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In a valid probability distribution, each probability must be between 0 and 1, inclusive, and the probabilities must add up to 1.
If a probability distribution is 1/5, 1/5, 1/2, x, what is the value of x?
A. 1/10
B. 3/10
C. 3/5
D. 1/5

Respuesta :

Since the probabilities must add up to 1, we have to solve this equation :

1/5 + 1/5 + 1/2 + x = 1

2/5 + 1/2 + x = 1

4 / 10 + 5 / 10 + x = 1

9/10 + x = 1

x = 1 - 9/10

x = 10/10 - 9/10

x = 1/10

So the value of x is 1/10

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