The number of defective components produced by a certain process in one day has a Poisson
distribution with mean of 20. Each defective component has probability of 0.60 of being
repairable.

(a) Find the probability that exactly 15 defective components are produced.
(b) Given that exactly 15 defective components are produced, find the probability that
exactly 10 of them are repairable.
(c) Let N be the number of defective components produced, and let X be the number of
them that are repairable. Given the value of N, what is the distribution of X?
(d) Find the probability that exactly 15 defective components are produced, with exactly 10
of them being repairable.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.