> source("lab8-funs.r")
> 
> set.seed(1)
> plot(biased_random_walk(0.8,1000))
> title("biased random walk")

plot of chunk unnamed-chunk-1

> set.seed(1)
> w <- random_walks_1 (1000, 4)
> plot_walks(w)
> title("random_walks_1")

plot of chunk unnamed-chunk-1

> set.seed(1)
> w <- random_walks_2 (1000, 4)
> plot_walks(w)
> title("random_walks_2")

plot of chunk unnamed-chunk-1

> set.seed(1)
> w <- random_walks_3 (1000, 4)
> plot_walks(w)
> title("random_walks_3")

plot of chunk unnamed-chunk-1

> set.seed(1)
> w <- random_walks_3 (1000, 50)
> plot(walk_sd(w))
> lines(sqrt(0:(nrow(w)-1)))
> title("walk_sd with seed 1")

plot of chunk unnamed-chunk-1

> set.seed(2)
> w <- random_walks_3 (1000, 50)
> plot(walk_sd(w))
> lines(sqrt(0:(nrow(w)-1)))
> title("walk_sd with seed 2")

plot of chunk unnamed-chunk-1

> set.seed(1)
> h <- steps_dist (4, 500)
> sort(h)
  [1]       4       4       4       4       4       4       4       4
  [9]       4       4       4       4       4       4       4       4
 [17]       4       4       4       4       4       4       4       4
 [25]       4       4       6       6       6       6       6       6
 [33]       6       6       6       6       6       6       6       6
 [41]       6       6       6       6       6       6       6       6
 [49]       6       6       6       6       6       8       8       8
 [57]       8       8       8       8       8       8       8       8
 [65]       8       8       8       8       8       8       8       8
 [73]       8       8       8       8       8       8       8       8
 [81]       8       8      10      10      10      10      10      10
 [89]      10      10      10      10      10      10      10      10
 [97]      10      10      10      10      10      10      12      12
[105]      12      12      12      12      12      12      12      12
[113]      12      12      12      12      12      12      12      12
[121]      12      12      12      14      14      14      14      14
[129]      14      14      14      14      14      14      14      14
[137]      14      14      14      14      14      16      16      16
[145]      16      16      16      16      16      16      16      16
[153]      16      16      18      18      18      18      18      18
[161]      18      18      18      18      18      18      18      20
[169]      20      20      20      20      20      20      20      20
[177]      20      20      20      20      20      20      22      22
[185]      22      22      22      22      22      22      22      22
[193]      22      22      24      24      24      24      24      24
[201]      24      24      24      24      24      26      26      26
[209]      26      26      26      28      28      28      28      28
[217]      28      28      28      28      28      30      30      30
[225]      30      30      30      30      32      32      32      32
[233]      32      32      34      34      34      34      34      34
[241]      34      36      36      36      38      38      38      38
[249]      38      38      38      40      40      40      40      40
[257]      40      40      40      40      40      40      42      42
[265]      42      44      44      46      46      46      48      48
[273]      48      50      52      52      54      54      54      54
[281]      54      56      56      56      58      58      58      58
[289]      60      60      60      60      60      60      60      60
[297]      60      62      62      62      64      64      64      66
[305]      66      68      70      70      70      70      72      72
[313]      72      72      72      74      74      74      76      78
[321]      80      80      80      80      82      82      84      84
[329]      84      84      84      88      88      88      90      92
[337]      92      92      96      98      98      98     100     102
[345]     102     102     104     106     106     106     108     108
[353]     108     110     110     110     112     116     116     118
[361]     120     124     126     128     132     136     138     140
[369]     142     144     152     152     156     158     158     160
[377]     164     166     168     168     172     172     174     176
[385]     176     180     182     186     186     188     190     194
[393]     194     196     208     210     210     218     238     240
[401]     250     266     266     272     274     286     302     308
[409]     318     324     332     338     342     346     354     356
[417]     356     360     374     390     410     416     420     426
[425]     426     430     480     502     504     504     510     514
[433]     520     528     530     546     546     552     578     580
[441]     638     712     728     746     808     966     992    1008
[449]    1012    1022    1022    1042    1086    1108    1116    1120
[457]    1192    1200    1330    1356    1420    1440    1482    1616
[465]    1624    1714    1818    1840    1916    1972    1980    2068
[473]    2118    2142    2392    2478    2960    2978    3026    3072
[481]    3540    3636    3676    3908    3970    4076    6414    6948
[489]    7162    7896    9554   10734   19852   24288   54664  111034
[497]  140184  559962  859716 1318344