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 studyof auto-mobile accidents in which a child under age 5 years was in a car.Y121/91/92/912/92/921/9Notice that X is the number of baby car seats in use at the time of the accident and Y is thenumber of child fatalities.

Answered: Image /qna-images/answer/a3a49665-acb6-4484-81d9-20483e3d4953.jpg

Answered: Table below presents the joint…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 19E: Suppose a die is rolled 4 times. a. Find the probability distribution for the number of times 1 is...

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Question

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.

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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