Q 8.3. Suppose Z₁, Z2 and Z3 are independent standard (univariate) normal random variables. Which of the following have a x²-distribution (and for these identify the degrees of freedom)? (Hint: you should not have to do a lot of calculations.) (a) (Z₁ - 2Z2 + Z3)²/6 + (Z₁ − Z3)²/2 (b) (Z₁ + Z2 + Z3)²/3 (c) (Z₁ + Z₂)²/2

Q: 3.3 31 3 O 3 O 3평 37

A:

Q: 5. 8. 45°

A: Solve for value x

Q: 4. 3. 4, 8.

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Q: 8. 8. 3/ 2.

A:

Q: 14. 10 19

A: 14 Consider the sine angle property is, sinx=perpendicularhypotenuse

Q: 5.1 #7

A: Given that                  A=60-1054-403-3502-425, λ=5

Q: 1o.e 4.60

A: trigonometry rule

Q: 2. 6. 1.

A:

Q: 6.2.15. By using expressions $(6.2 .21)$ and $(6.2 .22)$, obtain the result for the one-step…

A: Given: The result that includes the one-step estimate is determined as below,

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A:

Q: N. 15 12

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Q: 11. 10 22

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Q: 196. 2(n+1)

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Q: 18. 32 13

A:

Q: 14.

A: I have used theorem for circle

Q: Find the value of x.

A: This can be solved using geometry and trigonometry rule.

Q: 14. 115"

A:

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Q: %3D 6.

A: Please see the explanation below

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Q: 29 14

A: It's trigonometric question so I'm providing hand written solution for better understanding.

Q: 2.3 1/p; (1-P)/p².

A: X~geom(p)

Q: Find the circumference of each circle. Leave your answer in terms of T.

A: The circumference of a circle with radius r is 2πr.

Q: MAT

A: Graphical representation:

Q: -3 -10

A: The given equation is:  -3   2÷-10    7