The density of a chemical solution is normally distributed with mean 0.0046 and variance 9.6 10-8.

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The density of a chemical solution is normally distributed with mean 0.0046 and variance 9.6 × 10-8.
(a) What is the probability that the density is less than 0.005?
(b) What is the probability that the density is between 0.004 and 0.005?
(c) What is the 10th percentile of the density level?
(d) What is the 99th percentile of the density level?
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