Calculus and Above

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In the United States, the mean yearly precipitation in
Second opinion] In the United States, the mean yearly precipitation in Toledo, Ohio is 51 inches. The yearly precipitation is normally distributed and the population standard deviation is 10.84 inches… read more
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A sample of 95 men found that 36 gamble. Another sample of
A sample of 95 men found that 36 gamble. Another sample of 66 women found that 19 gamble. At α-level of 0.01, do the proportion of women gamble less than men? (10 points)a) Based on reading the proble… read more
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The acceleration of an object moving in the gravitational
The acceleration of an object moving in the gravitational field of the Earth isa = -GMEr/r^3 where r is the position vector directed from the center of the Earth toward the object. Choosing the origin… read more
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1. Apply the Central Limit Theorem for Sample Means A
1. Apply the Central Limit Theorem for Sample Means A population of values has a normal distribution with μ = 209 and σ = 22. You intend to draw a random sample of size n = 35.Find the probability tha… read more
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In general, a college student's weekly spending is μ = \$100
In general, a college student's weekly spending is μ = \$100 and σ = 20. This distribution is normal. What is the probability of obtaining a sample mean between 94 and 106 for a random sample of n = 25… read more
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9 A population of values has a distribution with μ = 116.2 μ
THIS IS QUESTION #9 A population of values has a distribution with μ = 116.2 μ = 116.2 and σ = 13.4 σ = 13.4 . You intend to draw a random sample of size n = 168 n = 168 .According to the Central Limi… read more
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A population of values has a distribution with μ = 173.8 and
A population of values has a distribution with μ = 173.8 and σ = 44.3 . You intend to draw a random sample of size n = 39 .According to the Central Limit Theorem:(a) What is the mean of the distributi… read more
rajeevanpillai
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1 point) The length, X, of a fish from a particular mountain
1 point) The length, X, of a fish from a particular mountain lake in Idaho is normally distributed with μ=8.7 inches and σ=1.7 inches.(a) Is X a discrete or continuous random variable? (Type: DISCRETE… read more
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Let X have a uniform distribution on the interval [0, 1].
Let X have a uniform distribution on the interval [0, 1]. Given X = x, let Y have a uniform distribution on the interval [0, x + 1]. (a) Find E(Y |X = x). (Given X = x, calculate the expected value of… read more
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Let X and Y be independent random variables. The pdfs of X
Let X and Y be independent random variables. The pdfs of X and Y are: fX(x) = e−x for x>0 fY(y) = e−y for y>0. FindP(X+Y >1).… read more
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Coal is carried from a mine in West to a power plant in New
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 84 tons of coal into each car. The actual weight… read more
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Suppose a simple random sample of size n=49 is obtained from
suppose a simple random sample of size n=49 is obtained from a population with μ=84 and σ=28. Choose th ecorrect description of the shape of the sampling distribution of x. a. the distribution is unif… read more
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I am preparing for a probability theory test and I am having
I am preparing for a probability theory test and I am having problems with MGF's these are some examples from previous exams which I would like solutions for along with explanations to help me study. … read more
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An advertising company routinely sends a survey to TV viewers
An advertising company routinely sends a survey to TV viewers to determine their opinion of the commercials it produces based on a scale of 0 – 10. The mean rating (m) on this survey over the past dec… read more
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1. The lengths of human pregnancies are normally distributed
1. The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days? (Points : 6)… read more
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The Pareto distribution, with parameters α and β, has pdf
The Pareto distribution, with parameters α and β, has pdf f(x)=(βα^β)/x^(β+1) ,α0. a)Verify that f(x) is a pdf. b) Derive the mean and variance of the distribution. c) Prove that variance does not exi… read more
rajeevanpillai
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Use the following weights in pounds of a sample of high school
Use the following weights in pounds of a sample of high school football players to answer 1-20 below. X = {181, 206, 168, 163, 162, 184, 253, 162, 166, 165, 168, 150, 195, 200, 225, 166, 174, 166, 186… read more
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Use the inverse transform method to generate a random variable
Use the inverse transform method to generate a random variable X having the distribution Pr(X=i)= 1/[i(i+1)] , i=1,2,.... Write the algorithm, but you don't need to implement it. Hint: Determine the d… read more
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