Find the probability of a data value < 19.
More information needed. Mean? Standard deviation?
A set of 50 data values has a mean of 27 and a variance of 16.
I. Find the standard score (z) for a data value = 19.
II. Find the probability of a data value < 19.
III. Find the probability of a data value > 19.
To find the probability of a data value less than 19, we need to know the distribution of the data. If we have a dataset with individual values, we can count how many values are less than 19 and divide it by the total number of values in the dataset.
If we have a probability distribution function or a cumulative distribution function, we can evaluate it at 19 to find the probability directly.
Alternatively, if we have a dataset with continuous data that follows a known distribution, such as a normal distribution, we can use the appropriate formula or statistical software to calculate the probability.
Please provide more information about the data or the distribution in order to give a more accurate answer.