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

I think that A is the correct answer.

Answer 2

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
`=(8)/(26)=0.3076`

2
`=(13)/(26)=0.5`

3
`=(3)/(26)=0.1153`

4
`=(2)/(26)=0.077`

Option A