Note: For both part I and part II, copy and paste your R code and output into th

Question

Note: For both part I and part II, copy and paste your R code and output into the box below. No credit will be awarded for responses that do not include R code and output.

Gears produced by a grinding process are categorized either as conforming (suitable for their intended purpose), degraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). Suppose that 80% of the gears produced are conforming, 15% are degraded, and 5% are scrap. Ten gears are selected at random. 1) Compute the multinomial probability P(Confirming = 4, Degraded = 4, Scrap = 2) in the sample. 2) What is the probability that one or more is scrap?

Explanation / Answer

1)

x<-c(4,4,2)

p<-(0.8,0.15,0.05)

# 0.00163

2)

P(Scrap) = 0.05 ; P(Not Scrap) = 0.95

P(Scrap >=1)

Binomial distribution.

R Code

1-pbinom(1,size =10, prob = 0.05)

#0.4013

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