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(1 point) Automated manufacturing operations are quite precise but still vary, often with distribution that are close to Normal. The width in inches of slots cut by a milling machine follows approximately the N(0.73, 0.0011) distribution. The specifications allow slot widths between 0.7298 and 0.7302. What proportion of slots meet these specifications? Answer as a percent:(1 point) 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(11.7, 0.3) distribution. The process specifications call for applying a force between 11.3 and 12.3 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-11.8 kg. The standard deviation remains 0.3 kg. What percent now meet the specifications?(1 point) The heights of women aged 20 to 29 follow approximately the N(64, 2.67) distribution. Men the same age have heights distributed as N(69.3, 2.87). What percent of young women are taller than the mean height of young men?

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math   Statistics-And-Probability   
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Answer #1

1)

Z = (X - mean)/sd

P(0.7298< X < 0.7302)

=

P ( −0.18<Z<0.18 )=0.1428

2)

a)

P ( 11.3<X<12.3 )=P ( −1.33<Z<2 )

=0.8854

=88.54%

b)

P ( 11.3<X<12.3 )=P ( −1.67<Z<1.67 )

= 0.905

=90.5%

Please post Q3 again

3)

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