1:

The Stanford-Binet IQ scale is normally distributed, with random normal variable X ~ N(100, 15). For this problem, consider the following IQ scores: 82, 96, 100, 104, 118 (Round your answers to 4 decimal places unless otherwise instructed.)

a. Draw a normal curve, and be sure to:

1. indicate (approximately) where , +, +2, - and -2 fall on the x-axis.
2. indicate (approximately) where each of the IQ scores above fall on the x-axis.

b. For each IQ score above:

1. Convert the IQ score into its corresponding z-score. (Round your z-scores to 2 decimal places.)
2. what is P(X < IQ)?
3. what is P(X > IQ)?
4. If the IQ score is less than , what is P(IQ < X < )?
5. If the IQ score is greater than , what is P( < X < IQ)?