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What two numbers multiplied together equal 140?
1 x140 2 x 79 4 x 35 5 x 28 10 x 14
What is the approximate probability that a die with six sides that are each equally likely to appear will require more than 140 rolls for the total of all rolls to exceed 400?
More than 140 rolls will be required if and only if the sum of the first 140 rolls does not exceed 400Let S = X1 + X2 + ... + X140 where Xi is the number obtained in the ith rollNote E[X] = 7/2, Var[X] = 35/12So E[S] = 140(7/2) = 490, Var[S] = 140(35/12) = 1225/3By Central Limit Theorem, (with continuity correction)Pr{S ≤ 400}≈ Pr{Z < (400.5 - 490)/√(1225/3)}≈ 4.731327 * 10^(-6)
Is there an alternative to John Deere belt gx21833?
I ran across an alternative on eBay, made my Stens. Here are the details:OEM SPECIFICATION BELT fits JOHN DEERE GX21833 265-238STENS TRUE FIT BELTS - MADE TO EXACT OEM SPECIFICATIONSPart No. 265-238BRAND NEW OEM REPLACEMENT PARTSReplaces OEM Part #(s):JOHN DEERE-GX21833JOHN DEERE-GX20571Fits Models #(s):JOHN DEERE-L120, L130, 145, 155, LA130, LA140 and X140 tractorsReplaces Competitor Part #(s):OREGON-Specifications:Application:DeckLength:141 1/8"Width:1/2"The eBay seller was 'turftractor' = http://myworld.ebay.com/turftractor/ I haven't used it but need to buy a GX21833 myself. Because this one wasn't dramatically cheaper, I think I'll stick with a John Deere belt.
