Calculation of the cumulative frequency and probability of a normal distribution

The function f(x) represents the frequency of occurrence of the v...

Question

Calculation of the cumulative frequency and probability of a normal distribution

The function f(x) represents the frequency of occurrence of the value x.
The integral of f(x) provides the cumulative frequency, which is the probability of x being less than or equal to x0.
The normal distribution is symmetric around the mean.
The area under the normal distribution curve represents the probability of a random variable being within a certain range.
a) Statements I, II and III are correct.
b) Statements II, III and IV are correct.
c) Statements I, III and IV are correct.
d) All statements are correct.

Ed · Answer

A alternativa correta é a letra C) As afirmações I, III e IV estão corretas.

I. A função f(x) representa a frequência de ocorrência do valor x.
III. A distribuição normal é simétrica em torno da média.
IV. A área sob a curva da distribuição normal representa a probabilidade de uma variável aleatória estar dentro de uma determinada faixa.

A afirmação II está incorreta, pois a integral de f(x) fornece a frequência acumulada, que é a probabilidade de x ser menor ou igual a x0, e não a probabilidade de x ser maior que x0.

Calculation of the cumulative frequency and probability of a normal distribution The function f(x) represents the frequency of occurrence of the v...

Cálculo Numérico

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