HWK3_324

f. Suppose the quality assurance employee is now going to look at 20 items from the shipment. They still believe it is reasonable to use a Binomial model (n=20, π = 0 . 15 ) to describe the number of items in those 20 that will have a defect. fi. What the the probability that exactly 5 of those 20 items have a defect? fii. What the the probability that 5 or more of those 20 items have a defect? fiii. Which histogram given below correctly shows the pdf for the binomial model described in f? par ( mfrow= c ( 2 , 2 ), mar= c ( 4 , 4 , 2 , 1 )) barplot ( names= 0 : 5 , dbinom ( 0 : 5 , 15 , prob= 0.85 ), xlab= "" , ylab= "Probability" , main= "Graph A" , space= 0 ) barplot ( names= 0 : 20 , dbinom ( 0 : 20 , 20 , prob= 0.85 ), xlab= "" , ylab= "Probability" , main= "Graph B" , space= 0 ) barplot ( names= 0 : 20 , dbinom ( 0 : 20 , 20 , prob= 0.15 ), xlab= "" , ylab= "Probability" , main= "Graph C" , space= 0 ) barplot ( names= 0 : 5 , dbinom ( 0 : 5 , 15 , prob= 0.15 ), xlab= "" , ylab= "Probability" , main= "Graph D" , space= 0 ) 0 1 2 3 4 5 Graph A Probability 0e+00 4e-06 0 2 4 6 8 11 14 17 20 Graph B Probability 0.00 0.10 0.20 0 2 4 6 8 11 14 17 20 Graph C Probability 0.00 0.10 0.20 0 1 2 3 4 5 Graph D Probability 0.00 0.10 0.20 par ( mfrow= c ( 1 , 1 ), mar= c ( 5.1 , 4.1 , 4.1 , 2.1 )) 3