Question

In: Statistics and Probability

Use ONLY the Standard Normal Tables to answer the following... Suppose you know that the probability,...

Use ONLY the Standard Normal Tables to answer the following... Suppose you know that the probability, P ( z > x ) = 0.0028 . What is the value of x ? Answer =______________ (round to four decimal places) Note: Be careful...only use the Z Table...do not use technology or the 68-95-99.7 Rule.

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Expert Solution

Solution:

Find x value using the Standard Normal Table, such that:

P( z > x ) = 0.0028

We use following steps:

P( z < x ) = 1 - P( z > x )

P( z < x ) = 1 - 0.0028

P( z < x ) = 0.9972

Look in z  table for Area = 0.9972 or its closest area and find corresponding value.


Area 0.9972 corresponds to 2.7 and 0.07

that is  x = 2.77

Thus required answer for x = 2.77


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