1) [5pts] Here is the scenario: Suppose that 8% of the apples picked from an orchard do not meet high quality standards to sell. When a
truckload of apples arrives at a packing plant, a random sample of 150 is selected and examined for
bruises, discoloration and other defects. The whole truckload will be rejected if more than 5% of the
sample is found to be unsatisfactory.
Here is your task:
a) First consider the random variable x, as the count of apples that are found to be unsatisfactory.
Determine if the conditions are met to approximate the binomial model using a normal model. You should
include a detailed justification.