Question

In: Statistics and Probability

An article suggests that substrate concentration (mg/cm3) of influent to a reactor is normally distributed with...

An article suggests that substrate concentration (mg/cm3) of influent to a reactor is normally distributed with μ = 0.40 and σ = 0.06. (Round your answers to four decimal places.)

a. What is the probability that the concentration exceeds 0.60?

b. What is the probability that the concentration is at most 0.30?

c. How would you characterize the largest 5% of all concentration values?

d. The largest 5% of all concentration values are above = mg/cm3.

Solutions

Expert Solution

Let "X" be article suggests that substrate concentration (mg/cm3).

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(3.333, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1.678, TRUE)" to find the probability.

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Refer Standard normal table/Z-table, Lookup for Z-value corresponding to area 0.05 to the right of the normal curve or use excel formula "=NORM.S.INV(1-0.05)" to find the Z-value.


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