Skip to main content

Explain: Calculation of Estimate

This part is a straightforward application of the formula derived in part (a). We found that the Maximum Likelihood Estimate for λ\lambda is simply the sample mean kˉ\bar{k}.

To find the sample mean from a frequency table:

  1. Sum the products of the value and its frequency (k×countk \times \text{count}).
  2. Divide by the total number of observations (total cells).

The value λ0.929\lambda \approx 0.929 means that, on average, slightly less than 1 bomb fell in each grid square. The fact that many squares had 0 hits (229 of them) and some had 4 or 5 is characteristic of random scattering.