The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) : - for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) i 0.960 (b) P(X > 8) i 0.016 (c) P(5 < X < 9) i (d) P(X < 5 or X > 9) i (e) Determine x such that P(X < x) = 0.75. i

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) :
- for x > 1.
Determine the following (round all of your answers to 3 decimal places):
(a) P(X < 5) i 0.960
(b) P(X > 8) i 0.016
(c) P(5 < X < 9) i
(d) P(X < 5 or X > 9) i
(e) Determine x such that P(X < x) = 0.75. i
Transcribed Image Text:The diameter of a particle of contamination (in micrometers) is modeled with the probability density functionf(x) : - for x > 1. Determine the following (round all of your answers to 3 decimal places): (a) P(X < 5) i 0.960 (b) P(X > 8) i 0.016 (c) P(5 < X < 9) i (d) P(X < 5 or X > 9) i (e) Determine x such that P(X < x) = 0.75. i
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