The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.07liter. Suppose you select a random sample of 25 bottles.a. What is the probability that the sample mean will be between 1.99 and 2.0 liters?b. What is the probability that the sample mean will be below 1.98 liters?c. What is the probability that the sample mean will be greater than 2.01 liters?d. The probability is 90% that the sample mean amount of soft drink will be at least how much?e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetricallydistributed around the mean)?...a. The probability is 0.261 .(Round to three decimal places as needed.)b. The probability is 0.076 .(Round to three decimal places as needed.)c. The probability is 0.239.(Round to three decimal places as needed.)d. There is a 90% probability that the sample mean amount of soft drink will be at least 1.982 liter(s).(Round to three decimal places as needed.)e. There is a 90% probability that the sample mean amount of soft drink will be betweenliter(s) andliter(s).(Round to three decimal places as needed. Use ascending order.)

Answered: Image /qna-images/answer/2d3accbb-a7e0-4248-ba35-5b5205ba865f.jpg

Answered: e. There is a 90% probability that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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e. There is a 90% probability that the sample mean amount of soft drink will be between liter(s) and liter(s). (Round to three decimal places as needed. Use ascending order.)