Author: Philippe Lacomme

- Detecting a new set of Invaders

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

RAD2 aliens are closer to humans.  The general populations have a great deal of overlap with humans

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?