Q2: The waiting time for service at a hospital emergency department (in hours) follows a distribution with probability density function f(x) = 0.5 et-0.5x) for x >0. Determine the following: a. P(X < 0.5) b. P(X > 2) c. Value x (in hours) exceeded with probability 0.05. d. Determine the cumulative distribution function and determine the probability that the waiting time is less than I hour.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q2: The waiting time for service at a hospital emergency department (in hours) follows a
distribution with probability density function f(x) 0.5 ef-0.5x) for x>0. Determine the
following:
a. P(X <0.5)
b. P(X > 2)
c. Value x (in hours) exceeded with probability 0.05.
d. Determine the cumulative distribution function and determine the probability that the waiting
time is less than I hour.
Transcribed Image Text:Q2: The waiting time for service at a hospital emergency department (in hours) follows a distribution with probability density function f(x) 0.5 ef-0.5x) for x>0. Determine the following: a. P(X <0.5) b. P(X > 2) c. Value x (in hours) exceeded with probability 0.05. d. Determine the cumulative distribution function and determine the probability that the waiting time is less than I hour.
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