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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,...

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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 Day Dec 20, 2021

Solution

Robert answered on Dec 20 2021
117 Votes
The fill weight of a certain
and 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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