SOLUTION: Let be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c. p(Z ╪ c)= 0.7088 Carry your intermediate computations

Question 1164478: Let be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.
p(Z ╪ c)= 0.7088
Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Answer by CPhill(2261) (Show Source): You can put this solution on YOUR website!
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**.
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