When certain building materials containing fibreglass are disturbed during the p
ID: 2922839 • Letter: W
Question
When certain building materials containing fibreglass are disturbed during the process of building renovation or restoration, particles are released into the air. If the renovator wears a breathing filter, the number of particles inhaled diminishes. Suppose that the particle diameters are approximately normally distributed about a mean of 1 micrometre with a standard deviation of 0.6 micrometre The percentage of particles that would pass through a filter having a porosity of 0.4 micrometre (which allows particles smaller than 0.4 micrometre to pass through) is, to the nearest percentage: A 16 B 42 C 58 E 84Explanation / Answer
Mean = 1
Sd = 0.6
P(X < 0.4) = P((X - mean) /sd < (0.4 - mean) /sd)
= P(Z < (0.4 - 1)/0.6)
= P(Z < - 1)
= 0.16
= 16%
Option-A) 16
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