2. In all major Canadian cities, hospitals are experiencing an increase in the number of patients admitted to an intensive care unit (ICU). In a certain hospital, 35% of ICU patients have Covid-19. What is the probability that in a hospital room of 10 ICU patients, at least 2 patients have Covid-19?

4. Using tap water for drinking is the ecological alternative to bottled water. Water supplied by the City of Ottawa is lead-free, but old houses (built before 1950) may contain lead pipes, and traces amount of lead from the pipes can dissolve into the water. Due to increasing concerns about negative health effects of lead in children, Health Canada has established a new maximum allowable concentration for lead in drinking water of 5 ppb. Assume that the amount of lead contained in the water of a house built in Ottawa before 1950 is normally distributed with mean 3.5 ppb and standard deviation 1.5. (a) What is the probability that a randomly chosen house in Ottawa, which was built before 1950, exceeds the maximum allowable concentration for lead in water? (b) In a sample of 8 Ottawa houses which were built before 1950, what is the probability that exactly 3 exceed the maximum allowable concentration for lead in water