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(b) Given X₁, X₂ Exp(1), Y Exp(2), also X₁, X₂, Y are all independent, what distribution does the RV Z = X+X follow? (Your result should be things like "it follows a normal distribution with parameters μ = 0 and o² = 1.") (Hint: HW8 Q6(a) may help.)

(b) Given X₁, X₂ Exp(1), Y Exp(2), also X₁, X₂, Y are all independent, what distribution does the RV Z = X+X follow? (Your result should be things like "it follows a normal distribution with parameters μ = 0 and o² = 1.") (Hint: HW8 Q6(a) may help.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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(a) Assume the sample variances to be continuous measurements. Find the proba- bility that a random sample of 25 observations, from a normal population with variance o² = 6, will have a sample variance S² (with resolution 0.01) i. Greater than 9.1 ii. Between 3.462 and 10.745 (b) Given X₁, X₂ ~ Exp(1), Y Exp(2), also X₁, X2, Y are all independent, what distribution does the RV Z = X+X follow? (Your result should be things like "it AY follows a normal distribution with parameters μ = 0 and o² = 1.") (Hint: HW8 Q6(a) may help.)
Transcribed Image Text:(a) Assume the sample variances to be continuous measurements. Find the proba- bility that a random sample of 25 observations, from a normal population with variance o² = 6, will have a sample variance S² (with resolution 0.01) i. Greater than 9.1 ii. Between 3.462 and 10.745 (b) Given X₁, X₂ ~ Exp(1), Y Exp(2), also X₁, X2, Y are all independent, what distribution does the RV Z = X+X follow? (Your result should be things like "it AY follows a normal distribution with parameters μ = 0 and o² = 1.") (Hint: HW8 Q6(a) may help.)
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