The second invader wave was more diversified. Aliens come also from planet RAD2 (the sister planet of Radar) , and have different physical characteristics, closer to human ones given in table 1 for the pioneer wave of this planet.
Table1. Planet RAD2 Pioneers
beats/min |
< 65 |
65 70 |
70 75 |
75 80 |
80 85 |
85 90 |
90 95 |
95 100 |
100 105 |
105 110 |
110 115 |
115 120 |
120 125 |
> 125 |
number |
0 |
2 |
2 |
9 |
17 |
35 |
43 |
43 |
24 |
17 |
5 |
1 |
1 |
1 |
But they also decided, in order to complete the invasion process, to send to Earth more representative sets of their population including all category individuals whose mean characteristics were the same but with much more variance. Statistics for general population of planet Radar and RAD2 are given respectively in tables 2 and 3
Table2: Planet Radar General Population
beats/min |
< 85 |
85 900 |
90 95 |
95 100 |
100 105 |
105 110 |
110 115 |
115 120 |
120 125 |
125 130 |
130 135 |
135 140 |
140 145 |
> 145 |
number |
5 |
6 |
9 |
13 |
19 |
22 |
28 |
27 |
20 |
17 |
14 |
11 |
5 |
4 |
Table3: Planet RAD2 General Population
beats/min |
< 65 |
65 70 |
70 75 |
75 80 |
80 85 |
85 90 |
90 95 |
95 100 |
100 105 |
105 110 |
110 115 |
115 120 |
120 125 |
> 125 |
number |
4 |
6 |
8 |
10 |
14 |
24 |
32 |
31 |
25 |
17 |
12 |
8 |
6 |
3 |

Questions
For RAD2 pioneer population what is the percentage of Aliens detected? (with the same detection process as for the previous exercise)
What do these detection probabilities become for Radar and RAD2 full populations? What are the conclusions?