Question
In: Statistics and Probability
17) A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is...
17) A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.1 gallons. The paint volumes are approximately bell-shaped (normally distributed). Estimate the percent of pails with volumes between .70 gallons and 1.30 gallons.
21) The average length of crocodiles in a swamp is 10.5 feet. If the lengths are normally distributed with a standard deviation of 1.3 feet, find the probability that a crocodile is more than 10 feet long.
Solutions
Expert Solution
17) µ = 1
= P(-3 < Z < 3)
= P(Z < 3) - P(Z < -3)
= 0.9987 - 0.0013
= 0.9974
21) µ = 10.5
= P(Z > -0.38)
= 1 - P(Z < -0.38)
= 1 - 0.3520
= 0.6480
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