1. SupposeX1,..., Xniid∼Exponential(λ) is a set of n observations drawn independently from an Exponential distribution.   (d) Set the score function equal to zero and solve for the parameterλ. (e) Take the second partial derivative of the score function. (f) Check to make sure this value is negative to ensure that the log-likelihood function is concave down.

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13. A standard logistic regression models the effect of age (20-29, 30-39, 40-49, 50-59, 60- 69) on experience of back pain (modeling yes vs. no). If age is included as a continuous covariate (with values 1, 2, 3, etc., as scores) and the regression parameter associated with age is estimated to be 0.21 with standard error of 0.08, what are the odds of backpain for a 35-year-old (e.g., in the 30-39 range) relative to the odds for a 25-year-old? Enter your answer to two numbers after the decimal place.

A company manufactures products in its factory in Turkey for sale in Asia. Products sold in different countries differ in terms of the power outlet as well as the language of the manuals. Currently, the company assembles and packs products for sale in individual countries. The distribution of weekly demand in different countries is normally distributed with means and standard deviations as shown in the table Assume that demand in countries to be independent. Given that the lead time from the Turkey factory is (X/4) weeks, how much safety inventory does the company require in Asia if it targets a CSL level of 95 percent?X= 96 b. The company builds a distribution center in Asia. It will ship base products to this center. When an order is received, the center will assemble power supplies, add manuals, and ship the products to the appropriate country. The base products are still to be manufactured in Turkey with the same lead time. How much saving of safety inventory can the company expect…