menu
bartleby
search
close search
Hit Return to see all results

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36and a standard deviation of 9 Suppose that one individual is randomly chosen Let X percent of fat calories. Round allanswers to 4 decimal places if where possiblea. What is the distribution of X?X ~ N(b. Find the probability that a randomly selected fat calorie percent is more than 33.c. Find the minimum number for the upper quarter of percent of fat calories.

Question
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36
and a standard deviation of 9 Suppose that one individual is randomly chosen Let X percent of fat calories. Round all
answers to 4 decimal places if where possible
a. What is the distribution of X?X ~ N(
b. Find the probability that a randomly selected fat calorie percent is more than 33.
c. Find the minimum number for the upper quarter of percent of fat calories.
help_outline

Image Transcriptionclose

The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 9 Suppose that one individual is randomly chosen Let X percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X?X ~ N( b. Find the probability that a randomly selected fat calorie percent is more than 33. c. Find the minimum number for the upper quarter of percent of fat calories.

fullscreen
check_circleAnswer
Step 1

Given that percent of fat calories that a person consumes in America each day is normally distributed with mean 36 and standard deviation 9.

It is said that one individual is randomly selected .

The central limit theorem states that if you have a population with mean μ and standard deviation σ and with  large random samples from the population with replacement , then the distribution of the sample means will be approximately normally distributed with mean μ and standard deviation σ/√n. where n is sample size.

Here we know population mean μ = 36

population standard deviation = σ = 9

here one individual is selected so sample size n = 1.

So sample mean = 36 and sample standard deviation = σ/√n = 9/√1 = 9.

So X is normally distributed with mean 36 and variance 9^2 = 81. - N(36,81)

Step 2

We need probability that randomly selected fat percentage is more than 33.

We need P(X > 33) we write in terms of Z score as we know X - N(36,81), we get ...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: What’s the mean annual return of the S&P 400 Midcap Index over the past 7 years?  What’s the sta...

A: Hello there! there are more than three sub parts in the given question. According to our policies we...

question_answer

Q: Professor Jennings claims that only 35% of the students at Flora College work while attending school...

A: (a) Level of significance:It is given that to test whether more than 35% of the students have jobs, ...

question_answer

Q: Suppose that young adults own an average of three pairs of jeans. Survey eight people from your clas...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

question_answer

Q: Linear Programming Problem A manufacturer of three models of tote bag must determine the production ...

A: This can be solved using Solver tool in Excel. Go to Data tab in Excel and check if you see Solver u...

question_answer

Q: A car dealer wants to get information about the number of years car owners keep their cars. A random...

A: Here, µ be the true population mean and n is the sample size.The (1-α) % confidence interval for pop...

question_answer

Q: A hospital reported that the normal death rate for patients with extensive burns (more than 40% of s...

A: The provided information are:

question_answer

Q: Var Adn Cater Graded Assignment 3 ue: 08/01 Plesse, show your work ond write your answers in full se...

A: Preliminary calculations:The probability distribution is constructed as follows.

question_answer

Q: A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters...

A: Given that in any large audience you will hear that 15 coughs per minute. r is the number of coughs ...

question_answer

Q: (a) In the random number table, assign the digits 0 through 8 to the event "successful surgery" and ...

A: Total number of digits assigned to event "successful surgery" (0-8) = 9Total number of digits assign...

Sorry about that. What wasn’t helpful?