1. The probability density of a random variable X is given in the figure below. From this density, the probability that X is between 0.56 and 1.76 is: 2. The probability density of a random variable X is given in the figure below. From this density, the probability that X is at least 1.5 is: 3. The probability density of a random variable X is given in the figure below. From this density, the probability that X is at least 1.52 is: 4. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 51.8 min. P(X > 51.8) = (Report answer accurate to 2 decimal places.) 5. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is less than 51 min. P(X < 51) = (Report answer accurate to 2 decimal places.) 6. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min. P(51.5 < X < 51.7) = 7. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.2 and 50.5 min. P(50.2 < X < 50.5) = 8. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.2 and 51.8 min. P(50.2 < X < 51.8) =