What is the probability of the following
1. P (0< z < 1.46)?​

Approximately .

Step-by-step explanation:

(This approach requires looking up values on a -table. Calculators aren't required.)

A typical -table lists probabilities in the form (or equivalently, ,) where is real number (typically greater than or equal to .)

However, the question asks for a probability in the form . It would be necessary to rewrite this probability for this -table approach to work.

Let and denote two real numbers, with . would be equal to . In this question:

.

Look up the value of on a -table: .

On the other hand, because the Gaussian distribution is symmetric.

Therefore:

.

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