Based on an analysis of sample data, an article proposed the pdf  f(x) = 0.25e−0.25(x − 1)  when  x ≥ 1  as a model for the distribution of  X = time (sec)  spent at the median line. (Round your answers to three decimal places.) (a) What is the probability that waiting time is at most 7 sec? More than 7 sec? at most 7 sec      P(X ≤ 7)  =    more than 7 sec      P(X > 7)  =

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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Based on an analysis of sample data, an article proposed the pdf 

f(x) = 0.25e−0.25(x − 1)

 when 

x ≥ 1

 as a model for the distribution of 

X = time (sec)

 spent at the median line. (Round your answers to three decimal places.)

(a) What is the probability that waiting time is at most 7 sec? More than 7 sec?
at most 7 sec      P(X ≤ 7)  =   
more than 7 sec      P(X > 7)  =   


(b) What is the probability that waiting time is between 4 and 9 sec?
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