Distribution

Q: OConsider the mixture distribution Y-binomial (n, p), and X|Y~exponetial (0 = A-, B(1+Y) Find (a)…

A: Given the mixture distribution      Y~Binomialn, p X/Y~Exponentialθ=1β1+Y

Q: rifle at the target on the (x, y) plane. A boy shoots at the target on the (x, y actual point in…

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Q: Inferential Statistics gives us tools on determining exact values of the parameter. O True O False

A: Answer:- Statement is False.

Q: Please write a summary on quadratic expressions of normally distributed random variables and their…

A: The nx1 vector  of random varibles y is said to be distributed as a multivariate normal with mean…

Q: probability

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Q: Conditional probability distribution Y given that X = 0.5 y f(x, y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1…

A: Answer - Given table x y f(x,y) -1 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1 2 1/3  Find  fyxy =…

Q: Let X be a continuous random variable with the cumulative distribution function ja x≤2 ja 24 Find…

A: given data cdf : F(x) = 0x≤212x-12<x≤41x>4  we have to find median of variable x.

Q: Continuous Distribution The random variable Y = Ln (X) has a normal distribution with a mean of 5…

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Q: The value of y at x-7 from the data (2, – 1),(4,2), (6,3),(8,0) 1.312 A O 2.125 B O 0.125 CO 2.314 D…

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Q: (Variance) The distribution of the amount of gravel (in tons) sold by a building materials company…

A: A continuous random variable indicates the distribution of amount of gravel sold by a building…

Q: You are running an Analysis of Variance to test if there is a difference in hourly rates of three…

A: Given: Total sample size N = 15 Significance level α = 0.025 Formula Used: F-statistic = MSBMSW MSB…

Q: Not understanding how they’re getting the p value

A: Given: n=193p=number of independent variables=4R2=0.11F=5.81P-value<0.01

Q: ← Find the critical value to for the confidence level c=0.90 and sample size n = 10. Click the icon…

A: Confidence level (c) = 0.90 n = 10

Q: The figure on the right shows three unimodal and symmetric curves: the standard on, the…

A: Standard normal distribution:

Q: requency of Occurrence Luanbaa P(Y - y) P(x -x) of Occurrence 15.8 15.7 15.9 15.8 16.0 15.9 16.1 160…

A: Solution: x P(X=x) x2 x×P(X=x) x2×P(X=x) 15.8 0.1 249.64 1.58 24.964 15.9 0.2 252.81 3.18…

Q: You are conducting a test of the claim that the row variable and the column variable are dependent…

A: The chi-square analysis is used to examine the link between two or more qualitative factors. In the…

Q: Perform an analysis of the following graphs Probability density vs diameter of nanowires

A: Given information: The probability density plot is given.

Q: Probability mass function A coin is flipped thrice, let random variable x be the maximum of the…

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Q: Regression StatisticsMultiple R 0.890579188 Business Administration Program Final Assessment…

A: A multiple regression analysis is used when two or more independent variables are used to predict a…

Q: Find the quantity (deviance) for testing the hypothesis H0 and the pvalue

A: Given that xiyi1212121714151418162420312440Distribution: PoissonLink: Logarithmic

Q: If x be a normal variate with mean 3 and variance 16, find the value of t such that P(3 <Xs t) =…

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Q: Model Parameters (Points) Source Value Standard Error t Pr > |t| Intercept 0.437798…

A: From the given output 1. Write down the estimated regression equation that could be used to estimate…

Q: Variance: -12 X

A: The probability density function f(x)= over the interval[2,6]A random variable…

Q: MODELING REAL LIFE The stem-and-leaf plot shows the numbers of confirmed cases of a virus in 15…

A: Given stem-leaf plot:

Q: Statistics application: expand (x-µx)²(y-µy)². This arises in studying bivariate distributions, i.e.…

A: Introduction: It is required to expand the given expression.

Q: A survey was conducted that asked 1006 people how many books they had read in the past year. Results…

A: Given,sample size(n)=1006sample mean(x¯)=13.3standard deviation(s)=16.6degrees of…

Q: find the best fits with a linear function. Compute the error E.

A: Given: {(1,2),(3,4),(5,7),(7,9),(9,12)}

Q: Data from a small bookstore are shown in the accompanying table. The manager wants to predict Sales…

A: By the given data,we havex¯=(2+3+....+19)/10=10.1y¯=(11+12+14+...+27)/10=18.1…

Q: The rectangles of a histogram is proportional to O Cumulative frequencies of the distribution O…

A: Here we have identify the rectangle of histogram proportional to

Q: Probability The most important function in probability and statistics is the density function for…

A: We will use Excel to find the required areas under the standard normal curve.

Q: bab

A: to find P(X≥0 and Y&lt;3)

Q: Let X be a random variable having the uniform distribution on the interval (0,0+ 1), 0 E R. Show…

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Q: The Utah opveror wants to know Ifthe Proportion ot Hthe utan poverty population who'apply for…

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Q: Compute the mean square value of noise output voltage.

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Q: Conditional probability distribution Y given that X = 1 f(x, y) 1/3 y -1.0 -2 -0.5 -1 1/6 0.5 1 1/6…

A: Solution-: We have following table: X Y f(x,y) -1 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1 2 1/3…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!