Factory X's bulbs work for over 5000 hours in 37% of cases, whereas factory Y's bulbs work for over 5000 hours in 75% of cases. It is known that factory X supplies 40% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?	Select the correct option:
A) 56.4%  B) 58%  C) 57.4%  D) 55%  E) 59.8%
For X, 40% of 37% will work.   For Y, 60% of 75% will work. *60% is the rest of the bulb supply in the market.   So, the probability that a purchased bulb will work is:   0.40(0.37) = .148   0.60(0.75) = 0.45   The combined probability then is 14.8 + 45= 
<gadget id="calculator">14.8 + 45</gadget>
<output>59.8</output>
59.8%   ANS 59.8%
<result>E</result>
Factory X's bulbs work for over 5000 hours in 37% of cases, whereas factory Y's bulbs work for over 5000 hours in 75% of cases. It is known that factory X supplies 40% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?