Question

In: Statistics and Probability

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and...

A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.8, 0.2) distribution. The process specifications call for applying a force between 11.4 and 12.4 kg.

(a) What percent of tablets are subject to a force that meets the specifications?

(b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.9 kg. The standard deviation remains 0.2 kg. What percent now meet the specifications?

Solutions

Expert Solution

P(z<Z) table :

a.

P(11.4<x<12.4) :

P(11.4<x<12.4) = 0.9759

P(11.4<x<12.4) = 97.59%

b.

P(11.4<x<12.4) :

P(11.4<x<12.4) = 0.9876

P(11.4<x<12.4) = 98.76%

(please UPVOTE)

orchestra answered 2 years ago
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