Respuesta :
Answer: The normal distribution is the most important distribution. It describes well the
distribution of random variables that arise in practice, such as the heights or weights
of people, the total annual sales of a firm, exam scores etc. Also, it is important for the
central limit theorem, the approximation of other distributions such as the binomial,
etc.
• We say that a random variable X follows the normal distribution if the probability
density function of X is given by
f(x) = 1
σ
√
2π
e
− 1
2
(
x−µ
σ
)
2
, −∞ < x < ∞
This is a bell-shaped curve.
• We write X ∼ N(µ, σ). We read: X follows the normal distribution (or X is normally
distributed) with mean µ, and standard deviation σ.
Step-by-step explanation:
