Between 500,000 and 600,000 P(500,000 < x < 600, 000) = P(|
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 6CR
Related questions
Question
![**Normal Distribution**
**Instructions:** Assume that the distribution for the following scenario is normal. Use the standard normal table to find the probability. Round z-scores to the nearest hundredth. Do not round the probability from the table.
The average daily jail population in the United States is 618,319. If the distribution is normal and the standard deviation is 50,200, find the probability that on a randomly selected day, the jail population is:
Between 500,000 and 600,000
\( P(500,000 < x < 600,000) = P( \_\_\_\_ < z < \_\_\_\_ ) \)
\[ \text{Between \_\_\_\_ and \_\_\_\_ } = \_\_\_\_ - \_\_\_\_ = \_\_\_\_ \]
**[Check]**
(Note: The equation with blanks is structured for students to fill in the z-scores and probabilities based on calculations.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf3f6da9-2dbe-4cca-9f2b-ecba0aaaf1f6%2F4b62ecb6-2c66-4ac6-86c7-262a2c788a24%2Facxy1s_processed.png&w=3840&q=75)
Transcribed Image Text:**Normal Distribution**
**Instructions:** Assume that the distribution for the following scenario is normal. Use the standard normal table to find the probability. Round z-scores to the nearest hundredth. Do not round the probability from the table.
The average daily jail population in the United States is 618,319. If the distribution is normal and the standard deviation is 50,200, find the probability that on a randomly selected day, the jail population is:
Between 500,000 and 600,000
\( P(500,000 < x < 600,000) = P( \_\_\_\_ < z < \_\_\_\_ ) \)
\[ \text{Between \_\_\_\_ and \_\_\_\_ } = \_\_\_\_ - \_\_\_\_ = \_\_\_\_ \]
**[Check]**
(Note: The equation with blanks is structured for students to fill in the z-scores and probabilities based on calculations.)
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