Using the biased wheel, "Tisch 1", it was determined that the probability for one of the numbers was about 0.03776, which is higher than normal. Suppose you bet on this number for 36 rounds. Use this probability to fill in the blanks in the biased wheel column. (Round your answers to four significant figures.) X, the Number of Winning Rounds Net Profit from X Wins Probability of X Wins with Biased Wheel 0 −$36 1 $0 2 $36 3 $72 ... ... ... 36 $1,260
for aove is a binomial distribution probabiltiy of x winning P(X=x)=
hence below is table
x | profit from x win | probability |
0 | -36 | 0.2502 |
1 | 0 | 0.3534 |
2 | 36 | 0.2427 |
3 | 72 | 0.1079 |
4 | 108 | 0.0349 |
5 | 144 | 0.0088 |
6 | 180 | 0.0018 |
7 | 216 | 0.0003 |
8 | 252 | 0.0000 |
9 | 288 | 0.0000 |
10 | 324 | 0.0000 |
11 | 360 | 0.0000 |
12 | 396 | 0.0000 |
13 | 432 | 0.0000 |
14 | 468 | 0.0000 |
15 | 504 | 0.0000 |
16 | 540 | 0.0000 |
17 | 576 | 0.0000 |
18 | 612 | 0.0000 |
19 | 648 | 0.0000 |
20 | 684 | 0.0000 |
21 | 720 | 0.0000 |
22 | 756 | 0.0000 |
23 | 792 | 0.0000 |
24 | 828 | 0.0000 |
25 | 864 | 0.0000 |
26 | 900 | 0.0000 |
27 | 936 | 0.0000 |
28 | 972 | 0.0000 |
29 | 1008 | 0.0000 |
30 | 1044 | 0.0000 |
31 | 1080 | 0.0000 |
32 | 1116 | 0.0000 |
33 | 1152 | 0.0000 |
34 | 1188 | 0.0000 |
35 | 1224 | 0.0000 |
36 | 1260 | 0.0000 |
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