Let X ∼ N(µ = 20.05, σ = 0.02). Find a. P(20.03 ≤ X ≤ 20.08), b. P(X ≤ 20.09).

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A: Given- Two portions of the interval 0, 1 given below. P1 = 0, 14, 12, 34, 1 and P2 = 0, 13, 12, 23,…

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A: Confidence interval is used to calculate an interval approximation of the value of descriptive…

Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

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Q: 2. Find the intervals for Z such that P(-z < Z < z) = a. 0.9886 b. 0.7372 c. 0.8354

A: Let z be the standard normally distributed random variable with mean 0 and standard deviation 1

Q: Find the value for z if P( z < Z < 2.63) = 0.4392.

A: The question is about standard normal distributionIntroduction :1 ) Let, Z is standard normal random…

Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: answer  is next step . as per guideline i can only answer 3 question .

Q: (h) P(1.26 ≤ Z ≤ 2.50) (1) P(1.90 ≤ Z) (1) P(|Z| ≤ 2.50)

A: It is given that the standard normal random variable Z with mean 0 and variance 1.   Note: The…

Q: In Exercises 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, classify the random variable X as finite, discrete…

A: We have to find values that X can take..

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Q: Use the table below to find the indicated values: X 3 6 9 13 f-¹(1) = f-¹(12) = f-¹(7) = 14 f(x) 1 4…

A: By using the table below to find f-11, f-112, and f-17. x 3 6 9 13 14 fx 1 4 7 12 16

Q: 2. Consider the graph of the function f(x) = va – 2 where x 2 2. 2.a. Identify whether the function…

A: We have to check continuity of the function

Q: Help pls: Suppose X ∼ Exp(λ). Find Var(X).

A: X~Exp(λ)

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