NBC News reported on May 2, 2013, that 1 in 20 children in the United States have a food allergy of some sort. Consider selecting a random sample of 20 children and let X be the number in the sample who have a food allergy. Then X- Bin(20, 0.05). (Round your probabilities to three decimal places.)

13 percent of the patients in a study reported previous episodes of a stroke. Use 13 percent as the estimate of the prevalence of stroke within the population. If 70 subjects are chosen at random from the population, what is the probability that 10 percent of less would report an incidence of stroke?

Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 19 had black hair, 22 had brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the register has blond hair.

One half of the people in the United States own individual stocks. In a random sample of 12 people, what is the probability that the number owning individual stocks is less than 4.   Round to 3 decimal places.