Parta) Consider the total lifetime of the two bulbs used consecutively in a light fitting, so that when the first bulb expires it is immediately replaced the second type. Evaluate the density function of this variable at the point 2.48, giving your answer to two decimal places. -1.169 Part b) If the mean lifetimes were equal, the total lifetime in (a) follows which type of distribution? A. Exponential B. Poisson C. Gamma OD. Normal E. Uniform

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The lifetimes (in months) of two types of lightbulbs are independent Exponential variables with means 1/1.50 and 1/0.55 respectively.
Part a)
Consider the total lifetime of the two bulbs used consecutively in a light fitting, so that when the first bulb expires it is immediately replaced by one of
the second type. Evaluate the density function of this variable at the point 2.48, giving your answer to two decimal places.
-1.169
Part b)
If the mean lifetimes were equal, the total lifetime in (a) follows which type of distribution?
A. Exponential
B. Poisson
C. Gamma
OD. Normal
OE. Uniform
Transcribed Image Text:The lifetimes (in months) of two types of lightbulbs are independent Exponential variables with means 1/1.50 and 1/0.55 respectively. Part a) Consider the total lifetime of the two bulbs used consecutively in a light fitting, so that when the first bulb expires it is immediately replaced by one of the second type. Evaluate the density function of this variable at the point 2.48, giving your answer to two decimal places. -1.169 Part b) If the mean lifetimes were equal, the total lifetime in (a) follows which type of distribution? A. Exponential B. Poisson C. Gamma OD. Normal OE. Uniform
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