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 ?

Question

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Respuesta :

hickmanvic2003 hickmanvic2003 · Answer 1 · 2019-05-29T17:22:50+02:00

Answer:

No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-05-06T13:31:48+02:00

The true statement about the events is (b) No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95

Two events A and B are independent if

P(A∣B) = P(A)

Using the data entries in the table, we have:

P(Student) = 100/115

P(Student) = 0.87

Also, we have:

P(Student | Shark) = 90/95

P(Student | Shark) = 0.95

The probability values are not equal

i.e.

P(Student) ≠ P(Student | Shark)

Hence, the events A and B are not independent events because P(student)= 0.87 and P(student/shark)=0.95