Slow down here a minute here, Einstein. You seem to be referring to the Exponential Distribution with probability density function (PDF) P(x) = λe^(−λx) and a cumulative density function (CDF) P(X≤x) = 1 − e^(−λx).
First of all, you need to fix your CDF.
P(T≥2)=e−25=0.6703 should be
For λ=5, P(T≥2)=e^(-2/5)=0.6703.
Secondly, you need to tell theGypsySailor that the PDF is needed to compute the probability of a product breakdown exclusively in the third year. Otherwise, he will be subtracting P(T≥4) from P(T≥3).
With these corrections, I think you are good to go with your problem. Just don't be like that asshole math teacher that the post is complaining about.
IIN that my maths teacher wants our class to fail
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Slow down here a minute here, Einstein. You seem to be referring to the Exponential Distribution with probability density function (PDF) P(x) = λe^(−λx) and a cumulative density function (CDF) P(X≤x) = 1 − e^(−λx).
First of all, you need to fix your CDF.
P(T≥2)=e−25=0.6703 should be
For λ=5, P(T≥2)=e^(-2/5)=0.6703.
Secondly, you need to tell theGypsySailor that the PDF is needed to compute the probability of a product breakdown exclusively in the third year. Otherwise, he will be subtracting P(T≥4) from P(T≥3).
With these corrections, I think you are good to go with your problem. Just don't be like that asshole math teacher that the post is complaining about.
More info is available at Wikipedia.com