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The random variable x is known to be uniformly distributed between 20 and 30. (a) Show the graph of the probability density function. fin

The random variable x is known to be uniformly distributed between 20 and 30. (a) Show the graph of the probability density function. fin

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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(b) Compute P(x < 25). 0.5 (c) Compute P(23 < x < 25). 0.2 (d) Compute E(x). (e) Compute Var(x). (Round your answer to two decimal places.)
Transcribed Image Text:(b) Compute P(x < 25). 0.5 (c) Compute P(23 < x < 25). 0.2 (d) Compute E(x). (e) Compute Var(x). (Round your answer to two decimal places.)
3. DETAILS ASWSBE14 6.E.002.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The random variable x is known to be uniformly distributed between 20 and 30. (a) Show the graph of the probability density function. f(xX) fx) f(x) 0.2/ 0.2 0.2 0.15 0.15 0.15 The graph has a shaded area. The horizontal axis is labeled: x, and has tickmarks labeled: 10, 20, 30, 40, 50. The vertical axis is labeled: f(x), and has tickmarks labeled: 0.05, 0.1, 0.15, 0.2. The shaded area is the region bounded by the horizontal axis and the following line segments. 0.1 0.1 0.05 0.05 • A 0.05 unit long vertical line segment begins at 20 on the horizontal axis. • A 0.05 unit long vertical line segment begins at 30 on the horizontal axis. X • A 10 unit long horizontal line segment begins above the horizontal axis tickmark labeled 20 and to the right of the tickmark labeled 0.05 on the vertical axis. This line segment connects the two vertical line segments. 10 20 30 40 50 10 20 30 40 50 f(x) 0.2 0.15 0.1 0.05
Transcribed Image Text:3. DETAILS ASWSBE14 6.E.002.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The random variable x is known to be uniformly distributed between 20 and 30. (a) Show the graph of the probability density function. f(xX) fx) f(x) 0.2/ 0.2 0.2 0.15 0.15 0.15 The graph has a shaded area. The horizontal axis is labeled: x, and has tickmarks labeled: 10, 20, 30, 40, 50. The vertical axis is labeled: f(x), and has tickmarks labeled: 0.05, 0.1, 0.15, 0.2. The shaded area is the region bounded by the horizontal axis and the following line segments. 0.1 0.1 0.05 0.05 • A 0.05 unit long vertical line segment begins at 20 on the horizontal axis. • A 0.05 unit long vertical line segment begins at 30 on the horizontal axis. X • A 10 unit long horizontal line segment begins above the horizontal axis tickmark labeled 20 and to the right of the tickmark labeled 0.05 on the vertical axis. This line segment connects the two vertical line segments. 10 20 30 40 50 10 20 30 40 50 f(x) 0.2 0.15 0.1 0.05
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