Question

A manufacturing process produces items with a mean length of 5 cm and a standard deviation of 0.1 cm. The lengths are normally distributed. If an item is randomly selected, what is the probability that it will have a length between 4.8 cm and 5.2 cm?

Name: a manufacturing process produces items with a mean length of 5 cm and a standard deviation of 01 cm the lengths are normally distributed if an item is randomly selected what is the probability that 2
Uploaded: 2023-06-24T22:13:19-08:00
Duration: 1 min 32 s
Channel: Hoan Nguyen
Description: a manufacturing process produces items with a mean length of 5 cm and a standard deviation of 01 cm the lengths are normally distributed if an item is randomly selected what is the probability that 2

          A manufacturing process produces items with a mean length of 5 cm and a standard deviation of 0.1 cm. The lengths are normally distributed. If an item is randomly selected, what is the probability that it will have a length between 4.8 cm and 5.2 cm?

Added by Jan D.

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Solved by Expert Hoan Nguyen

06/24/2023

Step 1

Given that the mean (μ) is 5 cm and the standard deviation (σ) is 0.1 cm: For the upper bound of 5.2 cm: \( z = \frac{5.2 - 5}{0.1} = 2 \) For the lower bound of 4.8 cm: \( z = \frac{4.8 - 5}{0.1} = -2 \) Show more…

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A manufacturing process produces items with a mean length of 5 cm and a standard deviation of 0.1 cm. The lengths are normally distributed. If an item is randomly selected, what is the probability that it will have a length between 4.8 cm and 5.2 cm?