In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons.  1)  What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014?2)  What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014?3)  Ninety-five percent of the people in the United States consumed less than how many gallons of soft drinks?

Question
Asked Oct 11, 2019
  1.  In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons. 

 

1)  What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014?

2)  What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014?

3)  Ninety-five percent of the people in the United States consumed less than how many gallons of soft drinks?

check_circle

Expert Answer

Step 1

1.

Probability that someone consumed more than 60 gallons of soft drinks can be obtained by entering the formula “=1-NORM.DIST(60,42.1,13,TRUE)” in EXCEL software.

-1-NORM.DIST(60,42.1, 13,TRUE)
F
G
0.084268
LL
help_outline

Image Transcriptionclose

-1-NORM.DIST(60,42.1, 13,TRUE) F G 0.084268 LL

fullscreen
Step 2

2.

Probability that someone consumed between 15 and 30 gallons of soft drinks can be obtained by entering the formula &ldq...

=NORM.DIST(30,42.1,13,TRUE)- NORM. DIST(15,42. 1, 13,TRUE)
E
F
H
0.157434
LL
help_outline

Image Transcriptionclose

=NORM.DIST(30,42.1,13,TRUE)- NORM. DIST(15,42. 1, 13,TRUE) E F H 0.157434 LL

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
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: 23. One graph in the figure on the following page represents a normal distribution with mean = 10 an...

A: Here, the two graphs are labelled as A and B with mean 10.

question_answer

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you bel...

A: Sample size:The  sample size for a desired confidence level, α with a given margin of error, E is gi...

question_answer

Q: Statistics Question

A: The formula for standard deviation of sample proportion is as follows:

question_answer

Q: The probability that a person in the United States has type B+ blood is 11%. Five untreated people i...

A: We are given that the probability that a person in the United States has Type B+ blood = 0.11. Also ...

question_answer

Q: So, I'm doing an assignment that's due tomorrow for my Statistics II class. In this one portion, we ...

A: Steps to conduct hypothesis test using population proportion:Step1:Suppose a population has true pro...

question_answer

Q: 1. Assume that scores on a bone mineral density test are normally distributed with a mean of 0 and a...

A: The score separating the lowest 9% scores from the highest 91% is obtained below:From the informatio...

question_answer

Q: I need help with this questions. I knoow how to solve for the mean an standard deviation. The rest i...

A: Solution:We are given  that a random number picks a number 17 to 54 in a uniform manner. Therefore, ...

question_answer

Q: A gumball machine has just been filled with 50 black, 150 white, 100 red, and 100 yellow gumballs th...

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

question_answer

Q: When comparing multiple categories from different populations, a _____________ or a _____________ ca...

A: ANOVA :- It is used to compare the means of more than two sample from  different populations. It is ...