Questions: Consider the following interval. the area to the right of z=1.53 Consider the following interval. the area to the right of z=0.16

Solution Steps

We need to find the area to the right of \( z = 1.53 \) under the standard normal curve.

The area to the right of a given \( z \)-score in a standard normal distribution can be found using the complement rule. The total area under the curve is 1, so the area to the right of \( z = 1.53 \) is given by: \[ P(Z > 1.53) = 1 - P(Z \leq 1.53) \]

Using a standard normal distribution table or a calculator, we find: \[ P(Z \leq 1.53) \approx 0.9360 \] Thus, the area to the right is: \[ P(Z > 1.53) = 1 - 0.9360 = 0.0640 \]

Final Answer