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Answer :
The calculated probability is 0.2743, or 27.43%.
To find the probability that the length of a randomly selected bolt from Machine L is 37.5 mm or less, we can use the z-score formula and standard normal distribution.
Calculate the z-score using the formula:
z = (x - μ) / σ
Substitute the given values into the formula:
z = (37.5 - 38.1) / 1
Calculate the z-score:
z = -0.6
Find the probability using the z-table or a calculator:
P(z ≤ -0.6)
The probability can be determined by looking up the z-score in a standard normal distribution table, which gives us P(z ≤ -0.6) = 0.2743.
Therefore, the probability that the length of a randomly selected bolt from Machine L is 37.5 mm or less is 0.2743, or 27.43%.
Learn more about Probability here:
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