Question

Who eats breakfast? Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast on a regular basis?” All $595$ students in the school responded to the survey. The resulting data are shown in the two-way table

below.$7$ Male Female Total Eats breakfast regularly $190110300$ Doesn’t eat breakfast regularly $130165295Total320275595$

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

(b) If we select a student from the school at random, what is the probability that we choose

• a female?
• someone who eats breakfast regularly?
• a female who eats breakfast regularly?
• a female or someone who eats breakfast

regularly?

Short answer

Part (a) The variables are Eating breakfast consistently and Gender, and the individuals are "all kids in the urban school."

Part (b) probability is $0.4642,0.5042,0.1849,0.7815$

Step-by-step solution

Part (a)  Step 1. Given Information 

The survey received$595$ responses from students at the institution.

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.

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, for a given study, an individual is defined as "all students in an urban school." Eat breakfast on a regular basis and Gender is the variable.

Part (b) Step 1. Calculation 

Formula used :

$Probability=\frac{Numberoffavorableoutcomes}{Totalpossibleoutcomes}$

Female Probability:

$Probability=\frac{275}{295}=0.4622$

The likelihood of eating breakfast on a regular basis:

$Probability=\frac{300}{595}=0.5042$

Females who eat breakfast on a regular basis are more likely to:

$Probability=\frac{110}{595}=0.1849$

Females or people who eat breakfast on a regular basis are more likely to:

$Probability=\frac{190+110+165}{595}=0.7815$