Probability Unit Test

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Question
If the table below represents a probability model based on observed frequencies, what is the value of x ?

Y C A R E S
P(Y) 0.25 0.18 0.30 0.17 x (1 point)
Responses

0.10
0.10

0.20
0.20

0.01
0.01

1

The sum of all the probabilities in a probability model must equal 1. Therefore, to find the value of x, we add up the given probabilities and subtract them from 1:

0.25 + 0.18 + 0.30 + 0.17 + x = 1
x = 1 - (0.25 + 0.18 + 0.30 + 0.17)
x = 1 - 0.90
x = 0.10

Therefore, the value of x is 0.10.