question archive The alkalinity level of water specimens collected from the Han River in Seoul, Korea has a mean of 50 milligrams per liter and a standard deviation of 3
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The alkalinity level of water specimens collected from the Han River in Seoul, Korea has
a mean of 50 milligrams per liter and a standard deviation of 3.2 milligrams per liter.
(
Environmental Science & Engineering, Sept., 1, 2000).
Assume that the distribution of
alkalinity levels is approximately normal and that a water specimen is collected from the
river
.
Required
(express your answers to 4
-
decimal places)
a)
Find the probability that the specimen has an alkalinity level exceeding 45
milligrams per liter.
(2 marks)
b)
Find the probability that the specimen has an alkalinity level below 55 milligrams
per
liter.
(2 marks)
c)
Find the probability that the specimen has an alkalinity level between 51 and 52
milligrams per liter.
(
4
marks)
d)
Assume that the probability of alkalinity level greater than the mean of 50 milligrams
per lite
r is 10%. What is the alkalinity level of the water specimen? (Provide your
answer to one decimal place)
(