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The random variable x is known to be uniformly distributed between 1.5 and 2.0. (a) Show the graph of the probability density function. f(x) O 3 2 1 f(x) 3 2 1 0.5 0.5 (b) Compute P(x = 1.75). 1 1 (c) Compute P(1.5 ≤ x ≤ 1.75). (d) Compute P(1.6 < x < 2.0). 1.5 1.5 2 2 2.5 2.5 X X f(x) 3 2 1 f(x) 3 2 1 0.5 0.5 1 1.5 1 1.5 2 2 2.5 2.5 X X @

The random variable x is known to be uniformly distributed between 1.5 and 2.0. (a) Show the graph of the probability density function. f(x) O 3 2 1 f(x) 3 2 1 0.5 0.5 (b) Compute P(x = 1.75). 1 1 (c) Compute P(1.5 ≤ x ≤ 1.75). (d) Compute P(1.6 < x < 2.0). 1.5 1.5 2 2 2.5 2.5 X X f(x) 3 2 1 f(x) 3 2 1 0.5 0.5 1 1.5 1 1.5 2 2 2.5 2.5 X X @

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
Section13.1: Continuous Probability Models
Problem 21E
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The random variable x is known to be uniformly distributed between 1.5 and 2.0. (a) Show the graph of the probability density function. f(x) O 3 2 1 f(x) 3 2 0.5 0.5 (b) Compute P(x = 1.75). 1 1 (c) Compute P(1.5 ≤ x ≤ 1.75). (d) Compute P(1.6 < x < 2.0). 1.5 1.5 2 2 2.5 2.5 X f(x) 3 2 1 f(x) 3 2 1 0.5 0.5 1 1 1.5 1.5 2 2 2.5 2.5 X i
Transcribed Image Text:The random variable x is known to be uniformly distributed between 1.5 and 2.0. (a) Show the graph of the probability density function. f(x) O 3 2 1 f(x) 3 2 0.5 0.5 (b) Compute P(x = 1.75). 1 1 (c) Compute P(1.5 ≤ x ≤ 1.75). (d) Compute P(1.6 < x < 2.0). 1.5 1.5 2 2 2.5 2.5 X f(x) 3 2 1 f(x) 3 2 1 0.5 0.5 1 1 1.5 1.5 2 2 2.5 2.5 X i
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