Question

question 11
the data:
( a_{11}=40, a_{12}=40, a_{13}=10, a_{21}=59, a_{22}=11, a_{23}=13 )
which is represented in the following table, were derived from an interview of a group of college students to determine their political party affiliations and whether they favored a balanced - budget amendment to the constitution.

what is the probability that a student is a republican?
note: for any final answer that has up to four decimal places, enter your answer without rounding the number. for any answers with more than four decimal values, round your final answer to four decimal places.

Explanation:

Step1: Calculate total number of students

Total number of students is \(40 + 40+10 + 59+11 + 13\).

$$40+40 + 10+59+11+13=(40 + 40)+(10+59)+(11 + 13)=80+69+24 = 173$$

Step2: Calculate number of Republican students

Number of Republican students is \(59+11 + 13=83\)

Step3: Calculate probability

Probability \(P=\frac{\text{Number of Republican students}}{\text{Total number of students}}\)

$$P=\frac{83}{173}\approx0.4798$$

Answer:

\(0.4798\)