An automatic machine in a manufacturing process produces a certain subcomponent with lenghts thatare normally distributed with a mean of 110 cm and a standard deviation of 5.1 cm.Find the probability that if 4 subcomponents are randomly selected, their mean length is less than 112cm.Probability=

Given Mean = 110 Sd = 5.1 Sample size = 4

Answered: An automatic machine in a manufacturing…

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

The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.
The migratory habits of zebra in the savanna are normally distributed with a mean of 238 days and a standard deviation of 13 days. Find the probability a single zebra will migrate in les than 220 days.
If the average length of all low-weight babies at the time of birth is known to be 36.5 centimeters with a standard deviation of 2.4 cm, use pnorm() to find the probability that the sample mean length is equivalent to the sample mean of our random sample or larger. random sample mean= 36.82
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard deviation of 20 days. If 64 women are randomly selected find the probability that they have a mean pregnancy between 266 days and 268 days
Use this information about the overhead reach distances of adult females: µ = 205.5 cm, σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from th Federal Aviation Administration) If 40 adult females are randomly selected, find the probability that they have a mean overhead reach between 204.0 cm and 206.0 cm.
Birthweight at a hospital were reported to have a mean of 3668 grams (g) and a standard deviation of 511 g. These birthweights are normally distributed. Find the probability that a single baby's birth weight was less than 4000 g.
The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation 8.39min. Find the probability that the mean cycling time taken by a random sample of 38 competitors is greater than 25 minutes. Give your answer in 3 decimal places.
The length of life time of a pesticide spray is normally distributed with a mean life timeis 12 months and standard deviation is 6 months. If this kind of spray is guaranteed for 10 months, find the probability of the sale that requires replacement.
Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =
Tom works for a fruit company and found that the weight of pineapples are normally distributed with mean is 500 grams and standard deviation is 100 grams. If he randomly chooses 16 pineapples and measure their weights, what is the probability that the average weight is more than 475 grams?
Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.
A data from a physician office shows that only 10% of patients are taller than 6 ft. If there are 4 patients in the office,find the probability that at least one of them is taller than 6 ft. Then, find mean and standard deviation of the number of patients taller than 6ft.

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