Cat Behavior A report stated that the average number of times a cat returns to its food bowl during the day is 35. Assuming the variable is normally distributed with a standard deviation of 4, what is the probability that a cat would return to its dish between 33 and 38 times a day? Round the final answer to four decimal places and intermediate z-value calculations to 2 decimal places. P(33

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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 35. Assuming the variable is normally distributed with a standard deviation of 4, what is the probability that a cat would return to its dish between 33 and 38 times a day? Round the final answer to four decimal places and intermediate z-value calculations to 2 decimal places.

\[ P(33 < X < 38) = \]

[Editable section for inputting calculation]

**Instructions:**
- Use the standard normal distribution to calculate the probability.
- First, find the z-scores for 33 and 38.
- Then, use the z-table or a calculator to find the probabilities for these z-scores.
- Subtract these probabilities to find the probability of the cat returning to its dish between 33 and 38 times a day.

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Transcribed Image Text:**Cat Behavior** A report stated that the average number of times a cat returns to its food bowl during the day is 35. Assuming the variable is normally distributed with a standard deviation of 4, what is the probability that a cat would return to its dish between 33 and 38 times a day? Round the final answer to four decimal places and intermediate z-value calculations to 2 decimal places. \[ P(33 < X < 38) = \] [Editable section for inputting calculation] **Instructions:** - Use the standard normal distribution to calculate the probability. - First, find the z-scores for 33 and 38. - Then, use the z-table or a calculator to find the probabilities for these z-scores. - Subtract these probabilities to find the probability of the cat returning to its dish between 33 and 38 times a day. **Submit Assignment** (Button) **Continue** (Button)
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