The cross-sectional area of plastic tubing for use in pulmonary resuscitators isnormally distributed with mean 12mm² and standard deviation 0.5mm². A randomsample of 12 tubes is selected for inspection.Question 2:a) What is the probability that one of the tubes has a cross-sectional area lessthan 11.5mm2?b) What is the probability that the sample mean of the tubes is more than11.5mm??c) Of the 12 tubes samples, how many would you expect to have a cross-sectional area less than 11.5mm²?d) What is the probability that exactly half of the tubes sampled have a cross-sectional area less than 11.5mm²?

Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm²? b) What is the probability that the sample mean of the tubes is more than 11.5mm²? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?

The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm²? b) What is the probability that the sample mean of the tubes is more than 11.5mm²? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?

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

Similar questions

The demand for a product in the next month shows a normal distribution with an average of 1500 units and a standard deviation of 100 units. Accordingly, the sales; A) What is the probability of being between 1320 units and 1680 units?
The overhead reach distances of adult females are normally distributed with a mean of 197.5 cm and a standard deviation of 8 cm.Find the probability that a individual distance 207.50 cm.Find the probability that a mean for 20 randomly selected distances is greater than 195.30cm.Why can the normal distribution be used in part B even though the sample size does not exceed 30
A machine filling 25g cereal packets is that the filling per packet is following a normal distribution with an average filling of, 26g and standard deviation of 2.5g. What percentage of these packets is filled with Less than 24g ii. More than 30g
Combined city and highway gas mileage is approximately normally distributed with mean 23.0 mpg and standard deviation 4.9 mpg. A) Assume twenty 2016 model year vehicles are randomly selected. Describe the distribution of the variable x̄. i. Shape (Justify how you know your answer) ii. Mean iii. Standard deviation, rounded to three decimal places. B) Find the probability that the mean gas mileage of a sample of twenty 2016 model year vehicles is less than 24 mpg.
The diameter of a cylinder follows a normal distribution with mean of 10cm and the variance of 0.04 cm2. a) Construct a Shewhart chart (X-Bar chart) to monitor the process mean of cylinder diameter with a sample size of 9? (Use L = 3) b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift next sample (The first sample after the mean shift)? c) If the process mean stay at 10.5 cm, what is the average number of samples will you see an out-of-control point in the control chart?
Determine: i) the probability that a man's shoe size is greater than or equal to 11 ii) the probability that a man's shoe size is greater than or equal to 12.5 iii) P(size more than equal to 12.5)/P(size more than equal to 8)
What is the probability of randomly selecting a z-score greater than z = -0. 75 from a normal distribution? %3D
With the diagram please
An SRS of 1500 first-year college students were asked whether they applied for admission to any other college. In fact, 35% of all first-year students applied to colleges beside the one they are attending. Population Parameter Value of the parameter a) State the conditions of why the sample proportion follows a normal distribution. b) What is the mean and standard deviation of the sample proportion ? c) What is the probability that the sample proportion of college students who applied to colleges besides the one they attended is more than 37.5%? d) What is the probability that the poll will be within 2% of the true proportion?
A mean undergraduate cost for tuition , fees , room , and board for four-year institutions was 26,489 for a recent academic year. Suppose that the population standard deviation equals 3, 204 and 36 four year institutions are randomly selected .find the probability that the sample mean cost for these 36 schools is between 24,000 and 26, 000.find the corresponding area for the z values.
In the field of accountancy, times spent studying by students in the week before professional exams follow a Normal distribution with a standard deviation of 8 hours. A random sample of 4 students was taken in order to estimate the mean study time for the population of all students. a) What is the probability that the sample mean exceeds the population mean by more than 2 hours? b) What is the probability that the sample mean differs from the population mean by more than 4 hours? c) Suppose that a second (independent) random sample of 10 students was taken. Without doing any calculations, state whether the probabilities in parts (a) and (b) would be higher, lower or the same for the second sample.
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.2 inches, and standard deviation of 3.7 inches.A) What is the probability that a randomly chosen child has a height of less than 62.15 inches? Answer= (Round your answer to 3 decimal places.)B) What is the probability that a randomly chosen child has a height of morethan 49.8 inches? Answer= (Round your answer to 3 decimal places.)