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? the probability is less than p%. the probability is equal to p%. the probability is greater than p%. the 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? the probability is less than p%. the probability is equal to p%. the probability is greater than p%. the probability is not equal to p%.

Answer

Explanation:

Step1: Recall property of normal distribution

The standard - normal distribution is symmetric about the mean ($\mu = 0$). The probability of a random variable being greater than or equal to $z$ standard deviations from the mean is the same as the probability of it being less than or equal to $-z$ standard deviations from the mean due to this symmetry.

Answer:

The probability is equal to $p%$.