(Solved): A bin contains 3 different types of disposable flashlights. The probability that a type 1 flashligh ...

A bin contains 3 different types of disposable flashlights. The probability that a type 1 flashlight will give over 100 hours of use is \( 0.7 \), with the corresponding probabilities for type 2 and type 3 flashlights being \( 0.4 \) and \( 0.3 \) respectively. Suppose that \( 20 \% \) of the flashlights in the bin are type \( 1,30 \% \) are type 2 , and \( 50 \% \) are type \( 3 . \) A. What is the probability that a randomly chosen flashlight will give more than 100 hours or use? (Round your answer to two decimal places) B. Given that a flashlight lasted over 100 hours, what is the conditional probability that it was I. a type 1 flashlight? (Round your answer to two decimal places) II. a type 2 flashlight? (Round your answer to two decimal places) III. a type 3 flashlight? (Round your answer to two decimal places)