It is estimated that 30% percent of all the trees in the El Toro National Forest suffer from Yale’s disease and will die in the course of the next two decades. The Bureau of Land Management plans to inspect a sample of 250 trees in the forest. If the overall 30% figure is accurate,
a. How likely is it that the sample will contain between 70 and 80 diseased trees?
b. What is the probability that no more than 35% of the trees in the sample will have Yale’s disease?
c. It is 95% likely that the sample will contain between ___________ and __________ diseased trees. (Make your interval symmetric around the center of the sampling distribution.)
d. It is 99% likely that no more than _______ trees in the sample will have Yale’s disease.