Estimate parameters of a weibull failure time distribution

Question

Discuss the below:

Q: A sample of 1000 items was placed in a test configuration such that all were operating under load. The data contains the number still running at the end of each day for 90 days.

a. Estimate the parameters of a Weibull failure time distribution.

b. Construct 90% confidence interval for those parameters.

c. Find the reliability of this item at 30 days.

1	1000
2	1000
3	1000
4	1000
5	1000
6	1000
7	1000
8	999
9	999
10	998
11	997
12	996
13	995
14	993
15	991
16	989
17	986
18	982
19	978
20	973
21	967
22	960
23	953
24	944
25	934
26	924
27	912
28	899
29	885
30	869
31	852
32	834
33	814
34	793
35	771
36	747
37	722
38	696
39	669
40	641
41	613
42	583
43	553
44	522
45	491
46	460
47	429
48	398
49	368
50	338
51	309
52	281
53	254
54	229
55	204
56	182
57	160
58	140
59	122
60	106
61	91
62	77
63	65
64	54
65	45
66	37
67	30
68	25
69	20
70	16
71	12
72	9
73	7
74	6
75	4
76	3
77	2
78	2
79	1
80	1
81	1
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	0
90	0