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: 5.1 #7

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

Q: 1o.e 4.60

A: trigonometry rule

Q: 10.0

A:

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A:

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A:

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A:

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A:

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A:

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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)