MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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?
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Transcribed Image Text: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?
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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:

Statistics homework question answer, step 1, image 1

Step 2

Similarly, for all the columns,

Statistics homework question answer, step 2, image 1

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