C) the ones with arrowsno less, no moreapproximately normal, skewed left, uniform, skewed rightE) is, is notis not, is0.5, 50, 0.05, 5 According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.72. Suppose that a random sample of 100 people is obtained.Complete parts (a) through (e) below.(b) Explain why the sample proportion, p, is a random variable. What is the source of the variability?A. The sample proportion is a random variable because the value of p varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.OB. The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that different people feel differently regardingtheir satisfaction.OC. The sample proportion is a random variable because the value ofquestion truthfully.OD. The sample proportion p is a random variable because the value of...represents a random person included in the sample. The variability is due to the fact that people may not be responding to thevaries from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully.(c) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.Since the sample size iswith HA = and on =than 5% of the population size and np(1-p) = ≥10, the distribution of p isР(Round to three decimal places as needed.)(d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.75?The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.75 is(Round to four decimal places as needed.)(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that 64 or fewer people in the sample are satisfied with their lives?unusual because this probabilityThe probability that 64 or fewer people in the sample are satisfied is, which(Round to four decimal places as needed.)less than%.Next

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Given that p = 0.72 and n = 100.Since the sample size is no more than 5% of the population and…