Questions: Find the value of z such that 0.11 of the area lies to the right of z. Round your answer to two decimal places.

Solution Steps

We need to find the value of \( z \) such that 0.11 of the area under the standard normal distribution curve lies to the right of \( z \). This means the area to the left of \( z \) is \( 1 - 0.11 = 0.89 \).

To find \( z \), we look up the cumulative probability of 0.89 in the standard normal distribution table or use a calculator that provides the inverse of the standard normal cumulative distribution function.

Using a standard normal table or calculator, the \( z \)-value corresponding to a cumulative probability of 0.89 is approximately \( 1.23 \). Rounding to two decimal places, the value of \( z \) is \( 1.23 \).

Final Answer