Question

Which of the following are valid probability distributions for a discrete random variable? Check all that apply.

Answer 1

heres the link to the hole answer

Answer 2

well, a few properties to keep in mind.

the elements should be between 0 and 1; and they should add up to 1

Answer 3

what adds up to one?

Answer 4

the elements of the set ...

Answer 5

ohh okay, for A do i multiply orr..?

Answer 6

there should be 2 obvious sets that we can ignore ....

for A you would have to work the sum ... but that might be a little more entailed than the others to prove

Answer 7

1^k = 1 regardless of k; so those *1^k parts are useless

Answer 8

so A i s out.?

Answer 9

i beleive A is out, since .01 added to itself an infinite number of times is going to be way larger than 1

Answer 10

do you see 2 more sets we can readily ignore?

Answer 11

C

Answer 12

i havent tried C yet, can you give me a reason why you would ignore C?

Answer 13

for B i got -.12

Answer 14

B has negative numbers in it, so it cant be one to start with

Answer 15

nvm i added wrong for C ha.

Answer 16

so C is one.

Answer 17

D is out too

Answer 18

im not sure why there is a comma at the end of C, but the elements shown add to 1 yes

Answer 19

D is out

Answer 20

E is also equal to 1.

Answer 21

so C and E..

Answer 22

assuming the "," at the end of C is just a human error while inputing the question: C and E are good to go

Answer 23

as awlays, correct! :)

Answer 24

thank you for helping me and not just throwing answers at me, its gonna help a lot when i take the final .!

Answer 25

youre welcome; it also helps me to collect my thoughts to make sure ive remembered the stuff correctly :)