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GETS BRAINLIEST
a survey asks teachers and students whether they would like the new school mascot to be a shark or a moose . this table shows the results .
A person is randomly selected from those surveyed
Are being a student and preferring “shark” independent events ? Why or why not ?

GETS BRAINLIEST a survey asks teachers and students whether they would like the new school mascot to be a shark or a moose this table shows the results A person class=

Respuesta :

Answer:

B

Step-by-step explanation:

Answer:

Being a student and preferring “shark” are not independent events

Step-by-step explanation:

Let A be the event that the selected person is a student and B the event that person prefers sharks.

Total number of students =100

Hence P(A) =[tex]\frac{100}{115} =0.8696[/tex]

P(B) = Persons who prefers sharks /total persons

=[tex]\frac{95}{115} =0.8261[/tex]

P(AB) = no of persons who are students and who prefer sharks/total persons

= [tex]\frac{90}{115} =0.7826[/tex]

P(A)P(B) = [tex]=0.8696*0.8261\\\\=0.7183[/tex]

Since P(AB) does not equal P(A) P(B), we find that

A and B are not independent.

Being a student and preferring “shark” are not independent events