For the standard normal distribution determine the probability of the following Z - score: Between 1.5 and 2.75
To find the probability of a Z-score being between 1.5 and 2.75 for the standard normal distribution, we need to use a Z-table or a statistical software program.
Using a Z-table, we first find the probability of a Z-score being less than 1.5, which is approximately 0.9332. Then, we find the probability of a Z-score being less than 2.75, which is approximately 0.9970.
Next, we subtract the probability of a Z-score being less than 1.5 from the probability of a Z-score being less than 2.75 to find the probability of the Z-score being between 1.5 and 2.75.
Probability = 0.9970 - 0.9332 = 0.0638
Therefore, the probability of a Z-score being between 1.5 and 2.75 for the standard normal distribution is approximately 0.0638.