Final answer:
To determine the value of c in the equation P(c ≤ Z ≤ -1.12) = 0.1167, we find the corresponding z-score for the given probability. The value of c is approximately 1.19 or less than 1.19.
Step-by-step explanation:
To determine the value of c in the equation P(c ≤ Z ≤ -1.12) = 0.1167, we need to find the corresponding z-scores for the given probability. Since the z-table provides the area to the left of a z-score, we subtract the given probability from 1 to find the area to the right.
Looking up a z-score where the area to the right is 0.1167, we find the corresponding z-score to be approximately 1.19. Therefore, c ≤ 1.19.