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Earn +20 ptsQ: Is 122.5 ibs much
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How many stone are in 1225 pounds?
1225 pounds = 87.5 stone
If there are 50 raffle tickets in a jar and only 2 will be drawn out and you own 2 of them what chance do you have of owning both winning tickets?
2/50 x 2/50= 4/2500= 1/625-------------------------If the first ticket won't be replaced after it has been drawn, then your chances are 2/50*1/49=2/2450=1/1225.
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)
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