The two-way table below describes the members of the U.S Senate in a recent year.begin

preprekomW

preprekomW

Answered question

2021-01-08

The two-way table below describes the members of the U.S Senate in a recent year.
MaleFemaleDemocrats4713Republicans364
If we select a U.S. senator at random, what's the probability that the senator is a Democrat?

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-01-09Added 96 answers

Let us determine the row/column total of each row/column, which is the sum of all counts in the row/column:
MaleFemaleTotalDemocrats471347+13=60Republicans36436+4=40Total47+36=8313+4=1760+40=100
The table contains 100 members in total (which is given in the bottom right corner of the table), while 60 of the 100 members are Democrats (since 60 is mentioned in the row ”Democrats” and in the column ”Total” of the given table).
The probability is the number of favorable outcomes divided by the number of possible outcomes:
P(Democrats)=# of favorable outcomes# of possible outcomes=60100=35=0.6=60%
Result: 35=0.6=60%

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?