Table below presents the joint probability distribution associated with data obtained in a study of auto-mobile accidents in which a child under age 5 years was in a car. Y 1 2 1/9 2/9 1/9 2/9 1/9 1 2/9 2 Notice that X is the number of baby car seats in use at the time of the accident and Y is the number of child fatalities.

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a) Find:
i) the marginal distribution of X and Y. Are X and Y independent?

ii) the probability that fewer than two children fatal given that at least one baby car seats in use at the time of the accident.

b) Determine the covariance between X and Y .Give your comment on the relationship between baby car seat and child fatality. 

Table below presents the joint probability distribution associated with data obtained in a study
of auto-mobile accidents in which a child under age 5 years was in a car.
Y
1
2
1/9
1/9
2/9
1
2/9
2/9
2
1/9
Notice that X is the number of baby car seats in use at the time of the accident and Y is the
number of child fatalities.
Transcribed Image Text:Table below presents the joint probability distribution associated with data obtained in a study of auto-mobile accidents in which a child under age 5 years was in a car. Y 1 2 1/9 1/9 2/9 1 2/9 2/9 2 1/9 Notice that X is the number of baby car seats in use at the time of the accident and Y is the number of child fatalities.
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