a) Calculate the probability that X₂ is between 2 and 4, P(2

Q: b) What is VAR[C], the variance of C ?

A: Voice calls cost 20 cents each and data calls cost 30 cents each. C is the cost of one telephone…

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A: Given, y1y2 = 111-1x1x2 So,  y1 = x1+x2y2 = x1-x2 And, Mean is 0 and Variance is 1 So, E(xi) =0…

Q: c) Find the mean and variance of the statistic Y, if i) _Y = 2=1X. ii) Y=1 4X₂² X3 d) if y = X₁² +…

A:

Q: 25. The mean and variance of a Binomial distribution are 3 and 2 respectively. The probability that…

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Q: 43. Let X1, X2, ., Xn be a random sample from exponentially distributed population with variance 02.…

A: Option a) is correct.

Q: please solve parts (d) and (e)

A: If you have any queries, please comment.

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Q: 12.) Let X be a random variable that tells us the total value of rolled dice (dice means two). Then…

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Q: 4. The joint probability distribution of X and Y is given in TABLE Q4 a. TABLE Q4 a 2 3 4 Y 1 0.04…

A: Given that  The joint probability mass function of X and Y is  Y     X X=1 X=2 X=3 X=4 Y=1 0.04…

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A: Given  X~N(θ,1)

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A: Here we have given X is standard normal variate Y = 2X+3 AND Z =-X+6 We have to find the following.

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A:

Q: Suppose that P is a probability measure defined on the sample space S. Prove that P(AOB")=1-P(A)–…

A: Solution: 3. It is needed to prove that

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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A: To get the maximum likelihood estimator, we maximize the likelihood function. To an estimator T be…

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A:

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

Q: Q6) Let X be a normal random variable with mean equal to 40 and standard deviation 12. Find the…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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A: Given,

Q: Q': The probability of a design (A) to be successful is (18/30) and to be successful from design (B)…

A: GIven, For design A: Probability of Successful = 1830 = 0.6 Probability of failure = 1 - 0.6 = 0.4…

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

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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A:

Q: Choose from group A what suits her from group B: group A group B 1): The total area under a normal…

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Q: 37. If X is a random variable having the standard normal distribution and Y = X2, show that cov(X,…

A: Solution:-Certainly! Here's the explanation with all equations transformed into plain text for use…

Q: 1.Two dice are rolled. The random variable of interest, Y , is the absolute value of the difference…

A: Given, Two dice are rolled. The random variable of interest, Y , is the absolute value of the…

Q: 6). If X is a binomial random variable with n=6 and p=0.4, the probability P(X21) is A) 0.2333 B)…

A: Q-6)binomial distributionn = 6p = 0.4P(x≥1) = ? Q-7)binomial distributionn = 9p = 0.4standard…

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(mean of X,…

Q: 1). Let Z be standard normal random variable, find b such that P(Z > b)= 0.1251 01115 15 C) 2.24…

A: standard normal distribution Z~N(0,1) P(z>b) = 0.1251 b = ?

Q: 9. For a normal distribution with u = 12.8 and o = 1.35, find the probability of... a) P(x > 11) =,…

A:

Q: Determine the value of K

A: Given information: fx=K1+x2, -∞<x<∞ Condition for valid density function, ∫-∞∞fxdx=1.

Q: 5. The random variable X represents the number of cherries in a cherry puff, and has the probability…

A: Solution

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A: Answer is given using concept of iid and expectation. please find solution below:

Q: There are 5 companies, each sells a bond that will pay $20 in one month. For each company the bond…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose 2 has a Standard normal distribut mean of and standard deviation of 1. Te probability that 2…

A: Given that Z is a standard normal distribution with mean 0 and standard deviation 1.

Q: 4. Consider the quadratic equation x² + Bx + C = 0. Suppose that I choose B and C independently from…

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Q: OLAG X is a normally distributed random variable with u = 25 and o = a) What is the 85th percentile…

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Q: Q1) Let X denotes the minimum of the two numbers that appear when a pair of fair dice is thrown…

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Q: 12. The number of swimming accidents per week at a particular stretch of coastline is a Poisson with…

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Q: a.b.c

A: Standard normal distribution:The standard normal distribution is a special case of normal…

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A: Given  Xi~N(0,1) , i=1,2,..,5

Q: A normal population has a mean μ=47  and standard deviation σ=3  . Round answers up to four decimal…

A: The mean is 47 and the standard deviation is 3.

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: a) X is a normally distributed variable with mean u = 30 and standard deviation o = 4. Find i) P(x…

A: As per company guidelines I solved exactly 1  question (3subpart)

Q: Q1 The travel time (T) from district A to district B in a city may be 0.5, 1.0, 1.5, 2.0, 2.5 or 3…

A:

Q: d) P(-4 35) f) P(|X-6 < 12.4)

A: Given that,X has Normal distribution having parameters:Population mean Population variance…