Question

PLEASE HELP ALGEBRA 2:

ok so I have ping-pong balls 0,1,2,3,4 or 5. My table looks like this basically:

x f
0 33
1 30
2 18
3 21
4 42
5 6

Now I need to enter the correct probabilities in decimals to complete the probability distribution table. And this is where i get lost! :( please help me!

Answer 1

We know that the area of a probability distribution adds up to one.
If you have a discrete distribution (present case) where
N= sum of all frequencies,
and
\(f_i\)=frequency of event i, then
P(i)=\(f_i/N\)
Draw a histogram of P(i) against i.
Note that each P(i) should be less than one.

Answer 2

thats where Im having the issue cause I can't do it in a way that it ends less than one it keeps going like 7 something

Answer 3

P(i)=\(f_i\)/N
Did you find N (sum of all frequencies), and what did you get?

Answer 4

150

Answer 5

P(i)=fi/150

Answer 6

right?

Answer 7

yes, so far so good, continue!

Answer 8

P(i)=F33/150

Answer 9

aaaaaaaagh im so frustrated!

Answer 10

P(0)=33/150

Answer 11

?

Answer 12

and I get 0.22 for the first one

Answer 13

if i did that one right I got the others. I just did the math like that and my probabilities added up to 1 can you please tell me if that one is correct?!?!?!

Answer 14

Yes, P(0)=0.22 is correct.
As you said, you can do the rest of it the same way.
To avoid random mistakes, add up all values at the end to make sure the sum is 1.0