a. The compressive strength of cement samples can be modelled by a normal distribution with a mean of (09 + 6000) kilograms per square metre and a standard deviation of (09 + 100) kilograms per square metre. Find the probability that a sample's strength is between (09 + 5800) kg/m² and (09 + 5900) kg/m².

a. The compressive strength of cement samples can be modelled by a normal distribution with a mean of (09 + 6000) kilograms per square metre and a standard deviation of (09 + 100) kilograms per square metre. Find the probability that a sample's strength is between (09 + 5800) kg/m² and (09 + 5900) kg/m².

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A Normal distribution has mean =28 and a standard deviation =5. A) find the z score corresponding to x =23. B) find the z score corresponding to x =39 C) find the raw score corresponding to z = -2 D) find the raw score corresponding to z = 1.7
5a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
In a factory production the products' weights follow a normal distribution with mean 4.00 kg and standard deviation 0.06 kg. Suppose a product is chosen at random, find the probability that the product's weight is between 3.88 kg and 4.18 kg?
The height of an 8th grader is modeled using the normal distribution shown below. The mean of the distribution is 59.1 in and the standard deviation is 1.2 in. In the figure, Vis a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 56 58 60 62 Height (in inches)
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in thedusLove uo useful life (150,000 miles of driving) of cars of a particular model varies Normall/ih nean 80 mg/mi and standard deviation 4 mg/mi. A company has 25 cars of this model in its et find the level L such that the probability that the average NOX+NMOG level 7 for the fleet is greater than L is only 0.01. Give your answer to three decimal places.
A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels (in milligrams per deciliter of blood) of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally distributed. At a = 0.05, can you conclude that the new cereal lowers total blood cholesterol levels? Patient Total Blood Cholesterol (Before) Total Blood Cholesterol (After) OA. Ho Hd #0 HA Hd=0 OC. Ho Hd ≤0 HA Hd >0 Calculate the standardized test statistic t= (Round to three decimal places as needed.) Calculate the P-value P-value= (Round to four decimal places as needed) State the conclusion. 1 205 204 Ho. There C 2 225 222 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereal be…
Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at 8. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a ) μ - b) σ-
GPAS at CCSU are normally distributed with a mean of 2.14 and a standard deviation of 0.52. Find the z-score for a GPA of 2.78.
Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) What is the probability that the total fat content of this cheese exceeds 3 (unit)? b) What is the probability that the total fat content varies from 2.8 to 3 (unit)?
Find the inflection points of a normal random variable with mean of u (Mu) and a standard deviation of sigma
GPAs at CCSU are normally distributed with a mean of 2.25 and a standard deviation of 0.45. Find the z-score for a GPA of 2.49.
If the iron cutting machine in a factory works continuously for a certain period of time under the same conditions, it goes into malfunction. In this type of failure, the machine takes 24 hours to cool down. After the machine has cooled down, it continues to work the next day. Assume that the running time (minutes) of this machine until it malfunctions has a normal distribution. The working time of the iron cutting machine until the failure was measured for 9 different days, which were chosen at random. Continuous working time (minutes): 14-26-18-29-12-19-22-30-19 a) Establish the 95% confidence interval for the average uninterrupted working time of this iron cutting machine and interpret the result.b) The factory chief claims that the average continuous operating time of the machine is less than 23 minutes. Test the claim that the average continuous working time of this iron cutting machine is less than 23 minutes at the 0.05 significance level and the result isPlease comment.