SAT math scores follow a normal distribution with a mean of 511 and a standard deviation of 110. Suppose we choose a student at random. For each question, sketch the normal curve, shade the appropriate area, calculate a z. score and then answer the question.

1. What is the probability that the student scores less than 450?
2. What is the probability that the student scores greater than 600?
3. What is the probability that the student scores between 450 and 600?
4. Doc scored a 692. What is P(x > 692)?