Question: Need help with this statistics question Suppose that a trucking company owns a large eet of well- maintained trucks and assume that breakdowns appear to
Need help with this statistics question

Suppose that a trucking company owns a large eet of well- maintained trucks and assume that breakdowns appear to occur at random times and follow Poisson distribution. The president of the company is interested in learning about the current daily rate (Mat which Ireakdowns occur. Assume daily breaks are independent. a. Assume the president observed the breakdowns in 7: consecutive days (x1, x2, . , xn). Derive the Maximum likelihood estimate of it. Show that l estimator is unbiased. What is the variance of 21 estimator? Show your work. What is the mean square error of (l estimator? Show your work Assume the number of breaks observed for 5 consecutive days are 3, 4, 2, 6, and 4 and they are independent, calculate the maximum likelihood estimate of current daily rate of breaks 92299\
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