Question 10
DMS lighting produces 3 types of bulbs (Type-A, Type-B and Type-C). The probability that a Type-A bulb will give more than 100 hours (>= 100 hours) of life is 0.8, with the corresponding probabilities of Type-B and Type-C bulbs being 0.6 and 0.7 respectively. In any production, 30% of the bulbs are of Type-A, 35% are of Type-B and 35% are of Type-C. Based on the above data, answer the given subquestions.
What is the probability that a bulb from the production lot will give a life of more than 100 hours? (Note: Input your answer rounded to two decimal places. For example, if your answer is “1.235” then enter the answer as “1.24”)