1. Construction company A+A is responsible for a stretch of road 3 miles long. The distance at which any defects occurs can be represented by a uniformly distributed random variables, with probability density function, f(x)=0.3. Find the cumulative distribution function and the probability that any given defects occur between 1.5 miles and 2.5 miles along the stretch of road?
2. A client has an investment portfolio with mean value is equal to 4500 USD, with a standard deviation of 300 USD. What is the probability that the value of her portfolio is between 3900 USD AND 5400 USD?