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The continuous random variable X has a probability density function (pdf) given by (1-1/x f(x) = {1 - for 0≤ x ≤2 otherwise Part(a) Two independent observations of X are taken. Find the probability correct to 2 decima places that one is less than and the other is greater than 0.25 Part(b) Find E(√X), correct to 2 decimal places. 0.75 Part(c) Find E(X), correct to 2 decimal places. Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find P(X > +). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(f) Find the median of X. correct to 2 decimal places. 0.59

The continuous random variable X has a probability density function (pdf) given by (1-1/x f(x) = {1 - for 0≤ x ≤2 otherwise Part(a) Two independent observations of X are taken. Find the probability correct to 2 decima places that one is less than and the other is greater than 0.25 Part(b) Find E(√X), correct to 2 decimal places. 0.75 Part(c) Find E(X), correct to 2 decimal places. Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find P(X > +). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(f) Find the median of X. correct to 2 decimal places. 0.59

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.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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The continuous random variable X has a probability density function (pdf) given by for 0≤x≤2 otherwise f(x) = [1- 0 Part(a) Two independent observations of X are taken. Find the probability correct to 2 decima places that one is less than and the other is greater than 0.25 Part(b) Find E(√X), correct to 2 decimal places. 0.75 Part(c) Find E(X), correct to 2 decimal places. Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find P(X > 1). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(f) Find the median of X, correct to 2 decimal places. 0.59
Transcribed Image Text:The continuous random variable X has a probability density function (pdf) given by for 0≤x≤2 otherwise f(x) = [1- 0 Part(a) Two independent observations of X are taken. Find the probability correct to 2 decima places that one is less than and the other is greater than 0.25 Part(b) Find E(√X), correct to 2 decimal places. 0.75 Part(c) Find E(X), correct to 2 decimal places. Part(d) Find Var(X), correct to 2 decimal places. 0.22 Part(e) Find P(X > 1). Give your answer as a decimal, correct to 2 decimal places. 0.56 Part(f) Find the median of X, correct to 2 decimal places. 0.59
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Calculus For The Life Sciences
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ISBN:
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