or a standard normal distribution, the probability of z <= 0 isGroup of answer choiceszero1-.5.5
Question
For a standard normal distribution, the probability of z <= 0 is
Group of answer choices
- zero
- 1 - .5
- .5
Solution
The answer is .5.
Here's why:
A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. The z-score represents the number of standard deviations a data point is from the mean.
In a standard normal distribution, the mean splits the distribution perfectly in half. This means that 50% of the data falls below the mean and 50% falls above the mean.
Since the mean of a standard normal distribution is 0, the probability that z is less than or equal to 0 is 0.5, or 50%.
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