The probability distribution of random variable X, that represent the number of defects per 20 meters of a certain fabric in continuous rolls of uniform width, is given in the following table Table: 1 Lists the number of defects per 20 meters of a certain fabric x 0 1 2 3 4 P(x) 0.39 0.32 C 0.05 0.01 Find the probability that (d) Compute the expected number of defects per 20 meters of this fabric. (e) Compute the standard deviation of the defects per 20 meters of this fabric. (f) Let the selling price of this fabric is related to X and defined by the function ‘S(x) = 50-4x’ in dollars. Compute the average expected sales per 20 meters of this fabric.

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A: Given: A dodecahedron is a die with 12 sides. Suppose the numbers on the die are 1, 2, 3, 4, 5, 6,…

Q: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).

A: GivenMean(μ)=44standard deviation(σ)=8Let "X" be the length(in cm) of aneel

Q: 2. Let X, Y be two independent random variables satisfying standard normal distributions, then the…

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Q: The dean of a university estimates that the mean number of classroom hours per week for full-time…

A: From the provided information,The data values are as follow: 12.87.611.28.85.39.614.49.1α = 0.05

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Q: Let X be a geometric random variable with parameter p = 0.1 and range space x 1 Evaluate th habilib:…

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Q: Using Basu’s Theorem to show that for a random sample drawn from a normal distribution N (μ, σ2),…

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A:

Q: X is a normally distributed random variable with mean −25 and standard deviation 4. Find the…

A:

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A: According to our guidelines we can answer first question and rest can be reposted.

Q: iv) P(z < –1.96) v) P(-1.96 < z) vi) P(-2.38 <z < -1.03)

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A:

Q: The force acting on a column of a building has a normal distribution with mean 15kips and standard…

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Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

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A:

Q: Let X be the number of anomalies that occur in the material of a particular region of an aircraft…

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Q: Question 2. Let X be a normal random variable with u = -5 and o² = 4. a) Find P(X –3|X > -5).

A:

Q: 4. The annual precipitation X in a city is modeled by a normal distribution with a mean value of µx…

A: Given: Population mean annual precipitation μx=125 Coefficient of variation δx=0.2

Q: Let Y₁ 5).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.