The National Safety Board wants to determine the effect of seat belt use on saving lives. One study showed data on children underthe age of 5 who were involved in car accidents in which at least one fatality occurred. Below is the table:X1Survivors (0)Fatalities (1)TotalNo belt (0)Adult belt (1)Child seat (2)11295091638X243273505733139872Total22947213015Answer in 2 decimal places.a) Determine the probability that a child will be in a child seat.b) Determine the probability that X1 = 0 given X2 = 0c) What is the probability of X1 = 1 given X2 = 0?

Answered: The National Safety Board wants to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The National Safety Board wants to determine the effect of seat belt use on saving lives. One study showed data on children under
the age of 5 who were involved in car accidents in which at least one fatality occurred. Below is the table:
X1
Survivors (0)
Fatalities (1)
Total
No belt (0)
Adult belt (1)
Child seat (2)
1129
509
1638
X2
432
73
505
733
139
872
Total
2294
721
3015
Answer in 2 decimal places.
a) Determine the probability that a child will be in a child seat.
b) Determine the probability that X1 = 0 given X2 = 0
c) What is the probability of X1 = 1 given X2 = 0?

Expert Solution

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

It is given that to determine the effect of seat belt use on saving lives. The given data is based on children under the age of 5 who were involved in car accidents in which at least one fatality occurred.

The given dataset is:

X₂	X₁
		Survivors (0)	Fatalities (1)	Total
	No belt (0)	1129	509	1638
	Adult belt (1)	432	73	505
	Child belt (2)	733	139	872
	Total	2294	721	3015

Since, the given data for the joint distribution function.

The probability p for each column can be calculated as:

Step 2

Similarly, for all the columns,

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