4<<8 f 8≤x≤ 10

A: Given data: x Frequency 0-2 9 2-4 21 4-8 f 8-10 6

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Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Introduction: There are 2 girls, and 4 boys.

Q: Changes in airport procedures require considerable planning. Arrival rates of aircraft are important…

A: Solution-: Given :μ=5t=5 We want to find following probabilities  (a) P(exactly 4 small aircraft…

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Q: Given the table below, determine P(6 < W< 10). 3 6 12 P(W=w) 2k k² 0.8-3k ON 15 0.26

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Q: The average SAT score of students is 1110, with a standard deviation ≈ 120.   If a sample of n =…

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Q: 1- Voters in a particular city who identify themselves with one or the other of two political…

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Q: D=4, H1:8-9. show that the sequential probability ratio test can e statistic X2, with a=0.05 and…

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Q: b) Suppose we pick a random card from a full deck of 52 cards. Let S = {card is an Ace, two or three…

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Q: components in the assembly that meet specifications. X = number of compone ur answers to four…

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Q: Find the probability that exactly two of these residents were infected.

A: Here Given  Proportion of people infected with Covid -19 =p=0.22 No of Residents =n =8

Q: King 1. Suppose Google creates a new workspace in Toronto. The building operates with 1,200…

A: From the given information we find the solution.

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Q: Solve step by step in digital format An attempt is being made to traffic from Colombia to Mexico a…

A: Binomial distribution is a type of discrete probability distribution.