The amount of paint required to paint a surface with an area of 50 m² is normally distributed with mean 6 L and standard deviation 0.2 L. (a) If 6.2 L of paint are available. What is the probability that the entire surface can be painted? (Round answer to four decimal places.) (b) How much paint is needed so that the probability is 0.9 that the entire surface can be painted? (Round answer to one decimal place.) (c) There are three rooms, each of which is 50 m² and needs to be painted. What is the probability that all three rooms require less than 6 L of paint? (Round answer to four decimal places.) (a) (b) L (c)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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The amount of paint required to paint a surface with an area of 50 m² is normally distributed
with mean 6 L and standard deviation 0.2 L.
(a) If 6.2 L of paint are available. What is the probability that the entire surface can be painted?
(Round answer to four decimal places.)
(b) How much paint is needed so that the probability is 0.9 that the entire surface can be
painted? (Round answer to one decimal place.)
(c) There are three rooms, each of which is 50 m² and needs to be painted. What is the
probability that all three rooms require less than 6 L of paint? (Round answer to four decimal
places.)
(a)
(b)
L
(c)
Transcribed Image Text:The amount of paint required to paint a surface with an area of 50 m² is normally distributed with mean 6 L and standard deviation 0.2 L. (a) If 6.2 L of paint are available. What is the probability that the entire surface can be painted? (Round answer to four decimal places.) (b) How much paint is needed so that the probability is 0.9 that the entire surface can be painted? (Round answer to one decimal place.) (c) There are three rooms, each of which is 50 m² and needs to be painted. What is the probability that all three rooms require less than 6 L of paint? (Round answer to four decimal places.) (a) (b) L (c)
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