CT4 April 2009 Question 8

Discussion in 'CS2' started by Jia Syuen, Sep 11, 2022.

  1. Jia Syuen

    Jia Syuen Very Active Member

    Hi there,

    For question b)
    mu_{ij}=\frac{i(10-i)}{90}\mu for j=i+1, i=1,2,...9

    May I know where the '90' comes from? Thanks in advance.
     
  2. Andrew Martin

    Andrew Martin ActEd Tutor Staff Member

    Hi Jia

    The number of possible pairings that could result in a new infection is i * (10 - i). The total number of possible pairings is 10C2 = 45. When a pairing occurs that could result in a new infection, a new infection only occurs 50% of the time. So we have that the probability of a new infection is given by: i * (10-i) / 45 * 0.5 = i * (10-i) / 90.

    Hope this helps!
     

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