When drilling for raw materials of copper and nickel, the amount of copper obtained per cubic metre is typically C=460±140 kg (mean ± standard deviation) and the amount of nickel obtained per cubic metre is typically N=180±30 kg (mean ± standard deviation). If the amounts of copper and nickel obtained per cubic metre are positively correlated, with a correlation of Corr(C, N)=0.4, calculate the mean and standard deviation of the total amount of raw materials obtained per cubic metre (i.e. mean and standard deviation of C + N).

When drilling for raw materials of copper and nickel, the amount of copper obtained per cubic metre is typically C=460±140 kg (mean ± standard deviation) and the amount of nickel obtained per cubic metre is typically N=180±30 kg (mean ± standard deviation). If the amounts of copper and nickel obtained per cubic metre are positively correlated, with a correlation of Corr(C, N)=0.4, calculate the mean and standard deviation of the total amount of raw materials obtained per cubic metre (i.e. mean and standard deviation of C + N).

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 finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. If in a couple of years, the mean and the standard deviation of the nished inside diameter of a piston ring change both to dierent values μ and σ, what proportion of rings will have inside diameters exceeding μ + 2.5σ?
From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)? =
The position of a point A is defined from a point of observa- tion O by distance OA = D, and the angular deviation from a reference line OB. The mean error in estimating the distance is 100k per cent of the distance; the mean error in estimating the angular deviation is & radians. The error made in representing the point A on a chart obeys a normal tircular distribution with mean deviation r; the error in the position of the point O also obeys a normal circular distribution law with mean deviation R. Find the compound distribu- tion characterizing the error in position resulting from the representation of point A on the chart. How will the probability that point A lies in a rectangle of size 100 x 100 sq. m. change if D decreases from 20 to 10 km. (r = 20 m., R 40 m., & = 0.003, k 0.005) ? =
Solve the problem and draw the normal curve with the shaded region representing the given scenario in the problem. The accountants of a known auditing firm have a mean daily salary Php 850 with a standard deviation of Php 82. Find the median and the mode, and compare it with the given mean value. Determine the intervals within 1, 2 and 3 standard deviations from the mean, that is, the µ ± 1σ, µ ± 2σ, µ ± 3σ. Verify that the empirical rule holds that is, approximately, 68%, 95%, and 99% of the data lie within ± 1σ, ± 2σ, ± 3σ units of the mean, respectively. If an accountant from the firm is chosen at random, what is the probability that he /she earning Php 950 to Php 1,000? What percentage of the accountants will fall in between the salary of Php 300 and Php 500?
You are studying the velocities of projectiles. Prior experience tells you that standard deviation of velocities is around 9.7 ft/sec. How many independent samples of projectile velocity do you have to measure to estimate the mean velocity within ±±0.98 ft/sec with 92% confidence?
A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.01 years, with sample standard deviation s = 0.76 years. However, it is thought that the overall population mean age of coyotes is u = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H 1.75 yr; Hi: и 1.75 yr; Hi: и %3D 1.75 yr II Но: и 3 1.75 уr; Hi: и > 1.75 yr Ho: H = 1.75 yr; H1: µ # 1.75 yr (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is known. The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is unknown. What is the value of the…
The researcher would like to determine if these data provide convincing evidence that the true mean amount of time volunteers who were given training held their breath is greater than volunteers without training. Let μ1 = the true mean amount of time that volunteers who were given training held their breath and μ2 = the true mean amount of time that volunteers without training held their breath. What are the appropriate hypotheses?
Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.† Over a period of months, an adult male patient has taken six blood tests for uric acid. The mean concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with σ = 1.83 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit= upper limit= margin of error= (d) Find the sample size necessary for a 95% confidence level with maximal margin of error E = 1.02 for the mean concentration of uric acid in this patient's blood. (Round your answer up to the nearest whole number.)
A certain variable has a bell-shaped distribution with mean μ=176.16μ=176.16 and standard deviation σ=4.9σ=4.9. You observe a value of x=184x=184. Is this a TYPICAL value of the variable (within 2 standard deviations of the mean), or an UNUSUAL one (more than 2 standard deviations from the mean)?