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sergey [27]
3 years ago
10

If a probability distribution is 5/12, 1/12, 1/4, x, what is the value of x?

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

Correct option: A

Step-by-step explanation:

The properties of a probability distribution are:

  1. 0 < P (x = x) < 1.
  2. ∑ P (X = x) = 1.

The second property implies that the sum of all the probabilities of a random variable is 1.

Use this property to determine the value of <em>x</em> as follows:

\sum P(X=k)=\frac{5}{12}+\frac{1}{12}+\frac{1}{4}+x

                 1=\frac{5+1+3+12x}{12}

                 1=\frac{9+12x}{12}

               12=9+12x\\

             12x=12-9

             12x=3

                 x=\frac{3}{12}

                 x=\frac{1}{4}

Thus, the missing probability value is \frac{1}{4}.

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