# Question: Using the normalization integral for a Gaussian random variable find

Using the normalization integral for a Gaussian random variable, find an analytical expression for the following integral:

Where, a > 0, b, and c are constants.

Where, a > 0, b, and c are constants.

## Answer to relevant Questions

A Gaussian random variable has a probability density function of the form (a) Find the value of the constant. (b) Find the values of the parameters m and σ for this Gaussian random variable. The IQ of a randomly chosen individual is modeled using a Gaussian random variable. Given that 50% of the population have an IQ above 100 ( and 50% have an IQ below 100) and that 50% of the population have an IQ in the range ...A random variable, , has a PDF given by (a) List all constraints on the constants a, b, and c that must be satisfied for this to be a valid PDF. (b) In terms of the constants a, b, and c, find Pr (Y >0). Suppose we flip a balanced coin five times and let the random variable represent the number of times heads occurs. (a) Sketch the CDF of X fx (x). (b) Write fx (x), analytically in terms of unit step functions. In this problem, we generalize the results of Exercise. Suppose a discrete random variable takes on nonnegative integer values and has a CDF of the general form (a)What conditions must the sequence ak satisfy for this to be ...Post your question