Forty percent of seeds from maize ears carry single spikelets, and the other sixty percent carry paired spikelets. A seed with a single spikelets will produce an ear with single spikelets 29% of the time, while a seed with paired spikelets will produce an ear with paired spikelets 26% of the time. Consider a random sample of n = 10 seeds.
(1) What is the probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet?
(2) What is the probability that at least one of the ears produced by these seeds have single spikelets?
(3) Would a Poisson approximation be appropriate in either (a) or (b)? Why or why not?