Homework Help is Here – Start Your Trial Now!
Math
Probability
An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. 9- 1 F(x; 8, r) = otherwise (a) Graph f(x; 6, 80) for the three cases 8 = 3, 1, and 0.5 and comment on their shapes. f(x) fox) f(x) 0.05 0.04 0.05 8= 0.5 0.050= 0.5 0= 0.5 0.04 0.04 0.03 0.03 0.03 e= 3 8= 3 8= 3 0.02 0.02 0.02 =1 0=1 0.01 0.01 0.01 20 40 60 80 20 40 60 20 40 60 80 f(x) 0.05 = 0.5 0.04 0.03 = 3 0.02 0.01 20 40 60 80 (b) Obtain the cumulative distribution function of X. -1)-1 -(1-주)이 F(x) %3D 0

An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. 9- 1 F(x; 8, r) = otherwise (a) Graph f(x; 6, 80) for the three cases 8 = 3, 1, and 0.5 and comment on their shapes. f(x) fox) f(x) 0.05 0.04 0.05 8= 0.5 0.050= 0.5 0= 0.5 0.04 0.04 0.03 0.03 0.03 e= 3 8= 3 8= 3 0.02 0.02 0.02 =1 0=1 0.01 0.01 0.01 20 40 60 80 20 40 60 20 40 60 80 f(x) 0.05 = 0.5 0.04 0.03 = 3 0.02 0.01 20 40 60 80 (b) Obtain the cumulative distribution function of X. -1)-1 -(1-주)이 F(x) %3D 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
See similar textbooks
icon
Related questions
Question

I need help with section B, C and D

An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. Osx<T F(x; 8, 1) = otherwise (a) Graph f(x; 8, 80) for the three cases 8 = 3, 1, and 0.5 and comment on their shapes. f(x) f(x) f(x) 0.05 8 = 0.5 0.05 = 0.5 0.05 8 = 0.5 0.04 0.04 0.04 0.03 0.03 0.03 8= 3 8= 3 8= 3 0.02 0.02 0.02 8-1 8=1 0.01 0.01 0.01 20 40 60 80 20 40 60 80 20 40 60 80 f(x) 0.05 0= 0.5 0.04 0.03 0.02 0.01 20 40 60 80 (b) Obtain the cumulative distribution function of X. F(x) = 1- 0 <x<T (c) Obtain an expression for the median of the waiting time distribution. u= T(1- 0.5) ° (d) For the case 8 = 3, 1 = 80, calculate P(40 sXs 70) without at this point doing any additional integration. (Round your answer to four decimal places.) 0.2421
Transcribed Image Text:An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. Osx<T F(x; 8, 1) = otherwise (a) Graph f(x; 8, 80) for the three cases 8 = 3, 1, and 0.5 and comment on their shapes. f(x) f(x) f(x) 0.05 8 = 0.5 0.05 = 0.5 0.05 8 = 0.5 0.04 0.04 0.04 0.03 0.03 0.03 8= 3 8= 3 8= 3 0.02 0.02 0.02 8-1 8=1 0.01 0.01 0.01 20 40 60 80 20 40 60 80 20 40 60 80 f(x) 0.05 0= 0.5 0.04 0.03 0.02 0.01 20 40 60 80 (b) Obtain the cumulative distribution function of X. F(x) = 1- 0 <x<T (c) Obtain an expression for the median of the waiting time distribution. u= T(1- 0.5) ° (d) For the case 8 = 3, 1 = 80, calculate P(40 sXs 70) without at this point doing any additional integration. (Round your answer to four decimal places.) 0.2421
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Section D 

An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. e - 1 f(x; 8, 7) = otherwise ULDL (a) Graph f(x; 0, 80) for the three cases e = 3, 1, and 0.5 and comment on their shapes. f(x) f(x) f(x) f(x) 0.05 A 0 = 0.5 0.05 0 = 0.5 0.05 A 0 = 0.5 0.05 e = 0.5 0.04 0.04 0.04 0.04 0.03 0.03 0.03 0.03 0 = 3 0 = 3 0 = 3 0 = 3 0.02 0.02 0.02 0.02 0 = 1 0 = 1 0 = 1 8 = 1 0.01 0.01 0.01 0.01 20 40 60 80 20 40 60 80 20 40 60 80 20 40 60 80 (b) Obtain the cumulative distribution function of X. XS0 -(1-)° F(x) = 0 <x<T 1. TSX (c) Obtain an expression for the median of the waiting time distribution. %3D -0.5 (d) For the case e = 3, 1 = 80, calculate P(40 SXS 70) without at this point doing any additional integration. (Round your answer to four decimal places.) 0.1231
Transcribed Image Text:An article suggested that under some circumstances the distribution of waiting time X could be modeled with the following pdf. e - 1 f(x; 8, 7) = otherwise ULDL (a) Graph f(x; 0, 80) for the three cases e = 3, 1, and 0.5 and comment on their shapes. f(x) f(x) f(x) f(x) 0.05 A 0 = 0.5 0.05 0 = 0.5 0.05 A 0 = 0.5 0.05 e = 0.5 0.04 0.04 0.04 0.04 0.03 0.03 0.03 0.03 0 = 3 0 = 3 0 = 3 0 = 3 0.02 0.02 0.02 0.02 0 = 1 0 = 1 0 = 1 8 = 1 0.01 0.01 0.01 0.01 20 40 60 80 20 40 60 80 20 40 60 80 20 40 60 80 (b) Obtain the cumulative distribution function of X. XS0 -(1-)° F(x) = 0 <x<T 1. TSX (c) Obtain an expression for the median of the waiting time distribution. %3D -0.5 (d) For the case e = 3, 1 = 80, calculate P(40 SXS 70) without at this point doing any additional integration. (Round your answer to four decimal places.) 0.1231
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS