Given a normal distribution with = 103 and o=10, and given you select a sample of n = 4, complete parts (a) through (d).

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Given A Normal Distribution With 103 And O 10 And Given You Select A Sample Of N 4 Complete Parts A Through D 1 (420.25 KiB) Viewed 16 times

Given a normal distribution with = 103 and o=10, and given you select a sample of n = 4, complete parts (a) through (d). a. What is the probability that X is less than 91? P(X<91)= 0.0082 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 91 and 93.5? P(91<x<93.5)= 0.0205 (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that X is above 104? P(X>104)= (Type an integer or decimal rounded to four decimal places as needed.) Screen Shot 2022-07-05 at 6.57.36 PM 3 A Q Search A marketing survey is conducted in which students are to taste two different brands of soft drink. Their task is to correctly identify the brand tasted. A random sample of 180 students Assume that the students have no ability to distinguish between the two brands. Complete (a) through (d) below. a. What is the probability that the sample will have between 50% and 60% of the identifications correct? 0.4963 (Round to four decimal places as needed.) b. The probability is 90% that the sample percentage is contained within what symmetrical limits of the population percentage? Identify the limits of the population percentage. The lower limit is 0.4387. The upper limit is 0.5613. (Round to four decimal places as needed.) There is a 90% probability that the sample percentage will be contained within 6% symmetrically around the population percentage. (Round to the one decimal place as needed.) c. What is the probability that the sample percentage of correct identifications is greater than 55%? (Round to four decimal places as needed.) taken.