Question

In an industrial process the diameter of a ball bearing is an important component part. the buyer sets specifications on the diameter to be 3.0±0.01 cm. the implication is that no part falling outside these specifications will be accepted. it is known that in the process the diameter of a ball bearing has a normal distribution with mean μ=3.0 and standard deviation σ =0.005. on the average, what % of manufactured ball bearings will be scraped?

Answer 1

Slide1

Probability and StatisticsMat 271E

Yard. Doç. Dr. Tarkan ErdikProbability DistributionsUniform and Normal Distributions- Week 7

1

Slide2

Probability Distributions

2

It has been observed that certain functions F(x) and f(x) can successfully express the distributions of many random variables.

Slide3

3

Several continuous distributions play useful roles in engineering as in numerous

other

disciplines

. The more important ones

are

:

U

niform

,

Normal

,

E

xponential

,

G

amma

,

B

eta,

Weibull

,

L

ognormal

distributions.

Slide4

What is the difficulty is in choosing the distribution function? There are no general rules for this.