GETS BRAINLIEST
2 answers:
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) =
P(B) = Persons who prefers sharks /total persons
=
P(AB) = no of persons who are students and who prefer sharks/total persons
=
P(A)P(B) =
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
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Answer:
x ∈ (-∞, 3) U (6, ∞).
Step-by-step explanation:
We use factorization and optain
Then, we have two critical points: x=3 and x=6. Now:
(i) for x < 3 we have that x-6 <0 and x-3 <0. Then (x-6)(x-3) > 0.
(ii) for 3 < x < 6 we have that x -6 <0 and x -3 > 0. Then (x-6)(x-3) < 0.
(iii) for x > 6 we have that x-6 >0 and x-3 > 0. Then, (x-6)(x-3) > 0.
conditions (i) and (iii) satisfy the inequatliy, then the solution is x ∈ (-∞, 3) U (6, ∞).
The graph is in the picture below.
