p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1

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Q: Problem 8 Let X₁, X2,..., X₁, be i.i.d. random variables with = 1 and o² = 2. Let S = X₁ + + X₂ and…

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Q: a) Show that for any & > 0 and S₂ = ₁X₁, lim P(|S₁ − 0| ≥ ɛ) = 0. n n→∞

A: We will use Chebychev's inequality to find the limit of the given probability.

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Q: ball Team Selection A football team consists of 20 each freshmen and sophomores, 15 juniors, and 10…

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Q: π ). The pair (μ(π ), σ (π )) trace out a curve in the plane as π varies from 0 to 1. Plot this…

A: For x1 variable μ1 = 1 and σ1 = 0.1' For x2 variable μ2 = 0.8 and σ2 = 0.12 ρ = −0.8.   0.1

Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: Problem 7 A casino offers people the chance to play the following game: flip two fair coins. If both…

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Q: Suppose that the number of drivers who travel between a particular origin and destination during a…

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Q: 5. Suppose that the probability of a defect in a foot of magnetic tape is 0.002. Use the Poisson…

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Q: 7. Suppose that P (X≥ x) is given for a RV X (of the contineous type) for all x. Find the PDF in…

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Q: The data below shows the SAT scores of 30 students at Martin Luther King High School in Florida.…

A: Given: 1561 1554 1536 1531 1523 1518 1515 1511 1506 1500 1499 1493 1490…

Q: If the probability of an event not occurring is 0.55, what is the probability the event will occur?…

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Q: 6. DETAILS DEVORESTAT9 4.3.037.S. Suppose that blood chloride concentration (mmol/L) has a normal…

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Q: 4) The following two independent spinners were spun simultaneously 13 times. What is the probability…

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Q: 3. A waiter captain must allocate 24 tables among four waiters. In how many ways can he make this…

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Q: -) Let X₁, X2, X3,...,Xn be a random sample of n from population X distributed with the following…

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Q: a) Let X₁, X₂, X3, X30 be a random sample of size 30 from a population distributed with the…

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A: nPr=n!/[r!(n-r)!] r!=r(r-1)x..x3x2x1

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Q: construct the probability distribution for the random variable X which pertains to the number of…

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A: Given that  Mean = M = 62  Standard deviation = SD = 18 X ~ N( M = 62 , SD = 18 )

Q: nstruct the probability distribution for the random variable X which pertains to the number of heads…

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Q: Suppose that the heights of adult men in the United States are normally distributed with a mean of…

A: Given data isMean(μ)=69.5 inchesstandard deviation(σ)=3.5 inches

Q: 1. You are given P[AU B] = 0.7 and P[A U B'] = 0.9. Calculate P[A].

A: Given P(AUB)=0.70, P(AUB')=0.90  P(A)=?

Q: 3) A snack box contains 12 bags of potato chips and 14 bags of popcorn. Eight bags are picked at…

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Q: 4. Suppose that X and Y are random variables having the joint probability distribution y 2 1 3 5…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am solving…

Q: A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning…

A: Given Information: A number cube is rolled three times. An outcome is represented by a string of the…