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A parabolic satellite dish reflects signals to the dish's focal point. An antenna designer analyzed signals transmitted to a satellite dish and obtained the probability density function f (x) = c(1 - 6x²) for 0< x < 1, where x is the distance (in meters) 16 from the centroid of the dish surface to a reflection point at which a signal arrives. Determine the following: (Round your answers to two decimal places (e.g. 9.87).) (a) Value of c that makes f (x) a valid probability density function C = i (b) P(X ≤ 0.3) = i (c) P (0.1 < X < 0.3) = i

A parabolic satellite dish reflects signals to the dish's focal point. An antenna designer analyzed signals transmitted to a satellite dish and obtained the probability density function f (x) = c(1 - 6x²) for 0< x < 1, where x is the distance (in meters) 16 from the centroid of the dish surface to a reflection point at which a signal arrives. Determine the following: (Round your answers to two decimal places (e.g. 9.87).) (a) Value of c that makes f (x) a valid probability density function C = i (b) P(X ≤ 0.3) = i (c) P (0.1 < X < 0.3) = i

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A parabolic satellite dish reflects signals to the dish's focal point. An antenna designer analyzed signals transmitted to a satellite dish and obtained the probability density function f (x) = c(1 - 6x²)+ for 0< x < 1, where x is the distance (in meters) 16 from the centroid of the dish surface to a reflection point at which a signal arrives. Determine the following: (Round your answers to two decimal places (e.g. 9.87).) (a) Value of c that makes f (x) a valid probability density function C = i (b) P(X ≤ 0.3) = i (c) P (0.1 < X < 0.3) = i
Transcribed Image Text:A parabolic satellite dish reflects signals to the dish's focal point. An antenna designer analyzed signals transmitted to a satellite dish and obtained the probability density function f (x) = c(1 - 6x²)+ for 0< x < 1, where x is the distance (in meters) 16 from the centroid of the dish surface to a reflection point at which a signal arrives. Determine the following: (Round your answers to two decimal places (e.g. 9.87).) (a) Value of c that makes f (x) a valid probability density function C = i (b) P(X ≤ 0.3) = i (c) P (0.1 < X < 0.3) = i
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