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2 years ago

School administrators asked a group of students and teachers which of two

Mathematics

1 answer:

NISA [10]2 years ago

6 0

Answer:

The events are not independent

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 ----- 25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

P(Logo A) = Total that prefers Logo A / Total Population

P(S n Logo A) = Number of students that prefer logo A / Total Population

If the events are independent, then the following condition must be satisfied

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

Since they are not equal, then the events are not independent

Step-by-step explanation:

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3 years ago

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