please answer this question: (a) In a manufacturing process, the diameter of steel rods is distributed normally with a mean value of 5 mm and standard deviation of 0.1 mm. If a rod is selected at random, what is the probability that its diameter will be: (i) less than 4.85 mm; (ii) between 4.9 mm and 5.1 mm?
Q: 1. The speeds driven by a population of drivers at a particular location on a highway are normally…
A: Given data,μ=71σ=5.7
Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57…
A: Given that, mean, mu= 57 Standard deviation, sigma= 3.5 We know that, Z score=(X-mu)/sigma Here…
Q: In another species of fish, it can safely be assumed the population standard deviation for mercury…
A: The population standard deviation for mercury readings will not exceed 0.10 ppm, the sample mean…
Q: A factory produces nails, for which the length is normally distributed with the mean of 4mm and…
A: We have to find out given probability and no. Of rejected...
Q: The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal…
A: Given Population mean = 8.2 Population standard deviation=0.11 Sample size n=3
Q: The scores of students on the SAT college entrance examinations at a certain high school had a…
A: GivenMean(μ)=538.1standard deviation(σ)=26.3
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: Given: mean μ=66 standard deviation σ=1.3
Q: An article in the Annals of Botany investigated whether the stem diameters of the dicot sunflower…
A: We have given that Mean μ = 35 Standard deviation σ = 3 Z-score, z = (x – μ) / σ Note: According to…
Q: (i) Find the probability that the rod will fit inside the bearing with at least 0.10 mm clearance?
A:
Q: For a normal population with mean = 100 and population standard deviation = 20: A. What is the…
A:
Q: The amounts a soft drink machine is designed to dispense for each drink are normally distributed,…
A: Given,mean(μ)=11.7standard deviation(σ)=0.2A) Required probability is…
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: Given that: Population mean, μ=65 Population standard deviation, σ=1.5
Q: In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a…
A: The probability that a study participant has a height that is less than 66 inches is 0.3446.
Q: A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and…
A: We have given that, Let X be the random variable from normal distribution with mean (μ) = 16.3 and…
Q: oal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: The mean is 81 tons and the standard deviation is 1.4 tons.
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: Solution
Q: A random sample of size 12 is selected from Normal distribution with mean 18 and unknown variance.…
A:
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: Mean(µ) = 81Standard deviations (σ) = 1.6X ~ N (µ, σ )= N(81, 1.6)
Q: he average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for…
A: The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks)…
Q: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of µ = 7.5…
A: Given,mean(μ)=7.5standard deviation(σ)=2.5
Q: particular manufacturing design requires a shaft with a diameter between 19.88 mm and 20.013 mm. The…
A: Given that:A shaft with a diameter between 19.88 mm and 20.013 mm is necessary for a specific…
Q: The Department of Transportation (DoT) is concerned about the high speed of vehicles traveling down…
A: Since you have posted a question with multiple sub-parts, we will solve the first 3 sub-parts for…
Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…
A: Given: X~Normalμ=56,σ2=3.32
Q: Rods are taken from a bin in which the mean diameter is 8.30 mm and the standard deviation is 0.40…
A: Consider X denoting the bin from which rods are taken, and Y denotes the bearings. It is given that…
Q: The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an…
A: Type I error (α) is the probability of rejecting the null hypothesis when it is actually true. Type…
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: We know that if; X~Normal(μ,σ2) Then; Z=X-μσ~Normal(0,1) X1,X2,...,Xn~Normal(μ,σ2), independently…
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: Let X be the random variable from normal distribution with mean (μ) = 50, standard deviation (σ) =…
Q: Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56…
A: The Z-score of a random variable X is defined as follows: Z=(X–µ)/σ Here, µ and σ are the mean and…
Q: For a normal population with mean = 100 and population standard deviation = 20: a. What is…
A: Given Information: Mean μ=100 Standard deviation σ=20 (a) To find the proportion of X that is less…
Q: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of u = 7.5…
A: From the provided information, Mean (µ) = 7.5 hours Standard deviation (σ) = 2.5 hours X~N (7.5,…
Q: opulation with mean = 100 and population standard deviation = 20: a. What is the proportion of x…
A: a. Given: μ=100, σ=20, n=10 The corresponding z-value needed to be computed: The proportion of x…
Q: In a particular city, the weight of newly born babies is normally distributed with a mean of 3.5 kg…
A:
Q: Find the probability that: (a) A lot of 30 trees have average hardness below 3250lbf. (b) A lot of…
A: It is given as the hardness of a species of tree is normally distributed with a mean of 3260lb and a…
Q: An elevator has a placard stating that the maximum capacity is 1860 lb—12 passengers. So, 12 adult…
A:
Q: The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of…
A: Given, μ = 70σ = 3 we use Formula for Z score here to find prbability. Z = X - μσ To find, a) P…
Q: According to insurance records, a car with a certain protection system will be recovered 94% of the…
A: given data n= 300p = 0.94here np(1-p) = 300(0.94)(1-0.94) = 16.92>10∴we can use normal…
Q: Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long…
A: a) The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…
Q: a. A coin is tossed A times. Calculate the probability of obtaining more tails than heads. b. A…
A: Given Information: A = 7 and B = 18 (a) A coin is tossed 7 times. Calculate the probability of…
Q: A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each…
A: From the provided information,
Q: 2. A plastic casting for a magnetic disk is composed of three parts, A, B, and C. The thickness of…
A: Three parts : A,B,C Thickness of each part is normally distributed with a mean of 2 mm Standard…
please answer this question:
(a) In a manufacturing process, the diameter of steel rods is distributed normally
with a
selected at random, what is the
(i) less than 4.85 mm;
(ii) between 4.9 mm and 5.1 mm?
Step by step
Solved in 3 steps with 6 images
- Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5 hours per day using some sort of electronic device such as smart phones, computers, or tablets. Assume that the distribution of times is normal with a standard deviation of σ = 2.5 hours and find the following values. a. What is the probability of selecting an individual who uses electronic devices more than 12 hours a day? b. What proportion of 8- to 18-year-old Americans spend between 5 and 10 hours per day using electronic devices? In symbols, p(5 < X < 10) = ?Show neat and complete solution. (... The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 miles per gallon (mpg). If the standard deviation of the population was 2.8 and the gas ratings were normally distributed, (a) what is the probability that the mean mpg for a random sample of 25 light vehicles is under 18? (b) between 20 and 24? Given: Required: Solution: a. b.
- 3. The braking distance for a Krazy-Car traveling at 50 mph is normally distributed with a mean of 50 ft. and a standard deviation of 5 ft. Answer the following without using a calculator or a table. • What is the likelihood a Krazy-Car will take more than 65 ft. to stop? • What is the probability a Krazy-Car will stop between 45 ft. and 55 ft.? • What percent of the time will a Krazy-Car traveling at 50 mph stop between 35 and 55 ft.? • What is the probability a Krazy-Car will require less than 50 ft. or more than 60 ft. to stop?Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)(a) In a manufacturing process, the diameter of steel rods is distributed normally with a mean value of 5 mm and standard deviation of 0.1 mm. If a rod is selected at random, what is the probability that its diameter will be: (i) less than 4.85 mm; (ii) between 4.9 mm and 5.1 mm? (b) A telephone exchange receives an average of 5 calls per minute. Calculate the probability that, in a given minute, the exchange receives: (i) exactly 5 calls; (ii) 2 calls or fewer.
- 2. Given the probability (or area), use the standard normal table or calculator to find the following z-score, P(z > a) = 0.0985 %3D a = ?Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 62 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 62 tons and standard deviation ? = 0.5 ton. (a) What is the probability that one car chosen at random will have less than 61.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 45 cars chosen at random will have a mean load weight x of less than 61.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 45 cars selected at random had an average x of less than 61.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…(A), (B) and (C). Please!
- A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5 centimeteres. Question: If one part is randomy selected, find the probability that the part is less than 19.3 centimeters.Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 60 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts less than 46 hours? (a) The proportion of light bulbs that last more than 60 hours is (Round to four decimal places as needed.) (b) The proportion of light bulbs that last 50 hours or less is (Round to four decimal places as needed.) (c) The proportion of light bulbs that lasts between 58 and 61 hours is (Round to four decimal places as needed.)(b) A company has 16 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x¯ of these cars is above 90 mg/mi? - life for one car model vary Normally with mean 84 mg/mi and standard deviation 6 mg/mi
