Let X be a random variable with mean µ and variance σ^2. Let Y = aX2 + bX + c. Find the expected value of Y.

Q: What is the probability that a leatherback turtle will weight more than 1000 pounds

A: Given that X follows N(mean = 760, SD = 98), then Z = (X - mean)/SD follows N(0,1)

Q: Assume that for the population of MBA (Supply Chain Management), the average starting salary is PKR…

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Q: Mx Sb sa e -e (5)- s16-a) X~U(a,b) , Calculate the variance of the random variable X.

A: Given mgf of Uniform distribution function, we need to find Variance

Q: Two aiplanes are flying in the same drection in adjacent paralel coridors. At tine t0, the first…

A: Given: Speed of 1st plane defined by X1 which follows the normal distribution X1~N525, 8μ1=525σ1=8…

Q: Let the random variable Y = a + bX. Then, µy = bux. O True O False

A: Given statement isY=a+bX

Q: If the X distribution of the number of fines is given by a binomial distribution (x, n = 8, p = 0.7)…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: The number of accidents causing damages in an industrial setting are Poisson distributed with a mean…

A: Given:- The number of accidents causing damages in an industrial setting follows a Poisson…

Q: How do I create a function in python that will calculate the negative log likelihood for a Gaussian…

A: The data is as follows:The objective is to create a python function that will compute the negative…

Q: X~U(a,b) , Calculate the expected value and variance of the random variable X.

A: Given that X follows Uniform(a, b)

Q: If X~beta(3,2) is independent of Y~beta(3,4), what is the distribution of X+Y

A: The objective of this question is to find the distribution of the sum of two independent random…

Q: (i) probability distribution (ii) Mean (iii) Variance.

A: It is known that the sample space corresponding to the experiment of throwing two dice contains 36…

Q: Suppose that X is a continuous random variable that follows a normal dis- tribution with mean 68. If…

A: Solution: Let X be the continuous random variable having normal distribution with mean μ= 68…

Q: Suppose that X1,X2,X3 distribution with mean 20, 25, 40 and standard deviations 4, 9, 16…

A: Given; X1~(μ1=20, σ12=42)X2~(μ2=25, σ22=92)X3~(μ3=40,…

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: The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ>…

A: Let us define X as the life of a concrete built on the seashore has a Weibull distribution with…

Q: Find the expected value of x

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

Q: A random variable X has the binominal distribution of X~Bin (10, 0.25) What is the Variance of X?…

A: Given,A random variable X~Bin(10,0.25)P(X=x)=cxn px(1-p)n-x  ; x=0,1,2,...nP(X=x)=cx10…

Q: X,,X2, ... ,X, is a random sample selected from the normal distributionx,~N(6,25) ·Ã and 52 is the…

A: There are nine random variables X1 , X2 ,....., X9 where Xt=N(6,25). The sample mean and sample…

Q: Find the probability distribution of the random variable y, which represents the number of times…

A: Given, Y 1 2 3 f(y) 130 430 930

Q: Find the joint probability function of (X,Y) where

A: Provided information is, two cards are drawn at random from a box which has 5 cards numbered 1, 2,…

Q: females have pulse rates that are normally distributed with a mean of 75.0 beats per minute and a…

A: Females have pulse rate normally distributed with mean of 75.0 beats per minute with standard…

Q: A random variable X can take only the values 2, -2, and 4. It is known that Pr[X = 2] = 0.3 and Pr[X…

A:

Q: let X be a random variable and X~B(9,0.55) find the mean (expected value) of the random variable X

A: Given : X ~ B(9,0.55) If X ~ B(n,p) then,  Mean : E(X) = n*p Here, n = 9 p = 0.55

Q: When can we apply t-distribution?

A:

Q: The following table gives the outputs of 3 years for a farm that uses 3 types of fertilizers,…

A: Given: Level of significance = 0.05   x1 x2 x3 year1 10 42 54 year2 22 47 61 year3 28 31…

Q: The mean and standard deviation of a random variable X are 5 and 4 respectively Find E (X)

A: We have given that,  X be the random variable having mean E(X) = 5 and standard deviation of X = 4…

Q: Random variable X has mean μX = 24 and standard deviation σX = 6.   Random variable Y has mean μY =…

A:

Q: Compute the mean of Y Compute the mean of X. Compute the variance of X Compute the variance of Y…

A: Note:- "Since you have posted a question with multiple subparts, we will provide solutions only to…

Q: If the mean number of people visiting a reservation counter is at any given hour is 6, then using…

A: Formula : poisson distribution is given by

Q: Let X1, X2, X3, ,X36 be independent skewed random variables with mean ux = 3 and standard ....…

A: Given : Let X1, X2, X3, ..., X36 be independent skewed random variables with mean µx = 3 and…

Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: 2) Given Y=(X+2)2, we want to find the probability that Y is greater than 1 . This is equivalent to…

Q: The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we…

A:

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: but isn't the expectation alpha times beta rather than alpha divided by beta?

A: In this question, alpha is shape and beta is rate parameters.

Q: EZ = X +Y if X,Y are

A: X follows normal distribution with mean 0 and variance 1. Y follows normal distribution with mean 0…

Q: The weight of a leatherback turtle is normally distributed with mean 760 pounds and standard…

A: Given,mean(μ)=760standard deviation(σ)=98

Q: How do I create a function in python that will calculate the negative log likelihood for a Gaussian…

A: In statistical modeling, the negative log likelihood (NLL) is a measure used to assess the fit of a…

Q: Two airplanes are flying in the same direction in adjacent parallel corridors. At time t = 0, the…

A: Here the given information is Two airplanes are flying in the same direction in adjacent parallel…

Q: If X is a random variable with any continuous distribution, explain why P(X<x)=P(X≤ x)

A: The concept of probability is an essential tool in many fields, including statistics, economics, and…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.