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# Diseases I and II are prevalent among people in a certain population.

1. Diseases I and II are prevalent among people in a certain population. It is assumed that 10%of the population will contract disease I sometime during their lifetime, 15% will contractdisease II eventually, and 3% will contract both diseases.(a) Find the probability that a randomly chosen person from this population will contractat least one disease.(b) Find the conditional probability that a randomly chosen person from this populationwill contract both diseases, given that he or she has contracted at least one disease.