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Lemonade cup vending machines at JJ Café pour lemonade into cups. The amount of lemonade dispensed...

Lemonade cup vending machines at JJ Café pour lemonade into cups. The amount of lemonade dispensed has approximately a normal distribution with μ= 7.7 ounces and a standard deviation of σ= 0.41 ounces. Suppose that we randomly select 150 lemonade cups. Let X be the random variable representing the mean amount of lemonade in ounces and let Xtot be the random variable representing the sum of the amounts of ounces of lemonade in the 150 selected cups. e) What is the standard deviation of the distribution of X? f) What is the standard deviation of the distribution of Xtot? g) What is the probability that 7.6 < X < 7.8? h) What is the probability that 1145 < Xtot < 1165?
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