What is the probability of a continuous Normal random variable given a value of the random variable? What are the parameters? Use a calculator and show the functions used to find P(X>10) given a mean of 25 and a standard deviation of 2.
Q: The average daily sales(X) of a branch are $500 and standard deviation is $51. Assuming the…
A: Answer: From the given data, The daily sales (X) are normally distributed with mean (μ) = $ 500…
Q: On an exam, Tom scores 12 points above the mean and has acore of z200. The standard deviation for…
A: Z-score is the value of the ratio of the difference between the raw score and the population mean by…
Q: A random variable x is normally distributed with a mean u = 213 and a standard deviation o = 8. Find…
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Q: Mean=126 millimeters and standard deviation=8 millimeters. If a random sample of 37 bolts is…
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Q: Mean = 126 millimeters,variance = 64,if a random sample of 37 bolts is selected,what is the…
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Q: Porphyria is a pigment in blood protoplasm and other body fluids that is significant in body energy…
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Q: What is the calculator command used to find the probability of a continuous Normal random variable…
A: The Normal distribution is a continuous probability distribution that is symmetrical on both sides…
Q: A random sample of 10 houses was taken from the population of 120. The average population per house…
A: Given: sample size n =10 houses population size = N =120. mu = 10 sigma = 4 sample mean = x bar
Q: X is a random variable of student score approximately normal with mean μ = 60 and a standard…
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Q: For a standard normal curve, find the probability a value has a z-score less than -2.
A: Standardized z-score: The standardized z-score represents the number of standard deviations the…
Q: Find the value of the standard normal random variable given P(z > #) = 0.2073. (Use a table or…
A: The given random variable is a standard normal random variable. The objective is to find out the…
Q: distribution with values between 15 and 29. What is the mean and standard deviation of X?…
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Q: X is a normally distributed random variable with a standard deviation of 3.50. Find the mean of X…
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Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…
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Q: The random variable X has a uniform distribution with values between 12 and 14. What is the mean…
A: Given data, The random variable X has a uniform distribution. i.e. X ~ Uniform(a=12,b=14) We want to…
Q: The average daily sales(X) of a branch are $500 and standard deviation is $51. Assuming the…
A: It is given that Mean, μ = 500 Standard deviation, σ = 51
Q: Let X be a variable with normal distribution with mean ? = 36.8 ℃ and standard deviation ? = 0.4 ℃.…
A: We want to find probability of temperature reaches more than 40° c
Q: The amount of rain falling in Waimea Canyon State Park, Kauai is normally distributed with a mean of…
A: Let x¯ is defined as the mean rain of 16 randomly picked days which follows normal distribution. The…
Q: An unknown distribution has a mean of 150 anr a standard deviation of 12. Sample of size n=56 are…
A: X~N( μ , ?)μ=150 , ?=12 , n=56Z-score =( x - μ )/?
Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…
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Q: A uniform distribution has parameters a = 4 and β = 9. Find the probability of randomly choosing a…
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Q: The expected value of a random variable X is 140 and the standard deviation is 14. The standard…
A: From the provided information, Expected value of a random variable X is 140 and standard deviation…
Q: Question [5] The number of calories in a salad on the lunch menu is normally distributed with mean =…
A: Given data,Mean μ=100Variance σ2=16sd σ=4
Q: The wait times at a local coffee shop are normally distributed with a mean of 3.2 minutes with a…
A: We have given that X~N(mu, sigma^2) mu=3.2 , sigma =0.8 Z-socre =(x-mu)/sigma
Q: Find the mean and standard deviation for the number of 240 defects. Mean: Standard Deviation:…
A: The product is manufactured in batches of 240 and the overall rate of defects is 44.8% That is,…
Q: The number of tickets purchased by an individual for Beckham College’s holiday music festival is a…
A: Given that the number of tickets purchased by an individual for Beckham College’s holiday music…
Q: Porosity measurements in several oil fields show a normal distribution with a mean of 5% and a…
A: Given that the mean of the distribution is = 5% and standard deviation=1% So the sample mean= 5%…
Q: The distance the tires can run until wear- out (X) is a normally distributed random variable with a…
A: Answer: From the given data, X : The distance the tires can run until wear- out X is normally…
Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…
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Q: The grades for a statistics exam are normally distributed (n = 21) with a mean of 70 and a standard…
A: Given: X=Student's grades for statistics exam sample size n=21 mean of sample X¯=70 standard…
Q: variable X has a uniform distribution with values between 10 and 26. What is the mean and standard…
A: The mean of X can be calculated as: E(X) = a+b2 =10+262 =362 =18
Q: The number of tickets purchased by an individual for Beckham College’s holiday music festival is a…
A: Number of tickets is uniformly distributed where Mean of uniform distribution is given by:
Q: A random variable follows binomial distribution with parameters n = 43 and p= 0.56 Find the mean…
A: From the provided information, Sample size (n) = 43 And p = 0.56
Q: Assume that x has a normal distribution with the mean=4 and standard deviation=6. Find the…
A: It is given that, X has a normal distribution with mean, μ =4 and standard deviation, σ =6.
Q: normal distribution with a mean of 26 and a standard deviation of 5. Suppose a show is randomly…
A: Given that, Mean, mu= 26 And standard deviation sigma= 5 We know that, Z-score= (X-mu)/sigma
Q: Scores on an employment test follow a normal distribution with a mean of 222 and a standard…
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Q: You run a candle manufacturing factory and over the past year the average output of the factory is…
A: From the provided information, Mean (µ) = 480 Standard deviation (σ) = 10 X~N (480, 10) Sample size…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard…
A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…
Q: For a normally distributed random varible y, mean is 25 and standard deviation is 9. Find the z…
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Q: Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.
A: Given, Mean=0 S.D=1 P(z>0.5)=?
Q: The number of tickets purchased by an individual for Beckham College's holiday music festival is a…
A: According to the definition, "A random variable with an interval (a,b) is said to be following…
Q: Mean = 126 millimeters-variance=64-if a random sample of 37 bolts is selected , what is the…
A:
Q: A binomial distribution happens such that q=4C2/100 and n=6C1.Find the square root of std deviation.
A: The objective of this question is to find the square root of the standard deviation of a binomial…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find…
A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…
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- The focus of a human eye is measured in diopters. For a given person, the focus is modelled by a random variable with normal distribution N(μ, o) with mean and standard deviation o. Th focus under which eye correction for nearsightedness (myopia) is considered necessay is -3 diopters. The focus of a normal eye is larger than this value. Mr Y. got arrested for going through a stop sign, not wearing glasses. Throughout the exercise the threshold is set to 5%. Based on 3 measurements on Mr. Y, we have observed an average focus of -0.94. The hypothesis testing the policeman intends to do is H₁:> -3. a. Assuming the standard deviation known and equal to o = 1.6 diopters, the rejection region of the test statistics is (-∞, -1.645) (-1.96, 1.96) * (1.645, ∞)Let the random variable x have a normal distribution with a mean value of 70 and a varience of 25. Then find the probability that P (x<80)Standing eye heights of women normally distributed with a mean of 1516 mm and a standard deviation of 63 mm. What % of women have a standing eye height between 1420 mm and 1560 mm, and what is the probability that a group of 20 women has an average standing eye height that is less than 1500 mm? Even though the sample size is less than 30, why can the Central Limit Theorem still be applied?
- Systolic blood pressure readings are normally distributed with a mean of 121 and standard deviation of 15. If a person from the population was selected at random, find the probability that their blood pressure is in the acceptable range (between 114 and 140) for an athletic activity. A. Label and shade the normal distribution curve to model this problem.Mean=126 millimeters and standard deviation=8 millimeters. If random sample of 37 bolts is selected, what is the probability that the sample mean would be less than 128 millimeters?Q2: Suppose the current measurements in a strip of wire are assumed to follow a normal distribution with a mean of 10 milliamperes and a variance of 4 (milliamperes)² 1- What is the probability that a measurement will exceed 13 milliamperes? 2- what is the probability that a current measurement is between 9 and 11 milliamperes?
- Scores on an employment test follow a normal distribution with a mean of 188 and a standard deviation of 47. If we select an individual at random, what is the probability that his/her score on this test will be equal to or less than 259? (Provide your answer as a number between 0 and 1, rounded to 4 decimals).A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.5 years, and standard deviation of 0.5 years. If you randomly purchase 20 items, what is the probability that their mean life will be longer than 12 years? Round your probability to 4 decimals. Showing work is REQUIRED. Add WorkThe number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 5 to 15. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.) Mean Standard Deviation
- ABC Builder decides to apply a veneer to an external part of the building in order to protect it from erosion. If the density of the veneer follows a uniform distribution between 12 and 24 microns, determine: the mean density of the veneer of the protective building The standard deviation of the density of the protective building The probability that the protective building is between 15- and 20-microns dense The probability that the protective building is less than 22 microns dense.The factory produces a certain type of sunblock. each barrel with the sunblock has some impurities in it. let the random variable X be the amount in grams of impurities in a given barrel. the mean of X is 6.50 grams with standard deviation 1.50g. a random sample of 50 barrels is collected and the average amount impurities per barrel is measured what is the approximate probability that this sample mean is less than 7.00g? use the z- table Round the answer to the nearest hundredth.***Only do this question if using Minitab and show images*** Let X1, X2, X3, . . . , X200 denote the weights of 200 independent and identically distributed bags of candy corn. If the mean weight of each bag is 2 lb. and its standard deviation is 0.07 lb., determine the probability that the average of 200 bags weighs between 1.997 lb. and 2.06 lb. Show your answer using Minitab.
