Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 35 years is selected from this population. What is the probability that the mean gain for the sample was between 500 and 800? Assume a = 1541. The probability is (Round to four decimal places as needed.)

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A:

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A: n=15 p = 0.45

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A: It is given that the standard well-shuffled deck of 52 playing cards.Number of jacks = 4

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Q: how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .

A:

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A: Regression equationY=0.86x+3.93

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A: f(x,y)= 1 ; 0&lt; x&lt;1, 0&lt; y&lt;2x

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A: Since the number of trials (n = 5000) is very large we can use normal approximation using Central…

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A: We have given thatn = 914x = 556confidence level (c) = 0.95

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A: A manufacturer of headache medicine claims that it is 70% effective within a few minutes i.e.., out…

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A: Cov(X,Y)=E(XY)-E(X)E(Y)corr(X,Y)=Cov(X,Y)V(X)V(Y)

Q: How many elements does it contain?  I forgot to add that part.

A: From the above part we haven(C) = n(B) ={ (1,4),(4,1),(2,3),(3,2) }n(CB) = { (2,3),(3,2) }

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A: A drawer contains four black, six brown, and eight olive socks. Two socks were selected at random…

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A: Given data:

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A: 593, 812, 577, 605, 348, 1286, 405, 544, 555, 680.

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A: It is given that, .

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A: It is given that P(A) = 0.6P(B/A) = 0.9P(B/A') = 0.5

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Q: In how many ways can two rotten apples be chosen?

A: It is given that Rotten apples = 2Rest apples = 15Total apples = 17

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A: A box contains:We draw balls simultaneously, without replacement from the box.

Q: 4. Suppose that X is a random variable taking just two possible values {a, b}, where P(X = a) = 1-p…

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A: X~Pois(λ)

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A: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips.

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Q: 8. Help plz

A: The number of requests that arrive at a server has Poisson distribution with an average of 6000…