Assume that blood pressure readings are normally distributed what the mean of 135 and a standard deviation of 4.8. If 35 people are randomly selected, find a probability that they’re mean blood pressure will be less than 137.

Answer :

Step 1

Given;

[tex]\begin{gathered} \mu=135 \\ \sigma=4.8 \\ X=137 \end{gathered}[/tex]

Step 2

State the z-score formula

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Find the z-score

[tex]z=\frac{137-135}{4.8}[/tex][tex]z=\frac{5}{12}[/tex]

Step 3

Find the probability based on the z-score

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