Question 1164478
To find the value of $c$ for a standard normal random variable $Z$ where $P(Z \le c) = 0.7088$, we need to look up the cumulative area in a standard normal (Z) table.

### **Steps to Determine $c$**

1.  **Identify the Area:** The given probability $P(Z \le c) = 0.7088$ represents the area under the standard normal curve to the left of the value $c$.
2.  **Look up the Z-table:** We look through the body of the Z-table to find the value closest to **0.7088**.
    * Looking at the row for **0.5**, we find the value **0.7088** exactly at the intersection with the column **0.05**.
3.  **Combine the Values:**
    * Row: **0.5**
    * Column: **0.05**
    * $c = 0.5 + 0.05 = 0.55$

### **Final Answer**
The value of $c$ is **0.55**.