Solution: High precision titanium spheres are popular components in manufacturing of ball bearings. A factory has ordered a shipment of 5 000 titanium


Question: High precision titanium spheres are popular components in manufacturing of ball bearings. A factory has ordered a shipment of 5 000 titanium spheres from aboard. It is found that the shipment has a mean radius of 1.5 cm wit h a standard deviation of .03 cm in the shipment.

  1. How many titanium spheres have radii between 1.48 cm and 1.52 cm?
  2. What is the probability that a randomly selected titanium sphere has radius greater than 1.58 cm?
  3. A quality inspector randomly selected 64 titanium spheres from the shipment.
    1. What is the probability that the 64 randomly selected titanium spheres have a mean radius less than 1.49 cm?
    2. Do you come up with the same result in Question 17? Why or why not?

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