1/4/2023-HW Normal Distribution

Last updated over 2 years ago
21 questions

https://www.desmos.com/testing/virginia/graphing

Required
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A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. In show your work, label the information appropriately, providing the correct information across the bottom and include the % for each section of standard deviation.

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A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the percentage of scores that are higher than 72?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

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1

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the percentage of scores that are lower than 77?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

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1

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3. What is the probability that the score is between 66 and 75?

Please input your answer as a decimal to the thousands place. (ex. 0.256)

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A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3.
How many golfers scored between 74 and 83?

Round your answer to the nearest whole number, if necessary. (no units please)

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1

A set of 125 golf scores are normally distributed with a mean of 76 and a standard deviation of 3.
How many scores fell within one standard deviation of the mean?

Round your answer to the nearest whole number, if necessary. (no units required)

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1

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. In show your work, label the information appropriately, providing the correct information across the bottom and include the % for each section of standard deviation.

Required
1

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life of 289 minutes or longer?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

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1

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life between 270 minutes and 325 minutes?

Please input your answer as a percentage to the tenths place (ex. 23.4%)

Required
1

The talk-time battery life of a group of cell phones is normally distributed with a mean of 300 minutes and a standard deviation of 15 minutes. What percentage of the phones have a battery life below 255 minutes?

Please input your answer as a percentage to the thousandths place (ex. 0.412%)

Required
1

The number of hours that the employees at the grocerty store worked last week is normally distributed with a mean of 24 and a standard deviation of 6. If there are 60 total employees, approximately how many worked at 29 hours or more last week?

round your answer to the nearest whole number. (no units required)

Required
1

The grade point average (GPA) of the students at Lakeview High School is normally distributed with a mean of 3.1 and a standard deviation of 0.3 If there are 1800 students enrolled at the school, approximately how many have a GPA between 2.5 and 3.7?

round your answer to the nearest whole number. (no units required)

SOL Review
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You'll need to create a mini sequence from row 8 to 20...use it to find the 'd'...then create another mini sequence from row 20 to row 80 to get the final answer.

This would be considered a tough one...would be worth more than others...but technically, if you can find the 'd', you could walk your way up to the 80th term.

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Review from yesterday's assignment...

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This is from the variation lesson from on 2/3/2022.

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What % of data will show 45 or greater text messages? (well, this is all about the current lesson...)

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If you're not sure, type each one into desmos and it will give you the answer.

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Desmos could help you here, but I'm hopeful, you can figure this one out regardless.

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upload your pages of work here--page 1

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upload your pages of work here--page 2

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upload your pages of work here--page 3