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An institute reported that 65​% of its members indicate that lack of ethical culture within financial...

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 56​% and 69​%?  ​(Type an integer or decimal rounded to four decimal places as​ needed.)

b. The probability is 90​% that the sample percentage will be contained within what symmetrical limits of the population​ percentage?

The probability is 90​% that the sample percentage will be contained above ​% and below %. (Type integers or decimals rounded to one decimal place as​ needed.)

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 %. ​(Type integers or decimals rounded to one decimal place as​ needed.)

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