he average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

he average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution…

A: Let X be the random variable from normal distribution with mean (μ) = 45 pounds and standard…

Q: The distribution of bladder volume in men is approximately Normal with mean 550 milliliters (ml) and…

A: From the provided information, Mean bladder volume in men (µM) = 550 millilitres Standard deviation…

Q: Find the proportion of Normally distributed observations with a zz-score above 0.84. Give your…

A: Let Z be the random variable from normal distribution with z-score above 0.84 then we will find the…

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a…

A: Consider X be a random variable which follows normal variable indicates diastolic blood pressure. It…

Q: The salaries of a company's employees are normally distributed with mean 15000 and standard…

Q: The blood cholesterol levels in 14-year-old boys are approximately normally distributed. Within this…

A: Here we are given that the blood cholesterol levels in 14-year-old boys are approximately normally…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: College students average 7.4 hours of sleep per night with a standard deviation of 45 minutes. If…

A: Given data college students average 7.4 hrs of sleep with standard deviation of 45mins

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A: Introduction: The fashionable regular distribution, additionally called the z-distribution, is a…

Q: Explain the percentage slabs under the Standard Deviation Rule?

A: The percentage of slabs under the standard deviation rule or empirical rule is discussed as follows:

Q: A test is scaled so that the mean score is 490 and the standard deviation is 100. What percentage of…

A: Given information μ=490 And σ=100 We have to find the percentage of students taking this test should…

Q: Why does Mean of the Deviations Not a Useful Measure?

Q: Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united…

A: It is given that the mean is 16.5 lbs and standard deviation is 2.5 lbs.

Q: What describes measurements that have a normal distribution?

A: The farther away you move from the average, the fewer individuals will have those more extreme…

Q: The diameters of red delicious apples of an orchard have a normal distribution with a mean of 3…

A: Let x be the continuous random variable and it said to follows normal distribution with mean μ and…

Q: The mean of normal distribution probably is 400 pound and SD is 10 pound what is the area 415 pound…

A: In this context, the mean of normal distribution probably is 400 pound and SD is 10 pound. Here, we…

Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: Assume that the basic unit of the society incomes are normally distributed with mean ₱30,000.00 and…

A: Given : Let X be a r.v of the society incomes X~N(μ=30000.00 , σ2=10000.00) If the poverty level…

Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

Q: If the main effect of age is significant, describe the main effect of age. Include the overall means…

A: Main effect in the Analysis of Variance test is the effect of one the independent variable on…

Q: The duration of human pregnancies are normally distributed with a mean of 267 days and a standard…

A: X follows a Normal distribution with mean = 267 and S.D = 16 Then z=(x-mean)/SD = (x-267)/16…

Q: How high must a 2016 Vehicles gas mileage be to fall in the top 15% of all vehicles? normal mean is…

A: Given information: normal mean is 23.0mpg standard deviation is 4.9mpg

Q: t problem. Use the empirical rule

A: According to the empirical rule, approximately 95% of the observations fall within 2 standard…

Q: A quantitative data set of size 80 has mean 45 and standard deviation 2. Approximately how many…

A: The given values are, The formula for calculating the value of k is, The values of k are,

Q: What proportion of people has diastolic blood pressure less than 80?

Q: The time needed to take an exam is normally distributed with an average of 120 minutes and a…

A: Given,mean(μ)=120standard devition(σ)=20

Q: lab supply company sells pieces of Douglas fir 6 inches long and 2.5 inches square for force…

A: From the given information, Population standard deviation=3500 Margin of Error=700 Confidence level…

Q: The variable x is normally distributed with a mean of 500 and a standard deviation of 43. Find the…

Q: The mean height of women is 62 inches with standard deviation of 4 inches. What percent of women are…

A: From the given information, Mean height (µ) = 62 inches Standard deviation (σ)= 4 inches Thus, the…

Q: 9. Weights of walleye in a lake are normally distributed with mean 4.8 pounds and a standard…

A: A z-score represents the position of a data point in terms of its distance from the mean when…

Q: The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 19 people…

A: From the provided information,

Q: The scores on a test are normally distributed, with a mean of 82 and standard deviation of 5. What…

A: Let X be the random variable from normal distribution with mean (μ) = 82 and standard deviation (σ)…

Q: The average height of young adult males has a normal distribution with standard deviation of 2.8…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: How does the median birth weight compare to the average birth weight?

A: Given that birth weights of children born in the United States are normally distributed with mean =…

Q: Find the proportion of Normally distributed observations with a zz-score below 0.82. Give your…

Q: Assume that a data for pulse rates of 50 participants is ollected. The mean pulse rate has the mean…

A: Range rule of thumb: The values are significant if it is lies within 2 standard deviations away from…

Q: Americans love ice cream .The annual per capita consumption of ice cream ,in pounds ,in the united…

A: We have given that, X be the random variable from normal distribution with mean (μ) = 16.5 and…

Question

100%

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.

If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The average number of strawberries that come in a pint is 27.9, with a standard deviation of 7.8. Assume that the number of strawberries in a pint is normally distributed. What percentage of pints would have 31 strawberries or more? Enter your answer as a percent rounded to one decimal place.
Find the proportion of Normally distributed observations with a zz-score above -2.84. Give your answer to four decimal places.
The length in feet of a structural I-beam is normally distributed with a mean of 6 ft and a standard deviation of 1 inch. Quality control requirements demand a beam to be rejected if the length of the beam is more than 1 inch different from the mean. What percentage of the I-beams will be rejected?
What is the lowest standard deviation value ?
A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams. The heaviest 18% of fruits weigh more than how many grams? Please give your answer to one decimal place. Weight =
mean 40,756 standard deviation 7000. find the proportion that are greater than 40,000.
Please show working outs.
Please see attached.
Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?
A psychologist created a questionnaire to assess people's aggression. Assume that the questionnaire responses are regularly distributed with a standard deviation of 100. Assume that 15% of the scores are higher than 700. Determine the mean of the score distribution. Calculate your intermediate results to at least four decimal places. Round your answer to the nearest decimal point.
please answer the question in the photo. Thank you
IQs are normally distributed with a mean of 100 and a standard deviation of 15. Determine the percentage of IQ scores between 85 and 100, to the nearest whole number.