(Learning Competency: lustrate the normal curve and define its characteristics and its graph) A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 255 mL and a standard deviation of 15 mL. Let the random variable X be the amount of coffee (in mL) per cup. a. Sketch the normal curve and label the mean and standard deviation. b. Using the Empirical Rule, what is the probability that a randomly selected cup will contain less than 225 mL or more than 270 ml. of coffee as dispensed by the machine?

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(Learning Competency: Mustrate the normal curve and define its characteristics and its graph)
A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean
of 255 ml and a standard deviation of 15 ml. Let the random variable X be the amount of coffee (in mL) per cup.
a. Sketch the normal curve and label the mean and standard deviation.
b. Using the Empirical Rule, what is the probability that a randomly selected cup will contain less than 225 ml or
more than 270 ml of coffee as dispensed by the machine?
Transcribed Image Text:(Learning Competency: Mustrate the normal curve and define its characteristics and its graph) A coffee-vending machine is set to dispense amounts of coffee per cup that follows a normal distribution with a mean of 255 ml and a standard deviation of 15 ml. Let the random variable X be the amount of coffee (in mL) per cup. a. Sketch the normal curve and label the mean and standard deviation. b. Using the Empirical Rule, what is the probability that a randomly selected cup will contain less than 225 ml or more than 270 ml of coffee as dispensed by the machine?
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