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Family 6

Continuous (exp / pdf) + binomial

These 3 topics share one solution. Spot the family, apply the method — same trick, different story.

How to spot this family

  • Radio tube, given pdf → integrate:The problem hands you a piecewise pdf directly (it does NOT say "exponential distribution"!) · Common form f(x)=c/x2f(x)=c/x^{2} for x>cx>c · b) Again a binomial with given p, asking for at most k
  • Mobile phone, exponential → binomial:"time ... having the Exponential distribution with mean m" · b) "a new model has probability p ... we have n of these" → switch to binomial
  • Surveillance camera, exponential → binomial:"time ... Exponential distribution with mean 50 days" · b) 16 new cameras, given p, at least 8

Topics in this family

Related knowledge points

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