A study discovered that Americans consumed an average of 13.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.4 pounds. Complete parts a through e below. a. What is the probability that an American will consume less than 9 pounds of chocolate next year? (Round to four decimal places as needed.) b. What is the probability that an American will consume more than 11 pounds of chocolate next year? (Round to four decimal places as needed.) c. What is the probability that an American will consume between 10 and 14 pounds of chocolate next year? (Round to four decimal places as needed.) d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? (Round to four decimal places as needed.) e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)

A study discovered that Americans consumed an average of 13.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.4 pounds. Complete parts a through e below. a. What is the probability that an American will consume less than 9 pounds of chocolate next year? (Round to four decimal places as needed.) b. What is the probability that an American will consume more than 11 pounds of chocolate next year? (Round to four decimal places as needed.) c. What is the probability that an American will consume between 10 and 14 pounds of chocolate next year? (Round to four decimal places as needed.) d. What is the probability that an American will consume exactly 12 pounds of chocolate next year? (Round to four decimal places as needed.) e. What is the annual consumption of chocolate that represents the 80th percentile? The 80th percentile is represented by an annual consumption of pounds of chocolate. (Type an integer or decimal rounded to one decimal place as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

Q: According to Money magazine, Maryland had the highest median annual household income of any state in…

Q: An insurance salesperson sells an average of 4.90 policies per day. Let x denote the number of…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ = 105 and a…

A: Here given situation is of normal distribution, which is continuous distribution. Let X : IQ of…

Q: Assume that a distribution of 10000 scores is normally distributed with a mean of 90 and a standard…

Q: Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test…

A: Solution : Mean, μ = 100 Standard deviation, σ = 15 z score corresponding to the value of IQ score,…

Q: The average life of a smartphone is 7 years with a standard deviation of 1 year. Assuming that the…

A: Let X denotes the life of smartphones. Given that X follows approximately N(μ=7,σ2=12). The sample…

Q: A variable x has a mean, p, of 30 and a standard deviation, o, of 5. What is the standardized…

A: From the given information, Mean = 30 Standard deviation = 5 The objective is to find the…

Q: If z is a standard normal variable, find the probability. The probability that z lies between -1.10…

A: We have to find the probability. The probability that z lies between -1.10 and -0.36.

Q: A survey indicates that people use their computers an average of 4.5 years before buying a new one.…

A: GivenMean(μ)=4.5standard deviation(σ)=0.75

Q: A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4.…

A: Given datanormal distribution μ=79.3σ=7.4choose a random score less than or equal to this 0.0078we…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Here, µ=0°C, σ=1.00°C.

Q: The mean length of a human pregnancy is 265days, with a standard deviation of 9 days. Use the…

Q: What requirements are necessary for a normal probability distribution to be a standard normal…

A: According to the given information, we haveNormal probability distribution is given.

Q: The population mean annual salary for plumbers is $49,000. A random sample of 25 plumbers is drawn…

A: We have given that Mean(µ) = 49000Standard deviations (σ) = 5800n = 24

Q: he weight of a small Starbucks coffee is a normally distributed random variable with a mean of 320…

Q: The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 121…

A: The given data are: Mean = 121 Standard Deviation= 22 (a) Stage 2 high blood pressure occurs if…

Q: Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 19 miles…

A: Given that, μ=100σ=19 Let X denote the mileage per day and it follows normal distribution. That is,…

Q: Private nonprofit four-year colleges charge, on average, $27,363 per year in tuition and fees. The…

A: Given information: μ=27363σ=6865 b) The probability that a randomly selected Private nonprofit…

Q: Cattle are often fattened in a feedlot before being shipped to a slaughterhouse. Suppose the weight…

A: It is given that the weight gain is normally distributed with average of 1.75 pounds per day and a…

Q: Assume that adults have IQ scores that are normally distributed with a mean of u = 100 and a…

A: Policy: Since you have asked multiple questions, we will solve the first question for you. If you…

Q: A study discovered that Americans consumed an average of 13.3 pounds of chocolate per year. Assume…

A: From the provided information, Mean (µ) = 13.3 pounds Standard deviation (σ) = 3.4 pounds X~N (13.3,…

Q: Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test…

Q: a. In a normal distribution, a = - (right or left) of the mean. b. -2, z = 6. This tells you that x…

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 65…

A: According to emperical rule 68%, 95%,and 99.7% data fall within one two and three standard…

Q: SAT exam scores are normally distributed with mean 500 and standard deviation 100. Give the…

A: Let, X= SAT score Given X follows normal distribution with mean=500 and standard deviation=100

Q: Assume that the red blood cell counts of women are normally distributed with a mean of 4.577 million…

A: We have to find correct option..

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The average number of acres burned by forest and range fires in a large county is 3,900 acres per…

A: We have given that the random variable X i.e. acres is normally distributed with average(mean) 3900…

Q: The WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a…

A: It is given that the mean and standard deviation for the age group of 60-64 is 90 and standard…

Q: Mary drives to work each morning, and the trip takes an average of µ = 38 minutes. The distribution…

A: Given: µ = 38 minutes, σ = 5 minutes. The Z follows standard normal distribution. Z=X-μσ

Q: The annual per capita consumption of bottled water was 33.7 gallons. Assume that the per capita…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

A study discovered that Americans consumed an average of 13.3 pounds of chocolate per year. Assume that the
annual chocolate consumption follows the normal distribution with a standard deviation of 3.4 pounds. Complete parts
a through e below.
a. What is the probability that an American will consume less than 9 pounds of chocolate next year?
(Round to four decimal places as needed.)
b. What is the probability that an American will consume more than 11 pounds of chocolate next year?
(Round to four decimal places as needed.)
c. What is the probability that an American will consume between 10 and 14 pounds of chocolate next year?
(Round to four decimal places as needed.)
d. What is the probability that an American will consume exactly 12 pounds of chocolate next year?
(Round to four decimal places as needed.)
e. What is the annual consumption of chocolate that represents the 80th percentile?
The 80th percentile is represented by an annual consumption of
pounds of chocolate.
(Type an integer or decimal rounded to one decimal place as needed.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 395 grams and a standard deviation of 22 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) Highest 30 percent a. b. Middle 70 percent to c. Highest 90 percent d. Lowest 20 percent
Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 105 and a standard deviation of 11. An individual's IQ score is found to be 114. Find the z-score corresponding to this value. Round the answer to the nearest hundredth. O A. -0.82 OB. -1.22 O C. 0.82 O D. 1.22 C
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
Private nonprofit four-year colleges charge, on average, $27,363 per year in tuition and fees. The standard deviation is $6,865. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,876 per year. ________ - 0.4129 is wrongc. Find the 68th percentile for this distribution. $ _______ (Round to the nearest dollar.) - 30573.752 is wrong
A forest ranger has data on the heights of a large growth of young pine trees. The mean height is 3.2 feet and the standard deviation 0.6 feet. A histogram shows that the distribution of heights is approximately normal. Approximately what proportion of the trees should we expect to be between 4.0 and 4.4 feet tall? A) 0.02 B) 0.07 C) 0.91 D) 0.98
A normal distribution has a mean of 105 and a standard deviation of 10. Find the probability that a value selected at random is in the following interval. at most 125 The probability that a value selected at random is in the given interval is%. (Type an integer or a decimal.) D
Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 90. Find the z-score corresponding to this value. OA. -1.33 OB. 1.33 OC. 0.67 O D. -0.67 C
The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability that, before the low-fuel light comes on, the car will travel between 328 and 348 miles on the next tank of gas? 36 miles. Complete parts a through d below. (Round to four decimal places as needed.
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 370 grams and a standard deviation of 15 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.) a. Highest 30 percent b. Middle 70 percent to c. Highest 90 percent d. Lowest 20 percent
Need help
Please see attached.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 71 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whose speeds are between 61 miles per hour and 81 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately ________ % of vehicles travel between 61 miles per hour and 81 miles per hour.