Find the probability of a score between the following
scores:
(a) The mean and 1.40
(b) and 1.00
© 60 and 1.20
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To find the probability associated with specific scores, we refer to the standard normal distribution table (Z-table).

(a) The area between the mean (0) and is approximately 0.4192 which indicates that roughly 41.92% of the data falls between these z-scores.

(b) For the range from to , we calculate the area as follows: The cumulative area for is roughly 0.1587, and for it’s approximately 0.9772. So, the probability in between is , or 81.85%.

© To find the probability between a raw score of 60 and , you first convert the raw score into a score using the formula . Assuming the mean and standard deviation are available, you can derive the z-score. Then, for , you can refer to the Z-table, which gives an area of about 0.8849. Subtract any cumulative area to compute the final probability accordingly.