Suppose now that you were going to estimate P(1 ≤ A ≤ 2) by approximating A with a standard normal random variable Z so that P(x₁ ≤ A ≤ x₂) ≈ P(²1 ≤ Z ≤2₂) Then the formula for Z in terms of A should be: iii. Z= Special Instruction: Do not apply any continuity correction

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 74E
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Suppose now that you were going to estimate P(x₁ ≤ A ≤ x2) by approximating A with a standard normal random variable Z so that
P(x₁ ≤A≤ x₂) ≈ P(21 ≤ Z <≤ 22)
Then the formula for Z in terms of A should be:
iii. Z=
Special Instruction: Do not apply any continuity correction
Transcribed Image Text:Suppose now that you were going to estimate P(x₁ ≤ A ≤ x2) by approximating A with a standard normal random variable Z so that P(x₁ ≤A≤ x₂) ≈ P(21 ≤ Z <≤ 22) Then the formula for Z in terms of A should be: iii. Z= Special Instruction: Do not apply any continuity correction
Consider rolling a 6-sided die (a "D6") and counting the number of rolls up to and including the first "1" that appears. Imagine repeating that experiment 40 times and let X be the
number of rolls taken on the j-th attempt.
Consider the average
A =
11/16 ( X ₁ + ... + +X40)
40
i. E(A)
ii. Var(A)
Transcribed Image Text:Consider rolling a 6-sided die (a "D6") and counting the number of rolls up to and including the first "1" that appears. Imagine repeating that experiment 40 times and let X be the number of rolls taken on the j-th attempt. Consider the average A = 11/16 ( X ₁ + ... + +X40) 40 i. E(A) ii. Var(A)
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