A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars?

Respuesta :

Find the z score for each price range:

Z score for 37 = 37-45/5 = -1.6 from z table -1.6 = 0.0548

Z score for 59.35 = 59.35-45/5 = 2.87

From the z table 2.87 = 0.9979

Now to find the proportion between the two prices subtract:

0.9979 - 0.0548 = 0.9431

Answer:

0.9431

Step-by-step explanation:

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