Moderate -0.8 This is a straightforward normal approximation to binomial question requiring only standard technique: identify n=200, p=0.54, check conditions, apply continuity correction for P(X≥101), and calculate a z-score. It's routine A-level statistics with no conceptual challenges, making it easier than average but not trivial due to the multi-step calculation.
In a town, 54% of the residents are female and 46% are male. A random sample of 200 residents is chosen from the town. Using a suitable approximation, find the probability that more than half the sample are female.
[4 marks]
In a town, 54% of the residents are female and 46% are male. A random sample of 200 residents is chosen from the town. Using a suitable approximation, find the probability that more than half the sample are female.
[4 marks]
\hfill \mbox{\textit{SPS SPS FM Statistics 2021 Q4 [4]}}