Solved

Miguel Buys a Large Bottle and a Small Bottle of Juice.The

question 7

Multiple Choice

Miguel buys a large bottle and a small bottle of juice.The amount of juice that the manufacturer puts in the large bottle is a random variable with a mean of 1018 ml and a standard deviation of 9 ml.The amount of juice that the manufacturer puts in the small bottle is a random variable with a mean of 506 ml and a standard deviation of 3 ml.Let the random variable T represent the total amount of juice in the two bottles.Suppose that you use a Normal model to determine the probability that the total amount of juice,T,in the two bottles is more than 1543.0 ml.Which of the following assumptions are needed to find the probability in this way? A: The amount of juice in the large bottle is independent of the amount of juice in the small bottle.
B: The amount of juice in each bottle follows a Normal model.
C: The amount of juice in the large bottle is greater than the amount of juice in the small bottle.

Definitions:

Pounds

A unit of weight commonly used in the British imperial and United States customary systems, equal to 16 ounces.

Optimal Consumption

The combination of goods and services that maximizes an individual's utility given their budget constraints.

Indifference Curve

A graph showing different bundles of goods between which a consumer is indifferent, that is, the consumer has no preference for one combination over another.

Price Decrease

A reduction in the price of a good or service, which can lead to an increase in quantity demanded by consumers according to the law of demand.