I need step-by-step step answer along with Explanation

The amount of wator in a bottle is approximately normally distribuled with a mean of 2.75 liters with a standard deviation of 0.035 liter. Complete perts (a) through (e) bolow. a. What is the probablity that an indlvidual botile contains less than 2.72 liters? (Round to three decimal places as needed.) b. If a sample of 4 bottles is selected, what is the probabe ty that the sample mean amount contained is less than 2.72 liters? (Round to three decimal places as needed.) c. If a sample of 25 bottles is solected, what is the probability that the samplo mean amount contained is less than 2.72 liters? (Round to three decimal places as needed) d. Explain the differenco in the resulte of (a) and (c). The anount of water in a botile is approvimately nomally distnisted with a mean of 2.75 titars with a standard deviation of 0.035 liter. Complete parts (a) through (e) below, d. Explain the difference in the recults of (a) and (c) The probability in pari (G). (T)pe integere or decimals. Do not round) e. Explain the diference in the reruta of (b) and (o). than in (b) As the standard error values bocome more concentrated around the mown. Thetotore, the protability that the sample mean will fall cose to the population mean wil atware When the eamele sire increasest