WORKSHEET 8.pdf - WORKSHEET 8 NORMAL DISTRIBUTION Name Section Date 1 Given a normal distribution with mean = and = find A the area below 32 B the area

# WORKSHEET 8.pdf - WORKSHEET 8 NORMAL DISTRIBUTION Name...

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WORKSHEET 8: NORMAL DISTRIBUTION Name: ________________________________________ Section: ______ Date: _________________________ 1. Given a normal distribution with mean 𝝁 = ?? and 𝝈 = ? , find A. the area below 32. B. the area above 27. C. the area between 42 and 51. D. the x value that has 45% of the area below it. E. the x value that has 13% of the area above it.
2. Given the normally distributed variable 𝑿 with mean 𝝁 = ?? and 𝝈 = ?. ? , find A. 𝑷(𝑿 < ??) B. 𝑷(?? < 𝑿 < ??) C. the value of 𝒌 such that 𝑷(𝑿 < 𝒌) = ?. ???? D. the value of 𝒌 such that 𝑷(𝑿 > 𝒌) = ?. ????
3. A softdrink machine is regulated such that it discharges an average of 200 milliliters per cup. If the amount of drink is normally distributed with a standard deviation equal to 15 milliliters, A. What fraction of the cups will contain more than 224 milliliters? B. What is the probability that a cup contains between 191 and 209 milliliters? C. How many cups will likely overflow if 230-milliliter cups are used for the next

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