The genet~c origin and properties of maize

(modern-day corn), a domest~c plant developed 8.000 years ago in Mexico, wai mvestigated in Econornlc Botany (Jan.-Mar. 1995). Seeds from maize ears carry either single spikelets or paired spikelets, but not both. Progeny testy on approximately 600 malzc cars revealed the following information. Forty percent of all seeds carry single spikelets, whde 60% carry pared spikelets. A seed with single spikelets wdl produce maize ears with single spikelets 29% of the time and paired spikelets 71% of the time. A seed with paired spikelets will produce maize ears with single spikelets 26% of the time and paired spikelets 74% of the time.

a. Find the probability that a randomly selected maize ear seed carries a single spikclet and produces ears with single spikelets.

b. Find the probability that a randomly selected maize ear seed produces ears with paired spikelets.