Question

the arrows can only be dragged to z scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). select from the drop down menu to shade to the left, to the right, between or left and right of the z - score.
a) sketch the region corresponding to the statement ( p(1.1 < z < 2.3) ).
shade: left of a value. click and drag the arrows to adjust the values.
b) find ( p(1.1 < z < 2.3) ) (round answer to 4 decimal places.)
question help: message instructor

Explanation:

Step1: Use the property of standard normal distribution

We know that \(P(a < Z < b)=P(Z < b)-P(Z < a)\) for a standard - normal random variable \(Z\).

Step2: Look up the values in the standard normal table

From the standard normal table (or using a calculator with a normal - distribution function), \(P(Z < 2.3)\) and \(P(Z < 1.1)\) are found.
The standard normal table gives \(P(Z < 2.3)=0.9893\) and \(P(Z < 1.1)=0.8643\)

Step3: Calculate the probability

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Answer:

\(0.1250\)