What is the probability of randomly selecting a z-score less than z = 0.80 from a normal distribution?
a)-0.2119
b)0.7881
c)0.2119
d)-0.7881
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to your Z score.
Hint: probability can only be positive.
To find the probability of randomly selecting a z-score less than z = 0.80 from a normal distribution, you need to use a standard normal distribution table or a statistical calculator.
Here's how you can find the answer using a standard normal distribution table:
1. Look up the value 0.80 in the standard normal distribution table.
2. Locate the row that corresponds to 0.8 in the table.
3. Find the column that corresponds to the decimal place of 0.80 (0.00) in the table.
4. The value in the intersection of the row and column gives you the area (probability) to the left of the z-score.
5. Read the value from the table, which is 0.7881.
Therefore, the correct answer is b) 0.7881.
Please note that negative values are not applicable for probabilities, so options a) and d) are incorrect.