Ton Hopper Loads
STATISTICS: Need help with probability!?
I need help answering and walking me through the following question:
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a train. The loader is set to dump 36 tons of coal in each car. The actual weights of coal loaded into each car are normally distributed with μ=36 and standard deviation=1.2 tons.
a) What is the probability that 20 cars chosen at random will have a mean weight of less than 35.5 tons?
b) What is the probability that the 20 cars chosen would have an average weight between 35.5 and 36.6 tons?
c) Suppose the weight of coal in 20 cars selected at random had an average weight less than 35.5 tons. Would that fact make you suspect the loader had slipped out of adjustment? Explain.
Any help is good help!
Thank you!
sassycats
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HO scale Bowser SOO LINE 100 Ton 3 Bay Coal Hopper Car With Removable Coal Load $8.21 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load CP Canadian Pacific $15.00 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load NYC New York Central $12.00 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load Toronto, Hamilton & Buffalo $16.50 |
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N scale MICRO TRAINS 100 ton 3-bay hopper w/coal load/ BURLINGTON NORTHERN/ Used $24.99 |
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N- Atlas 50 000 570 – 90 ton open hopper w/ coal load – SQCR Squaw Creek – NIB $0.99 |
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N- Atlas 32675 – 90 ton 3-bay open hopper w/ coal load MKT Missouri Kansas Texas $4.81 |
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N- Atlas 40485 – 90 ton open hopper w/ coal load – CC Chicago Central & Pacific $1.79 |
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100 Ton B&O Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton B&O Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton B&O Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton B&O Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton C&O Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton WM Western Maryland Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton WM Western Maryland Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton WM Western Maryland Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton WM Western Maryland Chessie Coal Hopper Car with Load Concor $6.49 |
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100 Ton WM Western Maryland Speed Lettering Coal Hopper Car with Load Concor $6.49 |
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Custom 100 Ton B&O Baltimore and Ohio Coal Hopper Car with Load Concor $6.49 |
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Custom 100 Ton B&O Baltimore and Ohio Coal Hopper Car with Load Concor $6.49 |
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Custom 100 Ton B&O Baltimore and Ohio Coal Hopper Car with Load Concor $6.49 |
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Custom 100 Ton B&O Baltimore and Ohio Coal Hopper Car with Load Concor $6.49 |
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100 Ton B&O Chessie Coal Hopper Car with Load, McKean Ready to Run $6.49 |
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100 Ton C&O Chessie Coal Hopper Car with Load, McKean Ready to Run $6.49 |
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SILVER SERIES~NORFOLK & WESTERN BETHLEHEM STEEL 100 TON HOPPER WITH LOAD~NIB $8.99 |
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HO Scale – KADEE 7037 NC & StL 50 Ton AAR Standard Open Hopper with Coal Load $33.98 |
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HO Scale – KADEE 7040 NORFOLK SOUTHERN 50 Ton AAR Std Open Hopper with Coal Load $33.98 |
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Pittsburgh & Lake Erie P&LE 100-Ton Triple Hopper with Gravel LOAD, Kadee’s $6.90 |
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Atlas Trainman N #50000568 Candian National CN #40156 90-Ton Hopper w/Coal Load $10.50 |
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3265 Atlas N Scale Western Maryland 90 Ton Hopper w/Stone Load # WM 85090 $7.95 |
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3265-1 Atlas N Scale Western Maryland 90 Ton Hopper w/Stone Load # WM 85007 $7.95 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load Single Car Kansas City Southern $11.50 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load Single Car Georgia Railroad $21.50 |
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N SCALE 70-Ton Offset-Side 3-Bay Hopper w/Load Single Car Illinois Terminal $21.50 |
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N scale MICRO TRAINS 2-PACK 100 TON 33-Bay hoppers w/coal loads/SEABOARD SYSTEM $39.99 |
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N scale MICRO TRAINS 100 ton 3-bay hopper w/coal load/ READING & NORTHERN/ Used $12.99 |
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OO imitation LIMESTONE load X 2 for Hornby 32.5 ton HOPPER wagon $1.88 |
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OO imitation IRONSTONE load X 2 for Mainline 12 ton HOPPER. $1.88 |
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New N Scale Bluford Shops Reading (Blue Coal) 70-Ton 3-Bay Hopper w/Load 3-Pack $65.00 |
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New N Scale Bluford Shops Reading (Blue Coal) 70-Ton 3-Bay Hopper w/Load 3-Pack $65.00 |
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New N Scale Bluford Shops Reading (Blue Coal) 70-Ton 3-Bay Hopper w/Load 3-Pack $65.00 |
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New N Scale Bluford Shops Reading (Blue Coal) 70-Ton 3-Bay Hopper w/Load 3-Pack $65.00 |
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N Scale 100 Ton 3-Bay Hopper w/Load – WP #70206 – MTL $25.30 |
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N Scale 100 Ton 3-Bay Hopper w/Load – WP #70202 – MTL $25.30 |
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ATLAS ~ CENTRAL OF GEORGIA AAR 70-TON 9-PANEL HOPPER CAR # 22206 W/LOAD~NIP~HO $13.50 |
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USA TRAINS G SCALE 70 TON HOPPER TRAIN CAR WITH COAL LOAD! $70.00 |
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Atlas – UP / UNION PACIFIC 70 TON ORE CAR / HOPPER w/LOAD – N SCALE / N GAUGE $13.87 |
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OO imitation COAL load X 2 for Hornby 32.5 ton HAA HOPPER. $1.88 |
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Atlas – CN / CANADIAN NATIONAL 90 TON HOPPER w/COAL LOAD – N SCALE / N GAUGE $13.87 |
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HO Scale 50 Ton Coal Hopper Union Pacific ( Road Of The Streamliners W/ Load ) $6.39 |
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GRAVEL / BALLAST LOADS for Micro-Trains 100-Ton Hopper – by Hay Brothers $2.75 |
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O Scale Coal Load for 55 Ton USRA Hopper Mine Run Grade $8.95 |
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Bluford Shops # 73281 70-Ton Offset-Side 3-Bay Hopper w/Load B&LE N Scale MIB $21.79 |
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Bluford Shops # 73201 70-Ton Offset-Side 3-Bay Hopper w/Load Seaboard N MIB $21.99 |
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NIB N MTL #10800202 100 Ton Hopper WP #70206 w/Load $21.50 |
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Bachmann Industries HO 55-Ton 2-Bay Hopper w/Coal Load, C&O, $24.30 |
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3-PK BALLAST/GRAVEL LOADS for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $6.50 |
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Trainworx – 100 ton quad hopper w/ coal load – C&S Burlington Route $12.95 |
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ATHEARN BALTIMORE AND OHIO 40ft 70ton QUAD COAL HOPPERS 6-CAR PACK WITH LOADS $90.00 |
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ATHEARN BALTIMORE AND OHIO 34ft 55ton TWIN COAL HOPPERS 6-CAR PACK WITH LOADS $90.00 |
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Bluford Shops # 73302 70-Ton Offset-Side 3-Bay Hopper w/Load Toronto N MIB $43.98 |
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JWD HO #1120 (pkg 2 Loads) Fits: Stewart 70 ton Offset Hoppers $7.69 |
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BLUE COAL LOAD for BLUFORD SHOPS 70-Ton Offset-Side Hopper Cars – HAY BROTHERS $3.75 |
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Kadee 7035 MONON 50-ton AAR 2-Bay Hopper w/ Coal Load NIB $33.98 |
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Seaboard Coast Line 70ton hopper w/load #162112 $12.71 |
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3-pack of SINGLE-HUMP COAL LOADS for ATLAS 2-Bay 55-Ton Fishbelly Hopper Cars $6.50 |
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CRUSHED LIMESTONE LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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BACHMANN SILVER SERIES (19503) 55 TON 2-BAY USRA OUTSIDE BRACED HOPPER W/LOAD $12.99 |
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COAL Load for CON-COR 4-bay 75-ton Hopper Cars – by HAY BROTHERS $2.75 |
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( 6 ) Western Maryland 70 Ton 3-Bay Hoppers & Coal Load $259.99 |
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Realistic Coal Loads for Walthers 55 Ton USRA Hopper HO $4.50 |
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Realistic Coal Loads for HO Stewart/Bowser 55Ton Hopper $4.50 |
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Realistic Coal Loads for Accurail 70 Ton Hopper – New $4.50 |
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Realistic Gravel Loads for Walthers 100 Ton Twin Hopper $4.50 |
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Realistic Coal Loads for P2K/Walthers War 50 Ton Hopper $4.50 |
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Realistic Coal Loads for Walthers 100 Ton Hopper HO $4.50 |
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Realistic Coal Loads for Accurail 50 Ton Hopper – New $4.50 |
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Realistic Coal Loads for P1K/Walthers100 Ton Hopper $4.50 |
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Realistic Coal Loads for Bowser 100 Ton Hopper – HO $4.50 |
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Realistic Coal Loads for Con-Cor 100 Ton Hopper – HO $4.50 |
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Realistic Coal Loads for Bowser 70 Ton Hopper – New HO $4.50 |
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Realistic Coal Loads for Bachmann 100 Ton Hopper – New $4.50 |
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Single Hump COAL Loads for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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3-pk Single Hump COAL Load for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $6.50 |
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COAL LOAD #2 (Multi-hump) for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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3-Pack of COAL #2 LOADS for Walthers N-Scale Greenville 100 Ton 2-Bay Hopper $6.50 |
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CRUSHED GREEN GLASS Load for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $3.75 |
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CRUSHED BROWN GLASS Load for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $3.75 |
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VOLCANIC CINDERS LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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BALLAST / GRAVEL LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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SAND LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers – HAY BROTHERS $2.75 |
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METALLURGICAL COKE LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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COAL LOAD #3 (Single-hump) for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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3-Pack COAL #3 LOADS (Single-hump) for Walthers Greenville 100 Ton 2-Bay Hoppers $6.50 |
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FILL DIRT LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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LUMP (RAW) COAL LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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3-PK LUMP (RAW) COAL LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $6.50 |
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CHUNK LIMESTONE LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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NO.1 BUCKWHEAT COAL LOAD for Walthers N-Scale Greenville 100 Ton 2-Bay Hoppers $2.75 |
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3-Pack NO.1 BUCKWHEAT COAL LOADS for Walthers Greenville 100 Ton 2-Bay Hoppers $6.50 |
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Bachmann Trains 55-Ton 2-Bay USRA Outside Braced Hopper With Removable Coal Load – Clinchfield $18.36 With removable coal load… |
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Bachmann Trains 55-Ton 2-Bay USRA Outside Braced Hopper With Removable Coal Load – Western Maryland $16.78 HO Scale. Body mounted couplers. Non-magnetic, blackened-brass axles with needlepoint bearings. Removable coal load…. |
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Bachmann Trains 55-Ton 2-Bay USRA Outside Braced Hopper With Removable Coal Load – Delaware And Hudson $19.02 HO Scale. Body mounted couplers. Non-magnetic, blackened-brass axles with needlepoint bearings. Removable coal load…. |
March 21st, 2006 in
Uncategorized
