Complete the questions using R Script. This is all the information given

1. Using the historical data provided, find the mean and standard deviation of the returns of the risky asset
2. Create a function that calculates the best possible asset allocation between the risky and riskless assets
3. Using this function, find the best possible asset allocation between the risky asset from Step 1 and a riskless asset with a return of 3.5% for an investor with a coefficient of risk aversion of 3.8.

year	risky asset return
1	0.0441677
2	-0.1226099
3	0.04845585
4	0.13300576
5	0.07610883
6	-0.1006195
7	0.15361525
8	0.11240244
9	0.06454932
10	0.1013993
11	0.1048939
12	-0.0454068
13	0.06817743
14	0.17458466
15	0.10985191
16	-0.0542494
17	0.09745474
18	0.11899063
19	-0.0124672
20	0.13086449
21	-0.0596302
22	0.02645831
23	0.07517141
24	-0.0051806
25	0.15126484
26	-0.0965493
27	0.22703194
28	0.16026128
29	0.06934095
30	0.00392107
31	-0.0110056
32	0.1703484
33	0.07916124
34	0.11850884
35	0.08660435
36	-0.0051788
37	0.1397996
38	0.15836418
39	-0.0351296
40	0.18013566
41	0.24812023
42	0.04800945
43	0.17955221
44	0.08722588
45	0.08693944
46	0.05114366
47	0.14463659
48	-0.0043474
49	0.02722667
50	0.0749192
51	0.07879394
52	-0.004076
53	-0.0025389
54	0.25534582
55	0.03749105
56	0.16274938
57	-0.0288327
58	0.11954991
59	0.03668721
60	0.18735517
61	0.03911828
62	0.1135662
63	0.20747982
64	0.01086152
65	-0.0039231
66	-0.0778498
67	-0.0479318
68	-0.0303942
69	0.0572853
70	0.02323396
71	-0.0497979
72	0.00192938
73	-0.0078804
74	0.13220173
75	0.02292378
76	-0.0230302
77	0.16758643
78	0.13503774
79	-0.0565015
80	0.15430047
81	-0.1594624
82	0.04681331
83	0.1466907
84	0.08209898
85	0.05260889
86	0.04322869
87	-0.0128389
88	0.0346096
89	0.05376601
90	0.13616144
91	-0.1040444
92	0.14694161
93	-0.0416876
94	0.11892658
95	0.10375179
96	-0.0137491
97	0.10064254
98	0.08385408
99	-0.0942224
100	0.0341587