A popular news magazine wants to write an article on how much Americans know about geography. They devise a test that lists 100 cities in the US, all of them mentioned in the news magazine in the last year. Each respondent must guess the state in which the city can be found. Some examples were: (Los Angeles, Tucson, Biloxi.) Each correct answer earns one point. Assume the scores have normal distribution with mean 62 and standard deviation 12. a. What is the probability of scores are between 50 and 74 points?b. A score of 45 is considered a poor performance. What percentage of scores is below this score?