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In an effort to characterize the New Guinea crocodile (Crocodylus novaeguineae), measurements were taken of the...

In an effort to characterize the New Guinea crocodile (Crocodylus novaeguineae), measurements were taken of the dorsal cranial length (mm) (the length of the skull from the tip of the nose to the back of the cranial cap, denoted DCL) and the total length (cm) (denoted TL) of 50 harvested adult males.

  1. Assume we are interested in the following events:

  

A: DCL > 260mm,      B: TL > 180cm.

     Use the data and the concept of probability as a relative frequency to estimate the probabilities (relative frequencies) of these two events and of the joint event: A and B. Are A and B independent events?

P(A) =

P(B) =

P(A and B) =

TL           DCL           Observation

130           169           1

102           154           2

126           160           3

230           290           4

115           151           5

150           209           6

259           344           7

130           183           8

110           153           9

130           183           10

185           237           11

215           288           12

129           187           13

149           189           14

156           203           15

100           143           16

224           294           17

234           318           18

162           229           19

217           299           20

206           283           21

144           198           22

146           203           23

166           229           24

203           275           25

205           266           26

252           350           27

238           318           28

250           330           29

255           351           30

120           169           31

250           332           32

238           307           33

157           205           34

159           216           35

202           261           36

177           237           37

221           288           38

224           294           39

167           232           40

240           316           41

207           268           42

192           242           43

180           248           44

165           226           45

197           267           46

113           162           47

131           183           48

162           234           49

246           310           50

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orchestra answered 2 years ago
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