poisson distribution chapter assessment solutions
. Use a continuity correction: \[ P(14.5 < X < 15.5) \] Convert to standard normal: \[ Z = \frac{X - \mu}{\sqrt{\lambda}} = \frac{15 - 14.5}{\sqrt{14.5}} \approx \frac{0.5}{3.807} \approx 0.131 \] Similarly for 14.5: \[ Z = \frac{14.5 - 14.5}{3.80