**Problem Statement:**A manufacturer knows that their items have a normally distributed length, with a mean of 12.4 inches, and a standard deviation of 0.8 inches.**Question:**If 2 items are chosen at random, what is the probability that their mean length is less than 13.2 inches?---Note: There are no graphs or diagrams to explain.

Answered: Image /qna-images/answer/6c4c3caa-61b8-47e3-805c-26234a12cfe5.jpg

Answered: A manufacturer knows that their items…

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

Similar questions

A manufacturer knows that their items have a normally distributed length, with a mean of 14.7 inches, and standard deviation of 2.9 inches.If 2 items are chosen at random, what is the probability that their mean length is less than 9.7 inches?
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 94.6-cm and a standard deviation of 0.6-cm.Find the probability that the length of a randomly selected steel rod is between 94.9-cm and 95.4-cm.
The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 6.18 ounces and a standard deviation of 0.14 ounce. Suppose that you draw a random sample of 37 cans. Find the probability that the mean weight of the sample is less than 6.13 ounces. Probability =
A local fast-food joint reports that they sell a mean of 225.0 burgers per day with a standard deviation of 12.3 burgers. If you randomly selected 31 days from last year, what is the probability that the mean of that sample differs from the population mean by more than 3 burgers.
A running back on the Spartans football team gains an average of 3.5 yards per carry with a standard deviation of 2. The distribution of yards gained is normal. If the ball is 7 yards from the end zone what is the probability that the running back will score a touchdown if he is given the ball?
To become an actuary, it is necessary to pass a series of 10 exams, including the most important one, an exam in probability and statistics. An insurance company wants to estimate the mean score on this exam for actuarial students who have enrolled in a special study program. They take a sample of 8 actuarial students in this program and find the mean of the sample is 6.0 with standard deviation of the sample 2.0. This sample will be used to calculate a 95% confidence interval for the mean score for actuarial students in the special study program. The critical value used in constructing a 95% confidence interval is ________. Question 16 options: 1) 1.8595 2) 3.4995 3) 2.3646 4) 1.8946
According to a medical journal, the distribution of weights of newborn babies is approximately Normal, with a mean of 3390 grams and a standard deviation of 550 grams. what is the probability that a newborn baby will weigh more than 3800 grams?
Women have head circumferences that are normally distributed with a mean of 22.06 in and a standard deviation of 18 in. Use the appropriate z-score table when necessary. If 5 women are randomly selected, what is the probability that their mean head circumference is less than 214 in?
The lengths of pregnancies are normally distributed with a mean of 273 days and a standard deviation of 20 days. If 50 women are randomly selected, find the probability that they have a mean pregnancy between 273 days and 275 days
A random sample of 25 observations yield a mean of 106 and a standard deviation of 12. What is the probability that the sample mean exceeds 110?
The body temperatures of adults are normally distributed with a mean of 98.6°F and a standard deviation of 0.60° F. If 25 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4°F.
Suppose the heights of a certain population of people follow a normal distribution with a mean of 170 cm and a standard deviation of 10 cm. What is the probability that a randomly selected person from this population will have a height between 160 cm and 180 cm? If a random sample of 100 people is taken from this population, what is the probability that the sample mean height will be greater than 172 cm?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

A manufacturer knows that their items have a normally distributed length, with a mean of 12.4 inches, and standard deviation of 0.8 inches. If 2 items are chosen at random, what is the probability that their mean length is less than 13.2 inches?