An institute reported that 65% of its members indicate that lack of ethical culture within financial firms has contributed most to the lack of trust in the financial industry. Suppose that you select a sample of 100 institute members. Complete parts ​(a) through ​(d) below. a. What is the probability that the sample percentage indicating that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry will be between 63% and 69%(round to 4 decimal places) b. The probability is 80​% that the sample percentage will be contained within what symmetrical limits of the population​ percentage?(round to one decimal place) c. The probability is 85​% that the sample percentage will be contained within what symmetrical limits of the population​ percentage? The probability is 85% that the sample percentage will be contained above and below(one decimal place) d. Suppose you selected a sample of 400 institute members. How does this change your answers in ​(a) through ​(c)​?

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