Practice with Normcdf & InvNorm

A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars.

What proportion of shirt prices are between 37 dollars and 59.35 dollars?

Tags

CCSS.HSS.ID.A.4

A set of chemistry exam scores are normally distributed with a mean of 70 points and a standard deviation of 5 points.

What proportion of exam scores are between 68 and 73 points?

Tags

CCSS.HSS.ID.A.4

A set of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars.

What proportion of sofa prices are higher than the price of the leather sofa?

A set of chemistry exam scores are normally distributed with a mean of 70 points and standard deviation of 4 points. Cam got a score of 65 points on the exam.

What proportion of exam scores are higher than Cam's score?

Tags

CCSS.HSS.ID.A.4

A set of biology exam scores are normally distributed with a mean of 60 points and a standard deviation of 6 points. Annie got a score of 51 points on the exam.

What proportion of exam scores are lower than Annie's score?

Tags

CCSS.HSS.ID.A.4

A set of middle school student heights are normally distributed with a mean of 150cm and a standard deviation of 20cm. Ian is a middle school student with a height of 165cm.

What proportion of student heights are lower than Ian's height?

Tags

CCSS.HSF-LE.A.1B

The distribution of waist circumferences of US adult men randomly selected for a research study was approximately normal with a mean of 94cm and a standard deviation of 11cm.

A clothing store that specializes in serving larger men aims to sell clothing that will fit men with the top 35% of waist circumferences.

What is the minimum waist circumference of men whom the store aims to serve? (Round to the nearest whole number.)

Tags

CCSS.HSS.ID.A.4

The distribution of reading scores in the 4th grade at Truman Elementary was approximately normal with a mean of 221 and standard deviation of 36.

All students whose reading score is in the top 10% get to go to a party at the end of the semester.

What is the cut-off score for the top 10%? (Round to the nearest whole number.)

Tags

CCSS.HSS.ID.A.4

The distribution of sales for a store's employees was approximately normal with a mean of $2,000 and a standard deviation of $150.

The employees who are in the lower 5% of sales are getting fired.

How much sales must the employee do in order to not get fired? (Round to the nearest whole number.)

Tags

CCSS.HSS.ID.A.4