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When the production process for bicycle rims is properly calibrated (functioning as designed), the population proportion of rims with diameters that meet the design specifications

When the production process for bicycle rims is properly calibrated (functioning as designed), the population proportion of rims with diameters that meet the design specifications is = .98 (98% of all rims will meet the specifications). Each day, a random sample of 25 rims is selected and the diameter is measured. The number that meet the design specifications, X, is then determined. The quality control policy is that if the number meeting the specification is 23 or less, it is concluded that the process is not properly calibrated, and the production process is halted for inspection. Otherwise, it is assumed that the process is properly calibrates.

If the process is in fact properly calibrated, what is the probability that the number of rims in a sample that meet the specifications will be 23 or fewer? ( Round your answer to 4 decimal places).

  1. .0886
  2. .3842
  3. .3717
  4. .004
  5. .3965

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