Final answer:
To find P(-2.25 < Z < 0) using the standard normal distribution, calculate the probability value and the corresponding Z-scores.
Step-by-step explanation:
To find the probability P(-2.25 < Z < 0) using the standard normal distribution, we need to calculate the probability value and the corresponding Z-scores.
a) Probability value: We can find the probability value by finding the area under the standard normal curve between -2.25 and 0. This can be done by subtracting the area to the left of -2.25 from the area to the left of 0. You can use a z-table or a calculator to find these probabilities.
b) Z-scores: The Z-scores represent the number of standard deviations a value is from the mean. To find the Z-scores for -2.25 and 0, you can use the formula z = (x - mean) / standard deviation, where x represents the value and mean and standard deviation represents the mean and standard deviation of the standard normal distribution, which are 0 and 1 respectively.