Two hundred draws will be made at random with replacement from a box with the following tickets. -3 -2 -1 0 1 2 3 If the sum of the 200 numbers drawn is 30, what is their average?
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Step 1: Calculate the total sum of the 200 numbers drawn, which is given as 30. Show more…
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Two hundred draws will be made at random with replacement from the box (a) If the sum of the 200 numbers drawn is $30,$ what is their average? (b) If the sum of the 200 numbers drawn is $-20,$ what is their average? (c) In general, how can you frawn is $-20,$ what is their average? told their sum? (d) There are two alternatives: (i) winning $\$ 1$ if the sum of the 200 numbers drawn is between $-5$ and $+5 .$ (ii) winning $\$ 1$ if the average of the 200 numbers drawn is between $-0.025$ and $+0.025 .$ Which is better, or are they the same? Explain.
One hundred draws are made at random with replacement from the box $\lfloor[1][2][3][4][5][6]$ (a) If the sum of the draws is $321,$ what is their average? (b) If the average of the draws is $3.78,$ what is the sum? (c) Estimate the chance that the average of the draws is between 3 and 4.
A box of tickets has an average of $100,$ and an SD of $20 .$ Four hundred draws will be made at random with replacement from this box. (a) Estimate the chance that the average of the draws will be in the range 80 to $120 .$ (b) Estimate the chance that the average of the draws will be in the range 99 to $101 .$
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