Joyce paid $35.00 for an item at the store that was 30 percent off the origina What was the original price?

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A: Given information: Null hypothesis: H0 : x'=x0Alternate hypothesis: HA : x'≠x0 Observed level of…

Q: n be the area of the largest disk that can be drawn in [0, 1]² which es not contain any point {P₁,…

A:

Q: pose that X is a real valued random variable and y: R → R inuous. Show that if X and (X) are…

A:

Q: In a test, students averaged 16.2 errors with a standard deviation of 4.2 errors. Say a random…

A: Given data  μ = 16.2σ = 4.2n = 49P( x¯ >15) = ? Normal distribution

Q: Consider the following Markov Chain. Assuming that the process is in State 3, what is the…

A:

Q: Let X and Y be uniformly distributed over the region given by 0≤x≤ 1, 0 ≤ y ≤ 1, and y ≤ x. (a) Find…

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Q: The goal of empirical observations is to be able to make inferences about the population we are…

A: The goal of empirical observations is to be able to make inferences about the population we are…

Q: Suppose Z ~ N(0,1). What is the correlation between Z and |Z|

A: Given that,  Z~ N(0,1)  Then |Z|~ N(0, 1) So E(Z)= 0 and E(|Z|)= 0

Q: 15) What are the reasons for sampling rather than population? a) Saving time b) Saving money c)…

A: We have to give the situations in which sampling is useful.

Q: 3.7% of a population are infected with a certain disease. There is a test for the disease, however…

A: event  A : infected person event B : positive test   P(A) = 0.037 P(A') = 1-0.037 = 0.963 P(B|A) =…

Q: A: selected number is greather than 5, and B selected number is a multiple of 3. find each…

A: 4. Here we have given, S= {2,3,4,5,6,7,8,9} n(s)  = 8 We have to find the following probabilities.

Q: a) The parameter of interest is [Select] >) The null hypothesis Ho : µ alternative hypothesis Ha: C)…

A: Given that  Sample size n =40 Sample mean=12.9 Population Standard deviation =0.3 NOTE:- According…

Q: A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are…

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Q: Treatment Drug X No drug Post-operative nausea and vomiting c. 0.50 d. 0.67 20 40 No post-operative…

A: Here wehave given the table that represents data about type of treatment drug and reaction of…

Q: Consider a for t > 0. non-homogeneous Poisson process N = (N)20 with intensity function X(t) =…

A: Given a non-homogeneous Poisson process N=Ntt≥0 with intensity function λt=2+t+t2 for t≥0.

Q: Suppose U~ Binomial(n, p) and n > 2. What is P(U > 1)?

A: It is given that  U ~ Binomial( n, p ) and n > 2.

Q: Here are summary statistics for randomly selected weights of newborn girls: n= 159, x = 32.4 hg, s=…

A: given data, n=159X¯=32.4s=6.9CI=0.95α=1-0.95=0.05

Q: Suppose U~ Select one: Binomial(n, p) and n > 2. What is P(U > 1)? a. (1-p)"-¹[(1 − p) + np] b.…

A: Given that, U~Binomial (n,p)

Q: 5. Jeff draws balls from a jar containing 2 red, 4 blue, 2 yellow. He draws two balls without…

A: It is given that  Red ball = 2 Blue ball = 4 Yellow ball = 2 Total balls = 8   Note: According to…

Q: Helen plays basketball. For free throws, she makes the shot 75% of the time. Helen must now attempt…

A: Given that  P(C) = 0.75 , P(D) = 75 , P(D | C) = 0.8

Q: Prove - If X and Y are independent random variables, then E(XY ) = E(X)E(Y ). (You can assume that…

A: Assume that X and Y are two independent discrete random variables.

Q: Total a) How many employees were studied? b) What is the mid-point of the first class "0 up to 3"?…

A: It is given that the frequency distribution reports the number of frequent flier miles, report in…

Q: Exercises 6.14 and 6.24, let X and Y denote the proportions of time out of one workweek that…

A: Given that  Joint pdf of X and Y is  f(x,y) = (x+y)  , 0<x<1 , 0<y<1

Q: The random variables X, Yeach take only the values 0 or 1. Their joint mass function is given in the…

A: Conditional probability P(A/B)= P(A,B)/P(B)  So P(X=0/Y=1)= P(X=0, Y=1)/P(Y=1) = (1/6)/(1/6 +1/4) =…

Q: Consumer Reports rated airlines and found that 79% of the flights involved in the study arrived on…

A: Let  X be the number that will arrive on time from binomial distribution with probability (p) = 79%…

Q: The expected times and variances for the project activities are given below, critical path is…

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Q: Use the data in the following​ table, which lists survey results from high school drivers at least…

A: Drove When Drinking​ Alcohol?       Yes No   Texted While Driving 680…

Q: Select all of the regions included in the following expression.  Use the image below for reference.…

A: We have to draw diagram for the below A ∪ B'

Q: 3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds…

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Q: The probability of parents having a child with blonde hair is 1/5. If there are 8 children in the…

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Q: The following table shows the results of a medical test. Positive Test Result Negative Test Result…

A: Given: As we are entitled to solve one question at a time, I will answer first question, please…

Q: One half of the people in the United States own individual stocks. In a random sample of 12 people,…

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Q: State whether each of the following random variables is discrete or continuous: 1. The number of…

A: Note: As per our guidelines we are supposed to answer only 3 sub-parts of any questions so i am…

Q: 7. Suppose that there is 50% chance that it will rain today and 60% chance that it will rain…

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Q: 200 volunteers at a local kennel were surveyed. It was found that 132 women and 68 men volunteered.…

A: given data  132 women 68 men _______________ 200 total surveyed   of the 132 women 91 liked dogs and…

Q: Consider the following election with five candidates and 7 voters. Use the methods indicated below…

A: Given information:   1 1 1 1 1 1 1 First C D C B E D C Second A A E D D E A Third E E D A A…

Q: PROB AND STATS CW PROBABILITY DEPENDEDNT AND INDEPENDENT EVENTS MR.SAM 1. There are 12 green…

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Q: Twenty horses ran in the 2016 Kentucky Derby. The Trifecta bet involves picking the first three…

A: given data  twenty horses participate in race, pick first 3 finishers in order no. of outcomes to…

Q: This slot machine is a one-coin game. For 95% confidence interval z = 1.96. Variance is 5.401. Net…

A: From given data we have : Variance σ2=5.401 so, Standard deviation σ=5.401   =2.324 n=10000

Q: 15 I have 10 discs in my car, 3 of which are rock music. If I pick 2 discs at random, what is the…

A: Given that I have 10 discs in my car, 3 of which are rock music. If I pick 2 discs at random, what…

Q: A certain forum reported that in a survey of 2004 American adults, 21% said they believed in…

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Q: Find: (a) a. X = 0 1 p(y) Y = 0 1 2 .10 .25 .25 .05 a .25 p(x) (b) The marginal probabilities for X…

A: Method: Sum of total probability must be one.

Q: Consider the following Markov chain. Assuming that the process starts in state 3, what is the…

A: Given the transition diagram of a Markov chain with 6 states as

Q: Suppose you decide to model the number of multiple choice questions you get right as a binomial…

A: Assume a random variable X, defines that the number of questions answered correctly.

Q: Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let Y be =…

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

Q: 2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 12. Let Ăn = ½/2 Σï=₁ Xį be the…

A: 2. a) Given that PXi=1=PXi=0=12. Here the tosses are independent. So, Xi's are independent random…

Q: Suppose X is a normal random variable with = 400 and = 69. Find the values of the following…

A: Let X be the random variable from normal distribution with mean (μ) = 400 and standard deviation (σ)…

Q: There are two urns. The first urn has 2 black balls and 1 white ball inside and there are 2 black…

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Q: Number Kamala is Student GPA School Average GPA School Standard Deviation Thuy 2.7 2.5 0.5 Vichet 87…

A: We have to determine the number of standard deviations each student is away from the school average…

Q: The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in…

A: The roulette wheel has 38 numbers. The numbers are 0, 00, 1, 2, 3, ..., 34, 35, 36. There are green…