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%.

Answers

Answer 1

The thing that can be said with certainty about the probability that the random variable is less than or equal to –z standard deviations from the mean is B. The probability is equal than p%.

What is the probability?

The likelihood of a random variable being z standard deviations from the mean or greater is equivalent to P(Z ≥ z) in a standard normal distribution. Statistical software or a z-table can be utilized to determine this probability.

The symmetry characteristic of the normal distribution denotes that P(Z ≤ -z) = P(Z ≥ z), essentially making the distribution symmetric about the mean. Thus, it follows conclusively that the probability of the random variable being less than or equal to negative z standard deviations from the mean is p%.

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Answer 2

Answer: B

Explanation:


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Answers

Explanation:

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