What is the formula for fZ(z)?
To determine the formula for fZ(z), we need to know the context in which the letter 'Z' is being used. In mathematics and statistics, Z often represents a standard normal random variable, which follows a normal distribution with mean 0 and standard deviation 1.
In this case, the formula for fZ(z) refers to the probability density function (PDF) of the standard normal distribution.
The formula for fZ(z) is given by:
fZ(z) = (1 / √(2π)) * e^(-z^2/2)
In this formula, e refers to the mathematical constant Euler's number, approximately equal to 2.71828, and π is the mathematical constant pi, approximately equal to 3.14159.
To calculate the value of fZ(z) for a specific value of z, you can substitute that value into the formula and perform the necessary mathematical operations.
The formula for fZ(z), which represents the probability density function (PDF) of a standard normal distribution, is given by:
fZ(z) = (1 / √(2π)) * e^(-z^2 / 2)
In this formula, "e" represents the mathematical constant Euler's number (approximately 2.71828), and "^" denotes exponentiation.