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, 35 brand B widgets, 25 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 0.051. What is the value of x?  Choose one:  A) 0.02  B) 0.01  C) 0.025  D) 0.03  E) 0.04
Given probability of defective items in each brand,   So, the number of items defective in brand A=x*40, in brand B=0.06*35 and brand 0.025=0.08*25   Total number of widgets=40+35+25= 
<gadget id="calculator">40+35+25</gadget>
<output>100</output>
100   the probability that the widget selected is defective is 0.051=(x*40+0.06*35+0.08*25)/100   =&gt; 40x+2.1+2=5.1   =&gt;40x=1   &gt;x=1/40= 
<gadget id="calculator">1/40</gadget>
<output>1/40 = around 0.025</output>
0.025   Ans 0.025
<result>C</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, 35 brand B widgets, 25 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 0.051. What is the value of x?