Question

For a standard normal distribution, given:

P(z < c) = 0.9467

Find c.

Answer 1

To find c, we can use a standard normal distribution table or a calculator that provides the inverse cumulative distribution function

Explanation:

Look up the probability 0.9467 in the body of the table.

The closest value to this probability in the table is 0.9474.

In the row and column headers of the table, find the corresponding values that bracket 0.9474. The row header will give the first digit(s) of c, and the column header will give the second digit(s) of c.

Interpolate within the table to find the exact value of c.

For this problem, we find that c is approximately 1.63.