Answer:
The value of <em>p</em>ₓ is 0.11.
Step-by-step explanation:
The effects of a certain glaze on a ceramic surface are denoted as:
<em>X</em> = discoloration
<em>Y</em> = crack
<em>Z</em> = either discoloration or crack or both.
The success is denoted as 1 and failure as 0.
If <em>X</em> = 1 it implies that there is discoloration.
If <em>X</em> = 0 it implies that there is no discoloration.
The probability that there will be discoloration on applying a certain glaze is,
P (X = 1) = 0.11
Then the probability that there will be no discoloration is:
P (X = 0) = 1 - P (X = 1) = 1 - 0.11 = 0.89.
The variable <em>p</em>ₓ denotes the success probability of random variable <em>X</em>.
In case of success the value of <em>X</em> is 1.
The probability of <em>X</em> = 1 is,
<em>P</em> (<em>X</em> = 1) = 0.11
Thus, the value of <em>p</em>ₓ is 0.11.
