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Family 3

Binomial + expected value

These 2 topics share one solution. Spot the family, apply the method — same trick, different story.

How to spot this family

  • Solar collectors, binomial + expected power:"N solar collectors, each has p% chance of failing" · a) at least k working · b) Y=aX−bX2Y=aX-bX^2, find E[Y] (kWh, rounded to an integer)
  • Production line, binomial + expected revenue:"n units per day, each has p% chance of being defective" · a) at least k non-defective · b) Y=aX+bX2Y=aX+bX^2, find E[Y]

Topics in this family

Related knowledge points

The concepts behind this family's method — brush up first if unsure.