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- This topic has 3 replies, 2 voices, and was last updated 4 years ago by
John Moffat.
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- March 28, 2021 at 12:59 pm #615368
question:XYZ manufactures chemicals used in industry. It sells its chemical XX in 500 litre containers. The
containers are filled automatically by specially designed equipment. Though testing a sample of
filled containers it is found that the quantities follow a normal distribution and have a mean of
500 litres. Recent tests showed that 7% of containers contained more than 510 litres.
What is the standard deviation of the distribution?
A 6.76
B 10.52
C 14.80
D 1sir i dont get it they come up with zscore= 0.5-.07=.43 from where they get 0.5 and 0.07
March 29, 2021 at 5:49 am #615435I assume that you have watched my lectures and are therefore clear that the probability of being more than the mean of 500 litres is 50% or 0.50, because the normal curve is symmetrical.
If the probability of containing more than 7% or 0.07, then the probability of being between 500 and 510 is 0.50 – 0.07 = 0.43.March 30, 2021 at 12:08 pm #615508yes sir I have watched it. I just missed out from my mind than you sir for telling
March 30, 2021 at 4:21 pm #615529You are welcome 🙂
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