For any probability density function, f(x), the entire area under the curve, f(x) must be equal to O 1. O 1/2. O F(x). 0.

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Q: Q6: Find the general solution of the following differential equation (D² + 2)y = x³ + x² +e-²x+cos3x

A: Solution :- Equation can be rewritten as :-y'' +2y=x3+x2+e-2x+cos3xA second order linear,…

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A: Mean(x)=25.8standard deviation(s)=4.4sample size(n)=5confidence interval=95%

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A: Given,claim: 41% of the college students used their ownincome or savings to pay for college .

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A: Please refer the attached image for complete solution.

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Q: The standard deviation of a continuous random variable is its expected value. O True O False

A: Given : The standard deviation of a continuous random variable is its expected value.

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Q: You randomly select and measure the contents of 10 bottles of cough syrup. The results (in fluid…

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Q: 1. Determine the midpoint of the segment with endpoints (-10,-11) and (8, –17).

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A: The given probability distribution table is,

Q: 4. In the Rundle fly lab we use both narrow and wider glass vials to house insects. A student in the…

A: NarrowMean = 5.725, SD = 0.368WideMean = 5.708, SD = 0.429DifferencesMean = 0.017, SD =…

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Q: 12. Suppose that Y~ N3(0, In). Find the m.g.f. of 2(Y₁Y₂ - Y₂Y3 - Y3Y₁). Hence show that this random…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Last year over 13,000 students took an entrance exam at a certain state university. Frank's score…

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A: Conservative Vector field: A conservative vector field F is a vector field  whose line integral…