A vending machine automatically pours soft drinks into cups. theamount of soft d

Question

A vending machine automatically pours soft drinks into cups. theamount of soft drink dispensed into a cup is normally distributedwith a mean of 7.6 ounces and standard deviation of 0.4 ounce.
a.) estimate the probability that the machine will overflow an8-ounce cup.
b.) estimate the probability that the machine will notoverflow an 8-ounce cup.
c.) the machine has just been loaded with 850 cups. how manyof these do you expect will overflow when served?
a.) estimate the probability that the machine will overflow an8-ounce cup.
b.) estimate the probability that the machine will notoverflow an 8-ounce cup.
c.) the machine has just been loaded with 850 cups. how manyof these do you expect will overflow when served?

Explanation / Answer

X~Normal(=7.6, =0.4) (a) P(X>8) =P((X-)/ >(8-7.6)/0.4) =P(Z>1) =0.16 (check normal table) (b) P(X

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