EE-605 Probability and Stochastic Processes I, Spring 2019 Problem 5: A bin contains 3 different types of disposable flashlights. The probability...

Give your answer in detail , question from the xourae probability and stochastic process

EE-605 Probability and Stochastic Processes I, Spring 2019Problem 5: A bin contains 3 different types of disposable flashlights. The probability that a type 1 flashlightwill give over 100 hours of use is .7, with the corresponding probabilities for type 2 and type 3 flashlights being.4 and .3, respectively. Suppose that 20 percent of the flashlights in the bin are type 1, 30 percent are type 2, and50 percent are type 3.(a) What is the probability that a randomly chosen flashlight will give more than 100 hours of use?(b) Given that a flashlight lasted over 100 hours, what is the conditional probability that it was a type jflashlight, j = 1, 2, 3?