(a) Find P(T < 1.328) when v = 19. (b) Find P(T>2.110) when v = 17. (c) Find P(-2.552 -1.356) when v = 12. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T < 1.328)= (Round to three decimal places as needed.)
(a) Find P(T < 1.328) when v = 19. (b) Find P(T>2.110) when v = 17. (c) Find P(-2.552 -1.356) when v = 12. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) P(T < 1.328)= (Round to three decimal places as needed.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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Transcribed Image Text:Critical Values of the f-Distribution
a
0.40
0.30
0.20
0.15
0.10
0.05
0.025
>>
Critical Values of the t-Distribution
a
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
1
1
0.325
0.727
15.894
1.376
1.963
21.205
31.821
3.078
6.314
42.433
63.656
127.321
12.706
636.578
2
2
0.289
0.617
1.061
4.849
5.643
1.386
6.965
1.886
2.920
4.303
8.073
9.925
14.089
31.600
3
3
0.277
0.584
0.978
1.250
1.638
2.353
3.482
3.896
3.182
4.541
5.047
5.841
7.453
12.924
4
0.271
0.569
0.941
1.190
4
1.533
2.999
3.298
3.747
4.088
2.132
4.604
5.598
2.776
8.610
5
0.267
5
2.757
0.559
0.920
1.156
1.476
3.003
2.015
3.365
2.571
3.634
4.032
4.773
6.869
в
0.265
0.553
6
0.906
2.612
2.829
1.134
3.143
3.372
1.440
1.943
2.447
3.707
4.317
5.959
7
0.263
0.549
0.896
7
1.119
1.415
2.517
2.715
2.998
1.895
2.365
3.203
3.499
4.029
5.408
8
0.262
0.546
0.889
8
1.108
1.397
1.860
2.449
2.634
2.896
2.306
3.085
3.355
3.833
5.041
9
0.261
0.543
0.883
1.100
1.383
1.833
9
2.398
2.574
2.262
2.821
2.998
3.250
3.690
4.781
10
10
0.260
0.542
2.359
2.527
0.879
1.093
1.372
1.812
2.228
2.764
2.932
3.169
3.581
4.587
11
0.260
11
0.540
2.328
2.491
0.876
1.088
1.363
2.718
1.796
2.201
2.879
3.106
3.497
4.437
12
0.259
0.539
0.873
1.083
1.356
12
2.303
2.461
2.681
2.836
3.055
1.782
2.179
3.428
4.318
13
2.282
13
0.259
0.538
2.436
2.650
0.870
2.801
1.079
1.350
3.012
3.372
1.771
4.221
2.160
14
14
0.258
0.537
2.264
2.415
2.624
2.771
0.868
1.076
2.977
1.345
1.761
3.326
2.145
4.140
15
15
2.249
0.258
0.536
0.866
2.397
1.074
1.341
2.602
2.746
1.753
2.131
2.947
3.286
4.073
16
16
0.258
0.535
0.865
2.235
2.382
2.583
1.071
1.337
1.746
2.724
2.921
3.252
2.120
4.015
17
0.257
0.534
0.863
1.069
17
1.333
2.224
2.368
2.567
1.740
2.706
2.110
2.898
3.222
3.965
18
18
2.214
2.356
0.257
0.534
0.862
2.552
1.067
1.330
2.689
2.878
1.734
3.197
3.922
2.101
27
29
30
40
60
120
28888888
19
0.257
0.533
0.861
1.066
1.328
19
2.205
2.346
2.539
2.674
1.729
2.861
3.174
2.093
3.883
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
0.256
0.531
0.855
1.057
1.314
1.703
2.052
0.256
0.530
0.855
1.056
1.313
1.701
2.048
0.256
0.530
0.854
1.055
1.311
1.699
2.045
0.256
0.530
0.854
1.055
1.310
1.697
2.042
1
0.255
0.529
0.851
1.050
1.303
1.684
2.021
0.254
0.527
1
0.848
1.045
1.296
1.671
2.000
0.254
120
88 888 88
20
2.197
2.336
2.528
2.661
2.845
3.153
3.850
21
2.189
2.328
2.518
2.649
2.831
3.135
3.819
22
2.183
2.320
2.508
2.639
2.819
3.119
3.792
23
2.177
2.313
2.500
2.629
2.807
3.104
3.768
24
2.172
2.307
2.492
2.620
2.797
3.091
3.745
25
2.167
2.301
2.485
2.612
2.787
3.078
3.725
26
2.162
2.296
2.479
2.605
2.779
3.067
3.707
27
2.158
2.291
2.473
2.598
2.771
3.057
3.689
28
2.154
2.286
2.467
2.592
2.763
3.047
3.674
29
2.150
2.282
2.462
2.586
2.756
3.038
3.660
30
2.147
2.278
2.457
2.581
2.750
3.030
3.646
40
2.123
2.250
2.423
2.542
2.704
2.971
3.551
60
2.099
2.223
2.390
2.504
2.660
2.915
3.460
0.526
2.076
2.196
0.845
1.041
2.358
1.289
2.468
2.617
1.658
1.980
2.860
3.373
8
0
0.253
0.524
0.842
2.054
1.036
2.170
2.326
1.282
1.645
2.432
2.576
1.960
2.807
3.290
0.40
0.30
0.20
0.15
0.10
0.05
0.025
e
セ
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
a
a
A
C
Transcribed Image Text:(a) Find P(T < 1.328) when v = 19.
(b) Find P(T>2.110) when v = 17.
(c) Find P(-2.552 <T<1.330) when v = 18.
(d) Find P(T> -1.356) when v = 12.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
(a) P(T < 1.328) = (Round to three decimal places as needed.)
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