WEBVTT
1
00:00:05.849 --> 00:00:10.580 A:middle L:90%
Hi, we're answering Question 1 13 that looks at
2
00:00:10.580 --> 00:00:13.730 A:middle L:90%
the weights and the jersey numbers of the members of
3
00:00:13.730 --> 00:00:17.050 A:middle L:90%
the San Francisco 40 Niners and the Dallas Cowboys.
4
00:00:17.589 --> 00:00:20.559 A:middle L:90%
So you have table 3.23 in your book that you
5
00:00:20.559 --> 00:00:23.879 A:middle L:90%
can look at and starting with her, eh?
6
00:00:23.890 --> 00:00:28.390 A:middle L:90%
Probably that a shirt is numbered from 1 to 33
7
00:00:28.399 --> 00:00:32.609 A:middle L:90%
. So we're going to look at the row that
8
00:00:32.609 --> 00:00:38.039 A:middle L:90%
has 1 to 33. So there's 21 plus five
9
00:00:39.240 --> 00:00:46.140 A:middle L:90%
plus zero plus zero on the top. So those
10
00:00:46.140 --> 00:00:50.659 A:middle L:90%
are favorable outcomes because all of those people have those
11
00:00:50.670 --> 00:00:54.070 A:middle L:90%
and then for the bottom were actually going to add
12
00:00:54.070 --> 00:00:58.659 A:middle L:90%
up all of the values in our table. Eso
13
00:00:58.670 --> 00:01:00.810 A:middle L:90%
What we're doing is adding the 21 I'll put this
14
00:01:00.810 --> 00:01:03.090 A:middle L:90%
on the top, because will you be using this
15
00:01:03.090 --> 00:01:07.040 A:middle L:90%
again? So we have 21 plus the five.
16
00:01:07.439 --> 00:01:10.489 A:middle L:90%
Um, we could add in the zeros overly will
17
00:01:10.489 --> 00:01:15.209 A:middle L:90%
make any difference in our totals. Um, so
18
00:01:15.209 --> 00:01:19.079 A:middle L:90%
that's the top row. And then the six and
19
00:01:19.079 --> 00:01:22.489 A:middle L:90%
the 18 and the seven in the four for the
20
00:01:22.489 --> 00:01:25.950 A:middle L:90%
second row. And then finally, for our third
21
00:01:25.950 --> 00:01:30.549 A:middle L:90%
round a six, the 12 the 22 and the
22
00:01:30.560 --> 00:01:37.670 A:middle L:90%
five that gives us a total of 106. So
23
00:01:37.670 --> 00:01:42.890 A:middle L:90%
our total number of possible outcomes is 106 And with
24
00:01:42.890 --> 00:01:46.890 A:middle L:90%
this question, they leave the totals in our the
25
00:01:46.890 --> 00:01:52.430 A:middle L:90%
probability sorry in, um, direction form. So
26
00:01:52.430 --> 00:01:57.549 A:middle L:90%
we can actually just leave this as 26 over 106
27
00:01:59.140 --> 00:02:00.769 A:middle L:90%
Part B s is to find the win. The
28
00:02:00.780 --> 00:02:05.420 A:middle L:90%
probably weighs at most£210. So at most means
29
00:02:05.420 --> 00:02:08.960 A:middle L:90%
he needs to weigh less Stan or 210. So
30
00:02:08.969 --> 00:02:13.689 A:middle L:90%
we would again be looking at the numbers that fit
31
00:02:13.689 --> 00:02:15.860 A:middle L:90%
that which would just be the column of less than
32
00:02:15.860 --> 00:02:20.949 A:middle L:90%
or equal to 210. So we would have 21
33
00:02:21.479 --> 00:02:24.680 A:middle L:90%
plus six plus six. And that's over all of
34
00:02:24.680 --> 00:02:28.800 A:middle L:90%
our players, which is+106 So we get When
35
00:02:28.800 --> 00:02:31.139 A:middle L:90%
we add those together, we get 33 out of
36
00:02:31.139 --> 00:02:36.689 A:middle L:90%
106 for part C and once the probably that the
37
00:02:36.689 --> 00:02:40.099 A:middle L:90%
shirt number is between one and 33 they wait most
38
00:02:40.099 --> 00:02:44.030 A:middle L:90%
£210. So we want to find the road that
39
00:02:44.030 --> 00:02:46.060 A:middle L:90%
has the shorts. 13 33. The column that
40
00:02:46.060 --> 00:02:50.569 A:middle L:90%
has less than or equal to£210. So that
41
00:02:50.569 --> 00:02:54.280 A:middle L:90%
gives us 21 out of our total number, which
42
00:02:54.280 --> 00:02:58.550 A:middle L:90%
is 106 And we're gonna want to keep that 106
43
00:02:58.550 --> 00:03:00.189 A:middle L:90%
in the back of her mind as I flipped to
44
00:03:00.189 --> 00:03:04.650 A:middle L:90%
the next slide, which is asking us for the
45
00:03:04.650 --> 00:03:08.360 A:middle L:90%
shirts 13 33 or at most,£210. So
46
00:03:08.370 --> 00:03:13.250 A:middle L:90%
this one is still gonna be out of 106 So
47
00:03:13.250 --> 00:03:15.389 A:middle L:90%
since I remembering that from the last spring, I'm
48
00:03:15.389 --> 00:03:17.310 A:middle L:90%
just gonna jot that down and then looking at our
49
00:03:17.310 --> 00:03:20.479 A:middle L:90%
table, we need the shirts that air one through
50
00:03:20.479 --> 00:03:23.250 A:middle L:90%
33. So that would be the 21 plus the
51
00:03:23.250 --> 00:03:29.539 A:middle L:90%
six plus the six plus the at most£210.
52
00:03:29.560 --> 00:03:30.509 A:middle L:90%
What? We don't want to count the 21 that
53
00:03:30.509 --> 00:03:34.159 A:middle L:90%
was the one through 33 twice, So we don't
54
00:03:34.159 --> 00:03:36.789 A:middle L:90%
want to include those. So we're going to add
55
00:03:36.789 --> 00:03:38.939 A:middle L:90%
just the five in the zero in the zero because
56
00:03:38.939 --> 00:03:44.099 A:middle L:90%
there's not twice as many players that air one numbers
57
00:03:44.099 --> 00:03:46.870 A:middle L:90%
one through 33 in less than 210. There's just
58
00:03:46.870 --> 00:03:51.180 A:middle L:90%
the 21 I've already counted those right here, so
59
00:03:51.180 --> 00:03:53.449 A:middle L:90%
I'm not going to add those in a second time
60
00:03:53.039 --> 00:03:55.349 A:middle L:90%
. So that's going to give me a total of
61
00:03:57.039 --> 00:04:00.460 A:middle L:90%
38 out of 106 We could have also done this
62
00:04:00.460 --> 00:04:04.840 A:middle L:90%
by taking the total off the one through 33 row
63
00:04:05.009 --> 00:04:10.159 A:middle L:90%
, which would be 27 and 26. Sorry,
64
00:04:10.159 --> 00:04:13.110 A:middle L:90%
I other grown and then adding the total from the
65
00:04:13.110 --> 00:04:15.469 A:middle L:90%
column, which would be of less than or equal
66
00:04:15.469 --> 00:04:18.430 A:middle L:90%
to 2 10 which is 33 and then subtracting the
67
00:04:18.430 --> 00:04:21.360 A:middle L:90%
21 that would we would be counting twice. We
68
00:04:21.360 --> 00:04:26.250 A:middle L:90%
would still get the 38 out of 106 for that
69
00:04:26.839 --> 00:04:28.889 A:middle L:90%
. And finally, the probably that the shirt is
70
00:04:28.889 --> 00:04:31.399 A:middle L:90%
one through through 33. Give in. That little
71
00:04:31.399 --> 00:04:36.449 A:middle L:90%
person weighs at most£210 so we have 21 shirts
72
00:04:38.540 --> 00:04:41.740 A:middle L:90%
that are both one through 30 3 are 21 players
73
00:04:41.740 --> 00:04:46.750 A:middle L:90%
that are both one through 33 way less than£210
74
00:04:46.139 --> 00:04:50.480 A:middle L:90%
and so that's given out of the most to£10
75
00:04:50.490 --> 00:04:54.560 A:middle L:90%
. Were would add for the bottom the 21 plus
76
00:04:54.560 --> 00:05:00.040 A:middle L:90%
the six plus the six that's in that column giving
77
00:05:00.040 --> 00:05:03.550 A:middle L:90%
us 21 out of 33 for that probability,