The same study that produced the seat belt safety data of Table 7.1 also took into account the age of the child involved in a fatal accident. The results for those children wearing no seat belts are shown on the next page. Here, X¡ = 1 if the child did not survive and X, indicates the age in years. (An age of zero implies that the child was less

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7.3
The same study that produced the seat belt safety
data of Table 7.1 also took into account the age of
the child involved in a fatal accident. The results
for those children wearing no seat belts are
shown on the next page. Here, X, = 1 if the child
did not survive and X, indicates the age in years.
(An age of zero implies that the child was less
Age
Survivors
Fatalities
104
127
1
165
91
2
267
107
3
277
90
4
316
94
than 1 year old, an age of 1 implies the child was
more than 1 year old but not yet 2, and so on.)
a Construct an approximate joint probability
distribution for X, and X2.
b Construct the conditional distribution of X, for
fixed values of X2. Discuss the implications of
these results.
c Construct the conditional distribution of X2 for
fixed values of X1. Are the implications the
same as in part (b)?
Transcribed Image Text:7.3 The same study that produced the seat belt safety data of Table 7.1 also took into account the age of the child involved in a fatal accident. The results for those children wearing no seat belts are shown on the next page. Here, X, = 1 if the child did not survive and X, indicates the age in years. (An age of zero implies that the child was less Age Survivors Fatalities 104 127 1 165 91 2 267 107 3 277 90 4 316 94 than 1 year old, an age of 1 implies the child was more than 1 year old but not yet 2, and so on.) a Construct an approximate joint probability distribution for X, and X2. b Construct the conditional distribution of X, for fixed values of X2. Discuss the implications of these results. c Construct the conditional distribution of X2 for fixed values of X1. Are the implications the same as in part (b)?
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