The percent of calories from fat that a person in the United States consumes is normally distributed with a mean of about.

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Transcript The percent of calories from fat that a person in the United States consumes is normally distributed with a mean of about.

Slide 1

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen.
• Let X = the percent of calories from fat
•  = 36 percent
•  = 10 percent
• X ~ N( 36, 10 )

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen. Find the
probability that the percent of calories a person consumes
from fat is more than 40.
Probability Statement: P(X > 40)=0.3446

Calculator steps:
2nd, DIST,normalcdf(40,1E99,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is less than 50.

Probability statement: P(X < 50)=0.9192

Calculator steps:
2nd, DISTR,normalcdf(-1E99,50,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is between 30 and 40.
Probability Statement: P(30 < X < 40) = 0.0.3812
Calculator steps:
2nd, DISTR,normalcdf(30,40,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the lower quartile of percent of calories from fat.
(Find the 25th percentile.)
Let k = the 25th percentile.

Probability statement: P(X < k) = 0.25
k = 29.26 calories
Calculator steps to find k:

2nd,DISTR,invNorm(0.25,36,10), Enter


Slide 2

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen.
• Let X = the percent of calories from fat
•  = 36 percent
•  = 10 percent
• X ~ N( 36, 10 )

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen. Find the
probability that the percent of calories a person consumes
from fat is more than 40.
Probability Statement: P(X > 40)=0.3446

Calculator steps:
2nd, DIST,normalcdf(40,1E99,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is less than 50.

Probability statement: P(X < 50)=0.9192

Calculator steps:
2nd, DISTR,normalcdf(-1E99,50,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is between 30 and 40.
Probability Statement: P(30 < X < 40) = 0.0.3812
Calculator steps:
2nd, DISTR,normalcdf(30,40,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the lower quartile of percent of calories from fat.
(Find the 25th percentile.)
Let k = the 25th percentile.

Probability statement: P(X < k) = 0.25
k = 29.26 calories
Calculator steps to find k:

2nd,DISTR,invNorm(0.25,36,10), Enter


Slide 3

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen.
• Let X = the percent of calories from fat
•  = 36 percent
•  = 10 percent
• X ~ N( 36, 10 )

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen. Find the
probability that the percent of calories a person consumes
from fat is more than 40.
Probability Statement: P(X > 40)=0.3446

Calculator steps:
2nd, DIST,normalcdf(40,1E99,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is less than 50.

Probability statement: P(X < 50)=0.9192

Calculator steps:
2nd, DISTR,normalcdf(-1E99,50,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is between 30 and 40.
Probability Statement: P(30 < X < 40) = 0.0.3812
Calculator steps:
2nd, DISTR,normalcdf(30,40,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the lower quartile of percent of calories from fat.
(Find the 25th percentile.)
Let k = the 25th percentile.

Probability statement: P(X < k) = 0.25
k = 29.26 calories
Calculator steps to find k:

2nd,DISTR,invNorm(0.25,36,10), Enter


Slide 4

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen.
• Let X = the percent of calories from fat
•  = 36 percent
•  = 10 percent
• X ~ N( 36, 10 )

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen. Find the
probability that the percent of calories a person consumes
from fat is more than 40.
Probability Statement: P(X > 40)=0.3446

Calculator steps:
2nd, DIST,normalcdf(40,1E99,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is less than 50.

Probability statement: P(X < 50)=0.9192

Calculator steps:
2nd, DISTR,normalcdf(-1E99,50,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is between 30 and 40.
Probability Statement: P(30 < X < 40) = 0.0.3812
Calculator steps:
2nd, DISTR,normalcdf(30,40,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the lower quartile of percent of calories from fat.
(Find the 25th percentile.)
Let k = the 25th percentile.

Probability statement: P(X < k) = 0.25
k = 29.26 calories
Calculator steps to find k:

2nd,DISTR,invNorm(0.25,36,10), Enter


Slide 5

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen.
• Let X = the percent of calories from fat
•  = 36 percent
•  = 10 percent
• X ~ N( 36, 10 )

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 and a standard deviation of 10.
Suppose that one individual is randomly chosen. Find the
probability that the percent of calories a person consumes
from fat is more than 40.
Probability Statement: P(X > 40)=0.3446

Calculator steps:
2nd, DIST,normalcdf(40,1E99,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is less than 50.

Probability statement: P(X < 50)=0.9192

Calculator steps:
2nd, DISTR,normalcdf(-1E99,50,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the probability that the percent of calories a person
consumes from fat is between 30 and 40.
Probability Statement: P(30 < X < 40) = 0.0.3812
Calculator steps:
2nd, DISTR,normalcdf(30,40,36,10),Enter

The percent of calories from fat that a person in the
United States consumes is normally distributed with a
mean of about 36 calories and a standard deviation of 10
calories. Suppose that one individual is randomly chosen.
Find the lower quartile of percent of calories from fat.
(Find the 25th percentile.)
Let k = the 25th percentile.

Probability statement: P(X < k) = 0.25
k = 29.26 calories
Calculator steps to find k:

2nd,DISTR,invNorm(0.25,36,10), Enter