Question

question 7
the data:
a_{11}=21,a_{12}=71,a_{13}=5,a_{21}=87,a_{22}=17,a_{23}=5
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 democrat and favors the
amendment?
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

Add all the values: \(21 + 71+5 + 87+17 + 5\)

$$
LATEXBLOCK0
$$

Step2: Find the number of students who are Democrat and favor the amendment

The value is \(a_{11}=21\)

Step3: Calculate the probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\), so \(P=\frac{21}{206}\approx0.1019\)

Answer:

\(0.1019\)