a) What are the mean and standard deviation of the volume shampoo?dialbllah arenodd b) What is the probability that the container is filled with I than the advertised target of 375 milliliters? =) What is the volume of shampoo that is exceeded by 95% the containers?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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Q.4-46
lidador bns slden mobns ounino Exercises
141
(c) Probability that a visitor waits less than 15 minutes for a
show
(d) Probability that a visitor waits more than 20 minutes for a show
4-46. The volume of a shampoo filled into a container is uni-
formly distributed between 746 and 752 milliliters.dW O
JsdW (0)
(a) What are the mean and standard deviation of the volume of
shampoo?pdimalth
(b) What is the probability that the container is filled with less
than the advertised target of 375 milliliters?
(c) What is the volume of shampoo that is exceeded by 95% of
Wuted
the containers?
(d) Every milliliter of shampoo costs the producer $0.002. Any
shampoo more than 375 milliliters in the container is an
extra cost to the producer. What is the mean extra cost?
Transcribed Image Text:lidador bns slden mobns ounino Exercises 141 (c) Probability that a visitor waits less than 15 minutes for a show (d) Probability that a visitor waits more than 20 minutes for a show 4-46. The volume of a shampoo filled into a container is uni- formly distributed between 746 and 752 milliliters.dW O JsdW (0) (a) What are the mean and standard deviation of the volume of shampoo?pdimalth (b) What is the probability that the container is filled with less than the advertised target of 375 milliliters? (c) What is the volume of shampoo that is exceeded by 95% of Wuted the containers? (d) Every milliliter of shampoo costs the producer $0.002. Any shampoo more than 375 milliliters in the container is an extra cost to the producer. What is the mean extra cost?
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