A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches, and standard deviation of 5.4 inches. If one item is chosen at random, what is the probability that it is less than 4.8 inches long?
A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches, and standard deviation of 5.4 inches. If one item is chosen at random, what is the probability that it is less than 4.8 inches long?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A manufacturer knows that their items have a
If one item is chosen at random, what is the probability that it is less than 4.8 inches long?
Expert Solution
Step 1
Let X be the length of the item.
We have,
We want to find out P(X<4.8)
when X=4.8,
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