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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 84

Explanation / 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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