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Cat Behavior A report stated that the average number of times a cat returns to its food bowl during the day is 37. Assuming the variable iswith a standard deviation of 3, what is the probability that a cat would return to its dish between 34 and 39 times a day? Use a graphing calculator.answer to four decimal places.P (34< X<39)

Cat Behavior A report stated that the average number of times a cat returns to its food bowl during the day is 37 Assuming the variable iswith a standard deviat class=

Respuesta :

Given the z-score formula

[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \sigma\Rightarrow s\tan dard\text{ deviation} \\ \mu\Rightarrow\text{mean} \\ x\Rightarrow\text{score} \\ \mu=37 \\ \sigma=3 \end{gathered}[/tex]

Find the z-score for each score

[tex]\begin{gathered} x_1=34 \\ z_1=\frac{34-37}{3}=\frac{-3}{3}=-1.00 \end{gathered}[/tex][tex]\begin{gathered} x_2=39 \\ z_2=\frac{39-37}{3}=\frac{2}{3}=0.6667 \end{gathered}[/tex]

The are

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