In Exercise 5.42, the number of defects per yard in a certain fabric, Y , was known to have a Poisson distribution with parameter . The parameter was assumed to be a random variable with a density function given by f () = e, 0, 0, elsewhere. a Find the expected number of defects per yard by first finding the conditional expectation of Y for given . b Find the variance of Y . c Is it likely that Y exceeds 9?

Introduction: Conducting a Research Observational study: without attempting to influence the value of response or explanatory variables. Observes behavior. Designed Experiment Study: assigns to a certain group of individuals intentionally changes value of explanatory variable and records the value of the response variable of each group. Population: entire group of individuals to be studies...