The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 30 brand B widgets, 30 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?  Select the correct option
A) 0.02 B) 0.095 C) 0.03 D) 0.0275 E) 0.4
Given probability of defective items in each brand,   So, the number of items defective in brand A=x*40, in brand B=0.06*30 and brand C=0.08*30   Total number of widgets=40+30+30= 
<gadget id="calculator">40+30+30</gadget>
<output>100</output>
100   the probability that the widget selected is defective is 0.053=(x*40+0.06*30+0.08*30)/100   =&gt; 40x+1.8+2.4 =5.3   =&gt;40x=1.1   &gt;x=1.1/40= 
<gadget id="calculator">1.1/40</gadget>
<output>0.0275</output>
0.0275   Ans 0.0275
<result>D</result>
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 30 brand B widgets, 30 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?