Question

g the diameters of bolts produced by a certain machine are normally distributed with a population mean of 20.00 milimeters (mm) and a population standard deviation of 0.2 mm. what is the probability that a randomly selected bolt will have a diameter greater than 20.329 mm? use 4 decimal places in answering.

Answers

  1. The probability that a  randomly selected bolt will have a diameter greater than 19.705 mm is 0.9812.
    Given that:
    mean = 19.0
    standard deviation = 0.3
    P(18.295 < x < 19.705)
    = P[(18.295 – 19.0)/0.3) < (x-mean)/standard deviation < (19.705-19.0)/0.3)]
    = P(-2.35 < z < 2.35)
    = P(z<2.35)-P(z<-2.35)
    = 0.9906 – 0.0094
    = 0.9812
    Probability = 0.9812
    Hence we get the required probability.
    Learn more about Probability here:
    brainly.com/question/25870256
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