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- The amount of time that a surveillance camera will run without having to be reset is a r.v. X having exponential distribution with = 50 days. Find the prob that such a camera (a) will have to be reset in less than 20 days. (b) will not have to be reset in at least 60 days.Suppose that X follows a lognormal distribution with w^2=4 and E(X)=10,000 a. Find the parameter theta for the distribution. Use 4 digits after the decimal point: b. Find the standard deviation of the process: Use 4 digits after the decimal point:Please help me find likelihood, log-likelihood and MLEs of two parameters, thank you.
- Let X1 and X2 be IID exponential with parameter > 0. Determine the distribution ofY = X1=(X1 + X2).Each day during peak demand period, additional generator turns on. It has max output=1400 watts. demand for this extra power is random, following an exponential distribution with mean of 200 watts. what is reliability for this generator over 7 days in meeting the peak demands?If a continuous RVX (> 0) possesses memoryless property, that is P(X>x+h)= P(X>x). P(X > h), then X follows an exponential distribution.
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