Let the random variable X assume the value r, with probability law P(X=r) =q P, Find the moment generating function and hence r=1,2,3,.. %3D mean and variance.

Q: Let y be a random variable having anormal distribution with a mean equal to 250 and a standard…

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Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…

A: Given Information:  Mean (u)  = 62 kg  Standard Deviation (s) = 9 kg  Sample mean (x) = 63.8 kg…

Q: Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per…

A: From the provided information, The probability distribution table is as follow: x f(x) 10…

Q: Let z denote a random variable that has a standard normal distribution. Determine each of the…

A: Hi, we are supposed to answer three subparts at a time. Therefore, I am answering the first three…

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

A: It is given that a random sample from the Normal distribution N(μ,σ2).

Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…

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Q: Assume the petal length of a population of plants of species A is normally distributed with a mean…

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Q: Porphyrin is a pigment in blood and other body fluids that is significant in body energy and…

A: According to the provided information, μ = 38 and σ = 12.

Q: Pr(X%3х аnd Y-у), Pr(X = x|Y = y) = Pr(X=x)

A: We have given that the discrete conditional distribution formula.

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: Porphyrin is a pigment in blood and other body fluids that is significant in body energy and…

A: According to the provided information, μ = 38 and σ = 12

Q: Find the expected value of x

A: Expectation is a concept in probability. It is similar to mean.

Q: A random variable x can have five values: 0, 1, 2, 3, 4, 5. The probability distribution is:   x 0…

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Q: 1) Assume the following joint probability distribution: P(x,y) 1 X 3 5 сл 2 0.1 0 0.1 y 5 0.3 0.1…

A: First we calculate the conditional distribution of x/y= 5  We find P(x/y=5) for every value of x.…

Q: Negative correlation coefficient indicates that the movement of the variables are in: Opposite…

A: Negative correlation coefficient indicates that the movement of variables are in opposite direction.

Q: X = # of drinks per day Probability 0 0.38 1 0.32 Is this a continuous or discrete random variable?…

A: It is given as the distribution of the number of alcoholic drinks consumed per day in that…

Q: The table below shows the probability distribution for a discrete random variable X. X 0 1 2 4 5…

A: According to the given information in this question We need to find the value of n and expected…

Q: Let X represent the number that occurs when a 5-sided red die is tossed and Y the number that occurs…

A: a)The random variable X defines the number that occurs when a 5-sided red die is tossed.

Q: A student takes a test in which they have to indicate whether each of n statements is true or false.…

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Q: Let X be a random variable with range {20,30,50} and probability distribution P(X=20) = 0.25,P(X=30)…

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Q: The combined probability of the random variable X and Y is given below: a. Find the value of the…

A: Given: f(x,y)=cxy0<x<2       o<y<x0otherwise (a) Value of constant c: ∫02∫0xcxy dy…