Distribution of Lifetime of uorescent lamps is given by the following exponential distribution: "'5' x50 PlII '3) {0 otherwise where x represents the life in hours, and ,8 is the parameter of the above distribution. Data 11,172, .. .xnwas obtained from 'n' random samples. a. Determine the IVIL estimate of the parameter ,6 _ 1}. Determine the MAP estimate of the parameter ,8 if the prior distribution 4 on JlEa'is givenby: p(}=w 3:? 40000.5