document.write( "Question 1164478: Let be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.\r
\n" );
document.write( "\n" );
document.write( " p(Z ╪ c)= 0.7088\r
\n" );
document.write( "\n" );
document.write( "Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. \n" );
document.write( "
Algebra.Com's Answer #854348 by CPhill(2261) 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.\r \n" ); document.write( "\n" ); document.write( "### **Steps to Determine $c$**\r \n" ); document.write( "\n" ); document.write( "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 $c$. \n" ); document.write( "2. **Look up the Z-table:** We look through the body of the Z-table to find the value closest to **0.7088**. \n" ); document.write( " * Looking at the row for **0.5**, we find the value **0.7088** exactly at the intersection with the column **0.05**. \n" ); document.write( "3. **Combine the Values:** \n" ); document.write( " * Row: **0.5** \n" ); document.write( " * Column: **0.05** \n" ); document.write( " * $c = 0.5 + 0.05 = 0.55$\r \n" ); document.write( "\n" ); document.write( "### **Final Answer** \n" ); document.write( "The value of $c$ is **0.55**. \n" ); document.write( " |