# 5. based on the definition of independence, are the events 'randomly selected student is female' and 'randomly selected

###### Question:

athletics program" independent? explain.

## Answers

1)qualitative

2)controlled

3)Theory

4)independent

5)quantitative

An inference is an assumption and an observation is data you collected

1. experimental operational definition.

Explanation:

An experimental operational definition is a procedure that Schachter used to investigate the relation between anxiety and affiliation.

He realized that most of the men’s anxiety appears from the theory of affiliation. He made an experiment to divide people into 2 groups: highly anxious and barely anxious.

He realized that stress or fear of something unknown can influence the behavior of one person.

B. It likely made them recognize their own hypocrisy in celebrating the holiday.

it is b

Step-by-step explanation:

It likely made them recognize their own hypocrisy in celebrating the holiday.

Explanation:

Frederick Douglass' Fourth of July speech was given on the 5th of July 1852 was an excruciatingly honest take on the celebration of the American independence day despite most of the black Africans still racially prejudiced. And it is through this speech that he presents the sort of 'celebration' that his people are being subjected to.

And in presenting a contrasting view of the American independence day of Fourth of July, it is likely that the 'white' Americans will recognize their own hypocrisy in their celebration of the national holiday. Thus, the correct answer is the second option.

Qualitative

intentionally

inference

independent

Quantitative

An observation is made using tools or one of the five senses. An inference is a logical explanation to make sense of observations.

b

c

a

Explanation:

Step-by-step explanation:

Hello!

Be two events A and B of the sample space S. A and B are independent when the ocurrence of A doesn't affect the probability of occurrence of B.

Symbolically:

P(B/A)= P(B) -or- P(A/B)= P(A)

If A and B are not independent then P(B/A) ≠ P(B) -or- P(A/B)≠ P(A)

P(A∩B)= P(A)*P(A/B)

a.

A: "the day had precipitation" ⇒ P(A)= 0.32

B: "the day was a weekday" ⇒ P(B)= 0.25

P(A∩B)= 0.08

To check if both events are independent you have to calculate the conditional probability between them and compare it with the probability of the event alone:

[tex]P(B/A)= \frac{P(AnB)}{P(A)} = \frac{0.08}{0.32}= 0.25[/tex]

Then P(B/A)= P(B) ⇒ A and B are independent.

b.

A: "the voter had low income" ⇒ P(A)= 0.25

B: "the voter is a registered Democrat" ⇒ P(B)= 0.45

P(A∩B)= 0.15

[tex]P(B/A)= \frac{P(AnB)}{P(A)} = \frac{0.15}{0.25} = 0.6[/tex]

P(B/A)≠P(B) ⇒ A and B are not independent.

c.

A: "the individual is color-blind" ⇒ P(A)= 0.10

B: "the individual is male" ⇒ P(B)= 0.52

P(A∩B)= 0.08

[tex]P(A/B)= \frac{P(AnB)}{P(B)}= \frac{0.08}{0.52}= 0.15[/tex]

P(A/B)≠P(A) ⇒ A and B are not independent.

d.

A:"The student received an A in Chemistry" ⇒ P(A)= 0.20

B:"The student received an A in Biology" ⇒ P(B)= 0.25

P(A∩B)= 0.05

[tex]P(A/B)= \frac{P(AnB)}{P(B)} = \frac{0.05}{0.25}= 0.2[/tex]

P(A/B)= P(A) ⇒ A and B are independent.

I hope it helps!

The fact our state of independent