a. Compute the probability that a randomly selected bulb will last less than 2,100 hours. b. Compute the probability that a randomly selected bulb will last more than 1800 hours. c. Compute the probability that a randomly selected bulb will last between 1,500 and 2,200 hours. d. Compute the standard deviation of this distribution.
a. Compute the probability that a randomly selected bulb will last less than 2,100 hours. b. Compute the probability that a randomly selected bulb will last more than 1800 hours. c. Compute the probability that a randomly selected bulb will last between 1,500 and 2,200 hours. d. Compute the standard deviation of this distribution.
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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DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. Answer the following questions, performing all computations with Excel
Transcribed Image Text:DLP projectors are used in the majority of cinema projection systems and require a special light bulb to display a picture. Assume that the average life of a DLP bulb is 2,000 hours and that this failure time follows the exponential distribution. Answer the following questions, performing all computations with Excel functions:
a. Compute the probability that a randomly selected bulb will last less than 2,100 hours.
b. Compute the probability that a randomly selected bulb will last more than 1,800 hours.
c. Compute the probability that a randomly selected bulb will last between 1,500 and 2,200 hours.
d. Compute the standard deviation of this distribution.
Expert Solution
Step 1
Let X be the failure time follows the exponential distribution.
X~Pois(1/2000)
Mean=rate=2000
(a) P(X<2100)=?
(b) P(X>1800)=?
(c) P(1500<X<2200)=?
Note: According to Bartleby guidelines expert solve only one question and maximum three subpart of the first question and rest can be reposted.
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