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Chapter 5: Q 50. (page 310)

Sampling senators The two-way table below describes the members of the U.S Senate in a recent year. Male Female Democrats 4713 Republicans 364

(a) Who are the individuals? What variables are being measured?

(b) If we select a U.S. senator at random, what鈥檚 the probability that we choose

  • a Democrat?
  • a female?
  • a female Democrat?
  • a female or a Democrat?

Short Answer

Expert verified

Part (a) The variables are political affiliation and gender, and the individual is referred to as a "member of the United States Senate."

Part (b) Probability is 0.60,0.17,0.13,0.64

Step by step solution

01

Part (a) Step 1. Given Information

A two-way table is presented that lists the members of the United States Senate from the previous year.

02

Part (a) Step 2. Concept Used  

An event is a subset of an experiment's total number of outcomes. The ratio of the number of elements in an event to the number of total outcomes is the probability of that occurrence and the use of the complimentary rule.

03

Part (a)  Step 3. Explanation 

To begin, it is necessary to comprehend the terms individual and variable:

Individuals: These are the objects that the data collection describes.

The study's variable is the topic under investigation. As a result, an individual is considered a "member of the United States Senate" for the purposes of a particular study. Political affiliation and gender are the variables.

04

Part (b) Step 1. Calculation  

The total number of possible outcomes is: 47+13+36+4=100

As a result, the probability of being a Democrat is: probability =47+13100=0.60.

Female probability: probability =13+4100=0.17

Female democrats have a probability of =13100=0.13

Probability of being a woman or a democrat: =47+13+4100=0.64

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Most popular questions from this chapter

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