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)?

okay so if 50% owns 2 then that must mean the rest makes up 50% if the survey only surveys people that have pets.
so if we add them up 50% = 15 so 100% is 30
so 8/30 is the probability for 1 pet or 4/15
1/2 or 50% is the chance for two
3/30 or 1/10 is the chance for 3
and 2/30 or 1/15 is the chance for 4

i’m not sure what the actual question means but i hope this helps

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Lanuel Lanuel · Answer 2 · 2022-07-05T12:49:08+02:00

Considering the number of pets as the random variable (X), the probability distribution, Px(x) is shown in the image attached below.

How to determine the probability distribution, Px(x)?

First of all, we would determine the total number of students that were being surveyed by Taylor as follows:

Total population = 3 students + 2 students + 8 students

Total population = 13 students.

Next, we would find the probability for the number of pets:

P(1 pet) = 8/26 = 4/13 = 0.30

P(2 pets) = 1/2 = 0.5

P(3 pets) = 3/26 = 0.12

P(4 pets) = 2/26 = 1/13 = 0.08.

In conclusion, the probability distribution, Px(x) is shown in the image attached below.

Read more on probability here: brainly.com/question/12801413

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