Final answer:
To find the probability of p(-0.73 < z < 2.27), calculate the z-score and look it up in the z-table. Subtract the areas under the normal curve corresponding to the two z-scores to find the probability.
Step-by-step explanation:
The probability is represented by the area under the normal curve. To find the probability, calculate the z-score and look up the z-score in the z-table under the z-column. Most z-tables show the area under the normal curve to the left of z.
To find the probability of p(-0.73 < z < 2.27), we need to find the area under the normal curve between these two z-scores. First, look up the z-scores for -0.73 and 2.27 in the z-table. The area to the left of -0.73 is 0.2327 and the area to the left of 2.27 is 0.9884. Subtracting these two areas gives the probability: 0.9884 - 0.2327 = 0.7557. Therefore, the probability is 0.7557.