Question

Determine the required value of the missing probability to make the distribution a discrete probability distribution. x ​P(x) 3 0.170.17 4 ​? 5 0.350.35 6 0.270.27 ​P(4) = nothing ​(Type an integer or a​ decimal.)

Answer 1

Answer:

The probability of X = 4 is 0.21.

Step-by-step explanation:

The discrete probability distribution of the random variable X is:

   x:   3   |  4     |   5    |   6

P (x): 0.17 | ___ | 0.35 | 0.27

The properties of a probability distribution are:

• 0 ≤ P (X) ≤ 1

• ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the probability for X = 4 as follows:

$\sum P(X)=1\\P(X=3)+P(X=4)+P(X=5)+P(X=6)=1\\0.17+a+0.35+0.27=1\\0.79+a=1\\a=1-0.79\\a=0.21$

Thus, the probability of X = 4 is 0.21.