15. A company produces packets of rice. The weight of rice inserted into each packet varies according to a normal distribution with mean 500 grams and standard devia- tion o grams. (a) If o 10, find the probability that the weight of rice inserted into a packet is more than 523.4 grams.
15. A company produces packets of rice. The weight of rice inserted into each packet varies according to a normal distribution with mean 500 grams and standard devia- tion o grams. (a) If o 10, find the probability that the weight of rice inserted into a packet is more than 523.4 grams.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:15. A company produces packets of rice. The weight of rice inserted into each packet
varies according to a normal distribution with mean 500 grams and standard devia-
tion o grams.
(a) If o = 10, find the probability that the weight of rice inserted into a packet is
more than 523.4 grams.
Transcribed Image Text:Question 15 continued ...
(b) A packet of rice is considered under-weight if the weight of rice inserted into the
packet is less than 474.9 grams. The company guarantees that at most 0.8% of
the packets of rice are under-weight.
Find the required value of o so that the probability that a packet is under-weight
is exactly 0.008. Give your answer to two decimal places.
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