The daily consumption of fruit and vegetables follows approximately a normal distribution. Canadian males eat an average of 4.29 servings of fruits and vegetables per day with a standard deviation of 2.50 and Canadian females eat an average of 5.00 servings per day with a standard deviation of 2.54. Assume that the consumption of fruit and vegetables is not correlated between males and females.

a) If one male was randomly selected from the Canadian population and one female was randomly selected from the Canadian population, what is the probability that the selected male would have a higher daily consumption of fruits and vegetables than the selected female?

b)If a random sample of 100 men was selected from the Canadian population and a random sample of 100 women was selected from the Canadian population, what is the probability that the mean daily consumption of fruits and vegetables for the male sample would be greater than the mean for the female sample?