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Answer the 2 parts of the question attached as images.

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Step 1

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Step 2

a).

Let X is the life time of a light bulb follows an exponential distribution with mean 1000 hours.

The probability density function of an exponential distribution with the parameter is given below:

The mean of an expon... help_outlineImage Transcriptionclose1 P(x)exp =1000 300 1 P(x 300)=exp " c P(x>700) = [-exp 700 LL ר 300 e 700 300 1000 700 eo 1000 e -e 1-e-03 -0.7 = e =1-0.740 =0.496 =0.260 L fullscreen

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### Probability 