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

@Vocaloid

Answer 2

first step is to calculate how many students there are. any ideas how?

Answer 3

you add?

Answer 4

almost

Answer 5

@Vocaloid i dont know why you stopped helping me, but i would love it if you can please start helping me again :) im sorry for whatever i did

Answer 6

since you have 50% of students who own 2 pets, we know that the other 50% have 1, 3, or 4 pets

Answer 7

true

Answer 8

and im sorry that i have ti message you here, because i cant message you..

Answer 9

so you multiply?

Answer 10

so, we add all the students who have 1, 3, and 4 pets to get

3 + 2 + 8 = 13

Answer 11

so, if 13 students make up 50% of the whole group, the whole group must have 26 students

Answer 12

okay i understand now

Answer 13

now we calculate the frequency for the people who own 1,3, or 4 pets

Answer 14

and how do we do that

Answer 15

frequency of people who own 1 pet = number of people who own 1 pet/total

Answer 16

so you divide?

Answer 17

= 8/26

Answer 18

yes

Answer 19

8/26 = 0.3 so the frequency is 0.3

Answer 20

now we repeat the same thing, except with the 3-pet owners and the 4-pet owners

Answer 21

yeah thats what i got

Answer 22

its gonna be over 26 too?

Answer 23

yes

Answer 24

i got 0.12 for 3

Answer 25

2/26 and 3/26

= about 0.07 and .12

Answer 26

good

Answer 27

and 0.2 for 4

Answer 28

now we just pick the graph that matches

Answer 29

okay

Answer 30

1 pet should be 0.3
2 pet should be 0.5
3 pet = 0.12
4 pet = 0.07

which graph matches?

Answer 31

i dont know which one it is

Answer 32

i think its the first graph

Answer 33

good, it's the first graph