In the mining industry coal is transported from the mine to the plant using hopper rail cars. The cars are loaded using an automatic conveyor belt that is set to put and average of 74 tons of coal into each car. The actual weights of the coal loaded into each car are normally distributed with a standard deviation of 0.48 tons. a.) What is the probability that one car chosen at random will have more than 73 tons of coal? (Round your answer to 4 decimal places) P(x>73) = = b.) What is the probability that 20 cars chosen at random will have a mean load weight more than 73 tons of coal? (Round your answer to 4 decimal places) P(x > 73) =

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
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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In the mining industry coal is transported from the mine to the plant using hopper rail cars. The cars are
loaded using an automatic conveyor belt that is set to put and average of 74 tons of coal into each car. The
actual weights of the coal loaded into each car are normally distributed with a standard deviation of 0.48
tons.
a.) What is the probability that one car chosen at random will have more than 73 tons of coal? (Round your
answer to 4 decimal places)
P(x > 73) =
=
b.) What is the probability that 20 cars chosen at random will have a mean load weight more than 73 tons
of coal? (Round your answer to 4 decimal places)
P(x > 73) =
=
Submit All Parts
Transcribed Image Text:In the mining industry coal is transported from the mine to the plant using hopper rail cars. The cars are loaded using an automatic conveyor belt that is set to put and average of 74 tons of coal into each car. The actual weights of the coal loaded into each car are normally distributed with a standard deviation of 0.48 tons. a.) What is the probability that one car chosen at random will have more than 73 tons of coal? (Round your answer to 4 decimal places) P(x > 73) = = b.) What is the probability that 20 cars chosen at random will have a mean load weight more than 73 tons of coal? (Round your answer to 4 decimal places) P(x > 73) = = Submit All Parts
In the mining industry coal is transported from the mine to the plant using hopper rail cars. The cars are
loaded using an automatic conveyor belt that is set to put and average of 74 tons of coal into each car. The
actual weights of the coal loaded into each car are normally distributed with a standard deviation of 0.48
tons.
a.) What is the probability that one car chosen at random will have more than 73 tons of coal? (Round your
answer to 4 decimal places)
P(x > 73) =
=
b.) What is the probability that 20 cars chosen at random will have a mean load weight more than 73 tons
of coal? (Round your answer to 4 decimal places)
P(x > 73) =
=
Submit All Parts
Transcribed Image Text:In the mining industry coal is transported from the mine to the plant using hopper rail cars. The cars are loaded using an automatic conveyor belt that is set to put and average of 74 tons of coal into each car. The actual weights of the coal loaded into each car are normally distributed with a standard deviation of 0.48 tons. a.) What is the probability that one car chosen at random will have more than 73 tons of coal? (Round your answer to 4 decimal places) P(x > 73) = = b.) What is the probability that 20 cars chosen at random will have a mean load weight more than 73 tons of coal? (Round your answer to 4 decimal places) P(x > 73) = = Submit All Parts
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