8. Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the probability P(X ≤70) based on the corresponding hypergeometric distribution and approximate normal distribution. Is the normal approximation reasonable?

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A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

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Q: 1) If X~ N(100,49), find the probability P(X> 107)

A: X~N( μ , ?2 )   μ=100 , ?2 =49  , ?=7   Z-score =( x - μ )/?

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Q: (c) When is this distribution used in the real world?

A: The Weibull distribution is commonly used in the real world to model failure times of components,…

Q: 1) IfX~B(10,0.7), find the probability for P(X=5)

A: Answer: From the given data, X ~ B(10, 0.7) X is a binomial random variable with parameters n = 10…

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A: From the provided information, Hours Unsupervised (x) Overall grades (y) 0 99 0.5 98 2 96…

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A: To find the first quartile, we need to first sort the list of numbers in ascending order: 6 15 31 43…

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A: normal distributionμ = 30σ = 3P(22.4<x<33.5) = ?

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A: Here given that Hooman plays toss coin . For each toss of coin there are two possible outcomes head…

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A: The geometric Brownian motion follows the stochastic differential equation: dXt=μXtdt+σXtdWt where…

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A: Answer: From the given data, X is a binomial random variable Number of trails (n) = 8 Probability of…

Q: An example of two mutually exclusive events from a standard deck of cards A. Aces and spades…

A: Mutually exclusive event:  An event is said to be mutually exclusive event of A⋂B =Φ, which means…

Q: Question 10 A catalog company administered a survey to determine how long customers were willing to…

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Q: The following refer to the following data set: 102 76.1 85.6 92.5 86.8 84.4 63.6 102 102 78.9 What…

A: The data is 102, 76.1, 85.6, 92.5, 86.8, 84.4, 63.6, 102, 102, and 78.9.

Q: (100, 15), what is probability that the mean IQ of 9 randomly selected people will be below 105?

A: X~N(M=100, S=15), n=9

Q: 12. Let X and Y have the joint probability density function f(x, y) = if 0 ≤ x ≤ 1, 0 ≤ y ≤ 1…

A:

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A: As per our guidelines we are suppose to answer only three sub parts. P(more than a 1 hour commute)

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A: Suppose that a random number generator produces real numbers that are uniformly distributed between…

Q: During February 2019, the major U.S. airline with the fewest delays was Delta: 78.5% of their…

A: During February 2019, the major U.S. airline with the fewest delays was Delta: 78.5% of their…

Q: Poisson process] Could u please find the probability of {N4 = N6 = 5} using the same formatof the…

A: Here, we have to find the probability of {N4 = N6 = 5} using the same formation the given solution…

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A: The given data is as follows:   Number of Heads       Preference 2 19 20 10 3 Ist T L H T F…

Q: Suppose events E and F and mutually exclusive, with P (F) = 0.48 and P(E U F) = 0.56. Calculate the…

A: Here Given  events E and F and mutually exclusive, with P (F) = 0.48 and P(E U F) = 0.56.

Q: According to the data released by the Las Vegas Convention and Visitors Authority, each of the…

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A: A bowl has 27 Red M&M  & 32 green. Total =27+32=59

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A: Ville and Kalle ride separate buses to the city center in order to meet. Their buses start at the…

Q: (c) Consider a normal random variable X of unknown mean #x and a normal rando variable y with known…

A:

Q: Q2: Calculate the 10th term for a probability of success of 0.5 if the probability has Pascal PMF,…

A: To find the 10th term for a probability of success of 0.5 using Pascal PME when m=3, we can use the…

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A: Stock  Industry Year 1 Quantity Year 1 Base January Year 3 March Year 3 A Oil 100 29.5 24.75 22.5…

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A: The weights of the chocolate muffins are normally distributed with a mean of 62 g and standard…

Q: Suppose we want to choose 5 objects, without replacement, from 9 distinct objects. (a) If the order…

A: Solution-: Given: Number of distinct object =9 Selected objects (without replacement)=5 We want to…