Four electronic ovens that were dropped during shipment are inspected and classi
ID: 2923264 • Letter: F
Question
Four electronic ovens that were dropped during shipment are inspected and classified as containing either a major, a minor, or no defect. In the past, 64% of the dropped ovens had a major defect 329 had a minor defect and 4% had no defect. Assume that the defects on the our o ens occur independent . Round your answer to ur decimal places (e.g. 98.7654). (a) What is the probability that, of four dropped ovens, two have a major defect and two have a minor defect? (b) What is the probability that no oven has a defect? (c) What is the expected number of ovens with a major defect? (d) What is the expected number of ovens with a minor defect? &E;Explanation / Answer
a) from multinomial distribution probability =(4!/(2!*2!))*(0.64)2*(0.32)2 =0.2517
b) probability =(0.04)4 =0.00000256
c)expected number of ovens with a major defect =np=4*0.64=2.56
d)expected number of ovens with a minor defect =4*0.32=1.28
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