the probability that a random variable is greater than or equal to z standard deviations from the mean in a…

the probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. what can be said with certainty about the probability that the random variable is less than or equal to -z standard deviations from the mean?\nthe probability is less than p%.\nthe probability is equal to p%.\nthe probability is greater than p%.\nthe probability is not equal to p%.

the probability that a random variable is greater than or equal to z standard deviations from the mean in a standard normal distribution is p%. what can be said with certainty about the probability that the random variable is less than or equal to -z standard deviations from the mean?\nthe probability is less than p%.\nthe probability is equal to p%.\nthe probability is greater than p%.\nthe probability is not equal to p%.

Answer

Explanation:

Step1: Propiedad de la distribución normal

La distribución normal está simétrica alrededor de la media.

Step2: Relación de probabilidades

Si la probabilidad de que una variable aleatoria sea mayor o igual que $z$ desviaciones estándar de la media es $p%$, debido a la simetría, la probabilidad de que sea menor o igual que $-z$ desviaciones estándar de la media es también $p%$.

Answer:

The probability is equal to $p%$.