Suppose that 39% of first-year university students have participated in community service or volunteer work. A random sample of 35 first-year students is taken. (a) Verify that we can use the Normal distribution to compute probabilities about the sample proportions of first-year students that have participated in community service of volunteer work 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(p) %3| SD(P) = (c) What is the probability that more than 20 of the students have participated in community service of volunteer work? Draw the diagram for this probability. (d) What is the probability that between 7 and 22 of the first-year students have participated in community service of volunteer work? Draw the diagram for this probability.

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