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The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)=for 0 ≤ x ≤ 3 and F(x) = 1 for x > 3 a) What is the probability density function for X for 0 ≤ x ≤ 3? O f(x) = ² O f(x) = O f(x) = x2² =2/2/2 x² 27 O f(x) = ○ f(x) = b) What is the probability that X > 1.2? c) What is the probability X < 1.2 ? |

The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)=for 0 ≤ x ≤ 3 and F(x) = 1 for x > 3 a) What is the probability density function for X for 0 ≤ x ≤ 3? O f(x) = ² O f(x) = O f(x) = x2² =2/2/2 x² 27 O f(x) = ○ f(x) = b) What is the probability that X > 1.2? c) What is the probability X < 1.2 ? |

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 3 and F(x) = 1 for x > 3 O f(x) a) What is the probability density function for X for 0 ≤ x ≤ 3? O f(x) = O f(x) = = */²/²² O f(x) = ох ури от он ○ f(x) = حرر 27 b) What is the probability that X > 1.2? c) What is the probability X < 1.2 ?| d) What is the probability that X < 0 ? e) What is the probability that X > 2.2 ?
Transcribed Image Text:The amount of the product of a controlled laboratory experiment, has the following cumulative distribution function F: F(x) = 0 for x < 0 and F(x)= for 0 ≤ x ≤ 3 and F(x) = 1 for x > 3 O f(x) a) What is the probability density function for X for 0 ≤ x ≤ 3? O f(x) = O f(x) = = */²/²² O f(x) = ох ури от он ○ f(x) = حرر 27 b) What is the probability that X > 1.2? c) What is the probability X < 1.2 ?| d) What is the probability that X < 0 ? e) What is the probability that X > 2.2 ?
e) What is the probability that X > 2.2? f) What is the probability that X > 2.2 given that X > 1.2? g) Calculate the median of X. h) What is the expected value of X? i) What is the expected value of x²? j) What is the variance of X? k) What is the probability that X is more than 0.2 above its expected value?
Transcribed Image Text:e) What is the probability that X > 2.2? f) What is the probability that X > 2.2 given that X > 1.2? g) Calculate the median of X. h) What is the expected value of X? i) What is the expected value of x²? j) What is the variance of X? k) What is the probability that X is more than 0.2 above its expected value?
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