# 24) Use the Contingency Table created for the variables eye and travel to find the probabilitiesbelow (when identified use probability rule to find probability). The events are defined asfollows: A={brown eyes} and B{drive to school}а. Р(А)b. Р(В)c. Complement rule: P(Ad. Complement rule: P(Be. P(Aand B)f. Addition rule: P(Aor B)g. Conditional Probability rule: P(AB)h. Conditional Probability rule: P(B|A) Contingency table results:Rows: EyeColumns: TravelBikeOtherWalkTotalBusDrive55Blue34912387Brown17085Gray001103034Green12.1Hazel30352Other01Total441831312216Lс

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Step 1

Given data is:

 Travel Bike Bus Drive Other Walk Total Eye Blue 0 3 49 1 2 55 Brown 3 1 70 8 5 87 Gray 0 0 1 0 0 1 Green 1 0 30 2 1 34 Hazel 0 0 30 2 3 35 Other 0 0 3 0 1 4 Total 4 4 183 13 12 216

Let A is brown eyes and B is drive to school.

a.

See the above given table,

Total number of brown eyes or in the other world says favorable outcome = 87

Total outcome = 216

Now, the probability P(A) is calculated as follows:

Step 2

b.

See the above given table,

Total number of drive to school or in the other world says favorable outcome = 183

Total outcome = 216

Now, the probability P(B) is calculated as follows:

Step 3

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