The fill amount of bottles of a soft drink is normally​distributed, with a mean of 1.01.0 literliter and a standarddeviation of 0.040.04 liter. Suppose you select a random sample of2525 bottles. a. What is the probability that the sample mean willbe between 0.990.99 and 1.01.0 literliter​? b. What is theprobability that the sample mean will be below 0.980.98literliter​? c. What is the probability that the sample mean willbe greater than 1.011.01 ​liters? d. The probability is 9999​% thatthe sample mean amount of soft drink will be at least how​ much? e.The probability is 9999​% that the sample mean amount of soft drinkwill be between which two values​ (symmetrically distributed aroundthe​ mean)? a. The probability is nothing. ​(Round to three decimalplaces as​ needed.) b. The probability is nothing. ​(Round to threedecimal places as​ needed.) c. The probability is nothing. ​(Roundto three decimal places as​ needed.) d. There is a 9999​%probability that the sample mean amount of soft drink will be atleast nothing ​liter(s). ​(Round to three decimal places as​needed.) e. There is a 9999​% probability that the sample meanamount of soft drink will be between nothing ​liter(s) and nothing​liter(s). ​(Round to three decimal places as needed. Useascending​ order.)

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