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:

You might be interested in

Which expression is equivalent to the given expression? 17x−32x x(17−32) x(32−17) 17x(1−32) 17(x−32)

TiliK225 [7]

Answer would be x(17-32)

5 0

3 years ago

Read 2 more answers

Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, what could the length of t

Aleks04 [339]

As the pen is a triangle, the third side can either be the hypotenuse or a regular side. If the third side is the hypotenuse, it's length would be $l= \sqrt{8^2+15^2} = \sqrt{64+225} = \sqrt{289} =17$ feet. If the third side is a regular side, than it would be $l= \sqrt{15^2-8^2} = \sqrt{225-64} = \sqrt{161}$ ≈12.689 feet. This means your third side can either be 17 feet long or 12.689 feet long.