Q7: Find the K-Map for x in three variables. Q8: In Mumbai, it's rainy one-fourth of the day. Given that it is rainy, there will be heavy traffic with a probability of 1/3, and given that it is not rainy, there will be heavy traffic with a probability of 1/2. If it's rainy and there is heavy traffic, people arrive late for work with a probability of 1/4. On the other hand, the probability of being late is reduced to 1/10 if it is not rainy and there is no heavy traffic. In other situations (rainy and no traffic, not rainy and traffic) the probability of being late is 1/5. You pick a random day What is the probability that it's not raining and there is heavy traffic and people are not late? What is the probability that people are late? Given that people arrived late at work, what is the probability that it rained that day? Given that there is heavy traffic, what is the probability that it rained that day? Given that it's a rainy day, what is the probability of getting struck in heavy traffic and not getting late for work? S. Given that it's a heavy traffic day, what is the probability of a rainy day and not getting late for work? vii) What is the probability of not getting stuck in heavy traffic? [Mark: 30]