Canada has a Road Safety Vision of having the safest roads in the world. Yet, the lead- ing cause of death of Canadian children remains vehicle crashes. In 2006, a national child seat safety survey was conducted by an AUTO21 research team in collaboration with Transport Canada to empirically measure Canada's progress towards achieving Road Safety Vision 2010. Child seat use was observed in parking lots and nearby in- tersections in 200 randomly selected sites across Canada. The following table provides a classification of a subset of children in the survey by age groups and type of restraint device they were using at the time of the survey.

a. Convert the frequency table shown above into a probability table.

b. What is the probability that the randomly selected child is in a rear-facing infant seat?

c. What is the probability that the randomly selected child is an infant?

d. If the randomly selected child is a toddler, what is the probability that the child is in a booster seat?

e. If the randomly selected child is in a rear-facing infant seat, what is the probability that the child is an infant?

f. What is the probability that the randomly selected child is a toddler or in a forward- facing infant seat? g. If the randomly selected child is a toddler, what is the probability that the child is in a forward-facing infant seat? h. Are the types of restraint the child uses and age mutually exclusive events? Explain. i. Are the types of restraint the child uses and age independent events? Explain. j. If a randomly selected child was using a forward-facing infant seat, find the prob- ability that the child is a toddler.

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Category Table: Cross-tabulation of Age Group by Restraint Type Types of Restraints Age Group Rear-facing Infant Seat Forward-facing Infant Seat Booster Seat Seat Belt Only Total Infant (0-1 year) 181 52 1 0 234 Toddler (1-4 years) 49 483 117 3 652 School (4-9 years) 0 98 450 325 873 Older (>9 years) 0 0 16 627 643 Total 230 633 584 955 2402