Good evening; I want to make sure I did the right thing; if you guys have time, please kindly do check my work.
Here's the problem:
-Random variable X comes with a probability of 0.3 from an exponential distribution with lamda=0.5 and with the remaining probability from an exponential distribution with lamda=0.25
-What is the probability that this random variable has a value larger than 5?
If this random variable has a value larger than 5, what is the probability that it comes from the first distribution (E(0.5)) and the second one(E(0.25))?
Here's what I did as a picture.
I appreciate your help!
Here's the problem:
-Random variable X comes with a probability of 0.3 from an exponential distribution with lamda=0.5 and with the remaining probability from an exponential distribution with lamda=0.25
-What is the probability that this random variable has a value larger than 5?
If this random variable has a value larger than 5, what is the probability that it comes from the first distribution (E(0.5)) and the second one(E(0.25))?
Here's what I did as a picture.
I appreciate your help!
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