A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 221.1-cm and a standard deviation of 2-cm. Answer the following to the nearest tenth of a cm. Find P32, which is the length separating the shortest 32% rods from the longest 68%.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 221.1-cm and a standard deviation of 2-cm. Answer the following to the nearest tenth of a cm. Find P32, which is the length separating the shortest 32% rods from the longest 68%.

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: The distribution of the lengths of a commercially caught fish is bell-shaped with mean 24 cm and…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: Americans spend an average of 5 hours per day online. If the standard deviation is 33 minutes, find…

A: Given,Mean, μ = 5 hours = 5×60 = 300 minutes.Standard deviation, σ = 33 minutes.We need to find the…

Q: Illustration : The mean and standard deviation of a set c 100 observations were 40 and 5 respective…

A: Mean is the average value of given observations. For a set of 'n' observations, mean is the sum of…

Q: Find the standard deviation of the lengths of the wolves in the entire animal preserve.

A: The mean of the lengths of the wolves in the entire animal preserve is,…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: The weights in ounces of newborn infants were recorded by a hospital. The weights were 88, 99, 82,…

A: Given data, 88, 99, 82, 81, 84 and 100 First find the sample mean. Mean:

Q: Seventy-six percent of Americans favor spending government money to develop alternative sources of…

A: Given that p = 75% and. n = 140 By using the Binomial distribution

Q: tudent obtained the mean of 58 observations as 48. It was later found that one observation was…

A: Given data, n=58 The mean for 58 observations is 48 x=∑xn48=∑x58∑x=2784

Q: A population has mean 49 and standard deviation 5. What is the data value that has a z-score of 2?…

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: Of the 200 American film enthusiasts, the average age is: 30 years, while the standard deviation is…

A: Normal distribution is generally denser in the center, and basically less denser at the tails. There…

Q: If the grades are normally distributed and 8 students received a B, how many students took the…

A: Let C denote the grades of students. Given that X follows N(mean = 82, SD = 5), then Z = (X -…

Q: A large chemistry exam course took their final exam. The mean was 75 with a standard deviation of 8.…

A: Obtain the Z-score of the random variable X equals 60. The Z-score of the random variable X equals…

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given, n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: Find the range , the standard deviation, the variance for 45, 75, 84, 58, 81, 65 , 98,63,76

A: Range = Maximum - Minimum = 98 - 45 = 53 The standard deviation can be determined using the…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Let X represents the lengths of the steel rods Mean (X)=98.3 Standard deviation (X)=2.4 Therefore,…

Q: A Population has a Mean of 90 and a standard deviation of 25. A sample of 20 college students is…

Q: Five hundred children participated in a field demonstration. Their heights averaged 110 cm with a…

A: Let X be a random variable such that X: Height of the children Since the sample is large (500)…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the…

A: From the provided information, Sample size (n) = 10 Sample mean (x̅) = 6.9 Sample standard deviation…

Q: In some reports, the mean and coefficient of variation are given. For instance, one report gives the…

A: given data cv = 1.9% μ = 3.2σ = ?

Q: You want to know the percentage of utility companies that earned revenue less than 39 million or…

A: Given data You want to know the percentage of utility companies that earned revenue less than…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

Q: On a nationwide math test, the mean was 52 and the standard deviation was 4. If Roberto scored 85,…

A: The z score formula is,

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 70,…

A: Given that,Mean = 72Standard deviation = 7And X=70

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: mean=145.2cm S.D=2.2cm

Q: Given the data: 47, 55, 57, 63, 73. Find the standard deviation. Round the final answer to the…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Nationally, patients who go to the emergency room wait an average of 4 hours to be admitted into the…

A: Solution: Let X be the waiting time. From the given information, x-bar = 2.7 hours, S=2.8 hours and…

Q: Three cars are driving on a racetrack. The mean speed of the three cars is 100 miles per hour. Car…

Q: On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90,…

A: Given that, Mean = 72 Standard deviation = 7

Q: The weight of a division I college football player has a mean of 255lb and a standard deviation of…

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: Place the following in order to show how you find the standard deviation. Take the square root of…

Q: For a given data, calculate the mean, the median, the standard deviation. Show your work, do not…

Question

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 221.1-cm and a standard deviation of 2-cm. Answer the following to the nearest tenth of a cm.

Find P₃₂, which is the length separating the shortest 32% rods from the longest 68%.

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 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

On a nationwide math test, the mean was 57 and the standard deviation was 4. If Roberto scored 90, what was his z-score?
The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 222.9-cm and a standard deviation of 0.7-cm.Find P98, which is the length separating the shortest 98% rods from the longest 2%.P98 = -cm
in 2020, a sample of 12 monarchs had an average wingspan of 6.3 cm. this year a new sample of 12 had an average wingspan of 7.2 cm based on years of data, we know the population standard deviation is 2.2 cm. compare the means from 2020 and 2021. write a conclusion with a statistics and probability in parenthesis
A population has a Mean of 100 and a standard deviation of 15. A sample of 20 college students is measured and the Sample mean is 125. What is the standard error? Show the math.
Mark went around the neighborhood collecting spare change for charity. The 7 families gave: $5.00 , $4.00 ,$4.00 , ,$6.00, $6.00, $5.00, $5.00 . What was the mean absolute deviation of the amounts of change given?
solve for the dignital measured length and number 2.
A California lake has been stocked with rainbow trout. These trout have an average length of 24 inches, with a standard deviation of 3 inches. Someone goes fishing and catches a trout that is 26.25 inches long. Express the length of this trout in standard units, relative to all the trout that were used to stock the lake. Choose the answer below that is closest.
In a survey, 80% of the voters support a particular referendum. If 30 voters are chosen, find the standard deviation of the number of voters who support the referendum.
Look for a,b,c and d. Thanks
A class has an equal number of boys and girls. The boys all got78% on a test and the girls all got 84%.. What are the mean and standard deviation of thetest scores for the entire class?
The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget have a mean of 40 ounces and a standard deviation of 10 ounces. What percentage of the widget weights lie between 20 and 70 ounces?