Final answer:
The expected value of the Gaussian random variable X is already given as 40, which means it is the mean of the distribution and represents the average outcome of X.
Step-by-step explanation:
The student is asking about the expected value of a Gaussian (normal) random variable X. The expected value, also denoted as E[X], is the mean of the random variable. For a Gaussian random variable, the expected value is the peak of the bell curve and represents the average or center of the distribution. In this case, the student has already provided that E[X] = 40, which is the expected value of the random variable X.
Generally, the mean of a normal distribution is used in calculations of probabilities and other statistics, such as finding the likelihood of observing a value within a certain range. When you take samples of sufficient size from any population, the distribution of the sample mean will be approximately normal (Central Limit Theorem).
Therefore, the expected value of the Gaussian random variable X is 40.