Question: 2. Independently , random samples Vil . .... Vin of machine lifetimes are collected for i = 1 . ... K. The lifetimes of machines

2. Independently , random samples Vil . .... Vin of machine lifetimes are collected for i = 1 . ... K. The lifetimes of machines from group & were tested under temperature { ; . The model is that machines tested under temperature I ; are exponentially distributed with rate` `;. Note that in contrast to the usual setting the I; are fixed constants . The observations are the Vij. ( a ) Derive the log likelihood for the model . ( b ) Obtain an expression for the MILE Of A . ( c ) Obtain an expression for the standard error ( estimated approximate satudard deviation ) of``

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