A) What is the probability that daily production is less than 30.8 liters? Use technology (not tables) to get your probability. Answer= your answer to 4 decimal places.) (Round B) What is the probability that daily production is more than 22 liters? Use technology (not tables) to get your probability.

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Author:Amos Gilat
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**Educational Exercise: Probability of Milk Production**

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters and a standard deviation of 8.7 liters.

**Problem A:**
What is the probability that daily production is **less than 30.8 liters**? Use technology (not tables) to get your probability.

- **Answer:** [Input Box] (Round your answer to 4 decimal places.)

**Problem B:**
What is the probability that daily production is **more than 22 liters**? Use technology (not tables) to get your probability.

- **Answer:** [Input Box] (Round your answer to 4 decimal places.)

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Transcribed Image Text:**Educational Exercise: Probability of Milk Production** The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters and a standard deviation of 8.7 liters. **Problem A:** What is the probability that daily production is **less than 30.8 liters**? Use technology (not tables) to get your probability. - **Answer:** [Input Box] (Round your answer to 4 decimal places.) **Problem B:** What is the probability that daily production is **more than 22 liters**? Use technology (not tables) to get your probability. - **Answer:** [Input Box] (Round your answer to 4 decimal places.) [Submit Question Button]
Expert Solution
Step 1

Let X denote the daily production of a herd of cows. Given that X follows N(mean = 30, SD = 8.7), then

Z = (X - mean)/SD follows N(0,1)

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