(1) n = 25, p = 0.8, q = 1 - p = 0.2
P(x) = C(n, x) p^x q^(n - x)
Binomial Distribution | |
n = | 25 |
p = | 0.8 |
Mean = | 20.0000 |
Var = | 4.0000 |
SD = | 2.0000 |
0 | 0.0000 |
1 | 0.0000 |
2 | 0.0000 |
3 | 0.0000 |
4 | 0.0000 |
5 | 0.0000 |
6 | 0.0000 |
7 | 0.0000 |
8 | 0.0000 |
9 | 0.0000 |
10 | 0.0000 |
11 | 0.0001 |
12 | 0.0003 |
13 | 0.0012 |
14 | 0.0040 |
15 | 0.0118 |
16 | 0.0294 |
17 | 0.0623 |
18 | 0.1108 |
19 | 0.1633 |
20 | 0.1960 |
21 | 0.1867 |
22 | 0.1358 |
23 | 0.0708 |
24 | 0.0236 |
25 | 0.0038 |
P(x <= 15) = P(0) + P(1) + ... P(15) = 0 + 0 + ... + 0.0118 = 0.0173
(2) Mean = np = 20 and Standard deviation = sqrt(npq) = 2
(3) n = 5, p = 0.10, q = 1 - p = 0.90
P(x) = C(n, x) p^x q^(n - x)
Binomial Distribution | |
n = | 5 |
p = | 0.1 |
Mean = | 0.5000 |
Var = | 0.4500 |
SD = | 0.6708 |
0 | 0.5905 |
1 | 0.3281 |
2 | 0.0729 |
3 | 0.0081 |
4 | 0.0005 |
5 | 0.0000 |
P(0) = 0.5905
(4) 12000 * 0.10 = 1200 students
(5) This question is not clear to me. I am trying to figure out what it means.
Neurological research has shown that in about 80% of people language abilities reside in the brings...