Question 4: Suppose that 56% of children prefer whole-grain snacks to non-whole-grain snacks. A random sample of 80 children is taken. (a) Verify that we can use the Normal distribution to compute...

Extracted text: Question 4: Suppose that 56% of children prefer whole-grain snacks to non-whole-grain snacks. A random sample of 80 children is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of children who prefer whole-grain snacks by checking the assumptions: 1. Independence Assumption, checked by the Randomization Condition: 2. Sample Size Assumption, checked by the Success/Failure Condition: (b) What are the centre and spread of the normal distribution of p? E(f) = SD(P) (c) What is the probability that less than 40 of the children prefer whole-grain snacks? Draw the diagram for this probability. (d) What is the probability that between 32 and 52 of the children prefer whole-grain snacks? Draw the diagram for this probability.