The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population,...

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The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh less than 904 grams?

Answered Same DayDec 20, 2021

Answer To: The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams...

Robert answered on Dec 20 2021
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The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a
standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the
probability that it will weigh less than 904 grams?
Normal distribution with
Mean = 910
SD = 5
SO now converting to standard normal function
Z= (904-910 )/ 5 = -6/5 = -1.2
P(z < -1.2) = F(-1.2)
Wher F(x) is the CDF for normal pdf
P(z < -1.2) = F(-1.2 ) =...
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