Question

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 students own 3 pets each, and 2 students own 4 pets each. Eight of the students in the grade own 1 pet. Considering the number of pets as the random variable, X, which of the following is the probability distribution, PX(x)?

Answer 1

Answer with explanation:

Information Regarding students who own pets

1.  50% of the students surveyed own 2 pets.

2. 3 students own 3 pets each,

3. 2 students own 4 pets each.

4. Eight of the students in the grade own 1 pet.

Total number of students =(3+2+8) ×2=13×2=26

X               P(x)

1              $=\frac{8}{26}=0.3076$

2            $=\frac{13}{26}=0.5$

3              $=\frac{3}{26}=0.1153$

4                $=\frac{2}{26}=0.077$

Option A

Answer 2

I think that A is the correct answer.