The true length of boards cut at a mill with a listed length of 10 feet is normally distributed with a mean of 120 inches and a standard deviation of 2 inches. What is the probability that a randomly selected board will be more than 116.36 inches? Use 4 decimal places. (Report your answers precisely to 4 decimal places as determined using the Cumulative Z-Table. Schoology is using the Cumulative Z-Table to determine probabilities.)
Added by Aurora H.
Step 1
36 inches to z-score using the formula: \( z = \frac{x - \mu}{\sigma} \) Given: \( x = 116.36 \) inches \( \mu = 120 \) inches \( \sigma = 2 \) inches Calculating the z-score: \( z = \frac{116.36 - 120}{2} = -1.82 \) Show more…
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