What proportion of tires are expected to be sold as betahigh

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Question -

Goodyear's AlphaMax tire's tread thickness is computed to be normally distributed with a mean of 10 mm, and standard deviation 2 mm. There is a 50,000 miles warranty on AlphaMax. But to last that much, the tread should be1464_figure.png7.9mm; otherwise the tire is sold as BetaHigh with a slightly lower warranty.

a. What proportion of tires are expected to be sold as BetaHigh.

b. If Goodyear wants that 30% of the tires produced should be sold as BetaHigh (say per market demand), then what should be the tread thickness threshold set as (formerly set as 7.9mm)?

What to Submit:

  • Answers to (a) and (b)
  • Screenshot of the code.
  • .R file SEPARATELY in the section listed.

Reference no: EM131977015

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