The lifespans of light bulbs are known to follow an exponential distribution. The exponential distribution, often denoted exp(β), is characterized by a single mean parameter β. The exponential distribution has a unique property that its standard deviation is equal to its mean. Suppose you order 100 light bulbs known to each have lifespans (in years) distributed according to exp(4). What is the probability that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)
The lifespans of light bulbs are known to follow an exponential distribution. The exponential distribution, often denoted exp(β), is characterized by a single mean parameter β. The exponential distribution has a unique property that its standard deviation is equal to its mean. Suppose you order 100 light bulbs known to each have lifespans (in years) distributed according to exp(4). What is the probability that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)
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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The lifespans of light bulbs are known to follow an exponential distribution. The
exponential distribution, often denoted exp(β), is characterized by a single mean
parameter β. The exponential distribution has a unique property that its standard
deviation is equal to its mean. Suppose you order 100 light bulbs known to each
have lifespans (in years) distributed according to exp(4). What is the probability
that the average lifespan of your 100 light bulbs exceeds 5 years? (Using R it possible)
Expert Solution
Step 1
In this case, the random variable is defined as "=average lifespan of 100 bulbs". Considering , the p.d.f is given as:
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