إسأل معلم الرياضيات الآن

مصطفى حسين

مصطفى حسين

معلم الرياضيات

الأسئلة المجابة 41040 | نسبة الرضا 98.6%

علم الرياضيات

Defective Items A production process produces an...

تم تقييم هذه الإجابة:
Defective Items A production process produces an item. On average, 15% of all items produced are defective. Each item is inspected before being shipped, and the inspector misclassifies an item 10% of the time. What proportion of the items will be "classified as good"? What is the probability that an item is defective given that it was elassified as good?

إطرح سؤالك

إجابة الخبير: مصطفى حسين

مصطفى حسين

مصطفى حسين

معلم الرياضيات

الأسئلة المجابة 41040 | نسبة الرضا 98.6%

A production process produces an item. On average, 15% of all items produced are defective.
Each item is inspected before being shipped, and the inspector misclassifies an item 10% of the time
?"What proportion of the items will be "classified as good
P(classed as good) = 90% of Good + 10% of Bad = 0.9*0.85+0.1(0.15)= 0.78
0.78=(P(classed as good
? What is the probability that an item is defective given that it was classified as good
(defect | classgood) = p(defect AND classgood)/P(classgood) 
(0.1*0.15) /0.85 = 0.0176
defect | classgood) = 0.0176)

إسأل معلم الرياضيات

مصطفى حسين

مصطفى حسين

معلم الرياضيات

الأسئلة المجابة 41040 | نسبة الرضا 98.6%

  • 100% ضمان الرضا
  • انضم الى 8 مليون من العملاء الراضين
المحادثات تتم ضمن هذه البنود

في الأخبار