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Chapter 2 Practice question 2.10

A

AGM

Active Member
Can someone please explain the part iii. of this question.
I'm unable to understand why 1 is added to m_k equation.
 
Hello

The 1 relates to each new week going by. So, for example, if we have 10 chapters currently finished, then:

m_10 = 1 + 0.75m_11 + 0.25*m_10

The 1 denotes the week of time passing. After that week we have either completed another chapter, with probability 0.75, and so the remaining expected time is m_11, or we haven't, with probability 0.25 and so the remaining expected time is still m_10.

Hope this helps!

Andy
 
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