Question

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true. P (z>c) = 0.2810 Round your answer to two decimal places.

Answer 1

The value of c, rounded to two decimal places, such that P(z > c) = 0.2810, is approximately 0.60.

How to determine the value of c

To determine the value of c such that P(z > c) = 0.2810, use a standard normal distribution table or a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.

Using a calculator, input the value 0.2810 into the inverse normal function or the quantile function to find the corresponding z-score.

By doing so,

c ≈ 0.596

Therefore, the value of c, rounded to two decimal places, such that P(z > c) = 0.2810, is approximately 0.60.