For each of the situations in parts (a) to (d), a student is choosing a probability distribution to model the quantity described.
The number of heads obtained when a fair coin is tossed 40 times. Name a suitable distribution, giving its parameters.
The heights of adult women living in a large town. Name a suitable type of distribution.
The number of cars passing a particular point on a quiet country lane in a randomly chosen one-minute interval. Explain why neither a binomial nor a normal distribution is a suitable model.
A student models the mass, in milligrams, of a grain of sand by N(0.6,0.42)N(0.6, 0.4^{2})N(0.6,0.42). Explain, with a supporting calculation, why this model is unsuitable.