Solve the following by Pearson r and test the significant correlation at 5% tabular value. Interpret the results.

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: Given that: The pdf of x: fx=x218,    -3&lt;x&lt;30,         Otherwise

Q: p.d.f. h(x) of the random variable x is defined by h(x)=3/(4(1-x²)),-1<x< 1,Calculate the expected…

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Q: E (XY)=E (X)E (Y) if x and y are independent. a. b. True False

A: It is given that X and Y are independent variables or events.

Q: assessed by their leader. A '0' is 'Terrible a '5' is 'Outstanding'. The 29 members o

A: Given: Scores (x    ) frequency (f) 0 2 1 5 2 6 3 9 4 4 5 3   29

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: Given that   Standard deviation =1.6339 We have to find true or false

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A: Hint: All three companies are equally likely to be selected, therefore their probability of getting…

Q: Could you please tell me if my work is correct?   Forbes magazine published data on the best small…

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Q: given by f(z) = e²,0 <=z <=10 Calculate the probability that z is less than 0.5 O O a. b. 0.83 0.393…

A: Obtain the probability that the Z is less than 0.5.   The probability that the Z is less than 0.5 is…

Q: for the binary system if the entropy =0.9710, so the probabilities are:

A: here we are given that the entropy of the binary system is H(X)=0.9710

Q: The results of a sample of 7 data points are presented below in terms of the Average Daily…

A: Given data: Average daily temperature (x) Average monthly precipitation (y) 86 3.4 81 1.8…

Q: A random variable, y, has a known probability distribution given by :y=2, 4, 6,8,10 and P…

A: given data  y P(y) 2 0.17 4 0.23 6 0.2 8 0.3 10 0.1

Q: The following is a partial relative frequency distribution of consumer preferences for four…

A: Introduction In the given scenario, two tables of frequency distribution show the consumer…

Q: A stream of data consists of four characters A, B, C, D with probabilities 0.1, 0.3, 0.2, 0.4,…

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Q: In the study of the mediation on anxiety, participants were randomly assigned to either engag in a…

A: Each hypothesis test has two types of error. They are type 1 and type 2 error. Type 1 error, reject…

Q: A = {1, 3, 5, 7), B = {3, 5, 8, 9, 12). Then show that A-B #B-A

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Q: Using Holt's method forecasting with alpha=0.4 and beta=0.5, company ABC would like to forecast the…

A: The Holt's Forecasting for the period t+1 is given as: Ft+1=Lt+Tt Where, Lt, i.e., the current level…

Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: The probability density function explain the probability of random variable distribution over the…

Q: Consider a population of size 5: {0, 1, 2, 3, 4}. From this population, a sample size of n=2 is…

A: Hint: The possible number of samples of size n from a population of size N when sampling is done…

Q: The number of leaves on apple seedlings aged 2 months followed a normal distribution, the average…

A: The question is about normal distribution Given : Avg. no. of of leaves on apple seedlings ( μ ) =…

Q: If a researcher wants to conduct a two-tailed single sample + test with data from 30 participants…

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Q: When purchasing bulk orders of​ batteries, a toy manufacturer uses this acceptance sampling​ plan:…

A: Given: Sample size n=58 The entire shipment is accepted if at most 3 batteries do not meet…

Q: If E denotes the expectation the variance of a random variable X is denoted as? a. (E(X))² b. C.…

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Q: What percent of patients received pamidronate? What percent of patients experienced the occurrence…

A: Let us define some events A : patient receive pamidronate. B : patient experiences the occurrence of…

Q: Is the given statement true or false? a. False

A: The statement about combination is given.

Q: a. Construct a stem-and-leaf display based on repeat- ing each stem value twice, and comment on…

A: From give date we have sample  : 16 18 18 26 33 41 54 56 66 68 87 91 95 98 106 109 111 118 127 127…

Q: Coefficient 24 From the following data compute inter quartile range, quartile Deviation and of…

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Q: This assignment will assess your ability to calculate the mean, median, mode, variance, and standard…

A: Measure of central tendency is used to measure the average of the data set. Measures of central…

Q: Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing…

A: Given:  The wines are categorized into one of three clusters. The centroids of these clusters,…

Q: Why do we divide by N-1 rather than by N when estimating a population standard deviation from the…

A: We have to find correct explanation for Why do we divide by N-1 rather than by N when estimating a…

Q: (a) Find Cov(4 + 2X , 3 − 2Y ).  (b) Let Z = 3X − 2Y + 2. Find E[Z] and σ2z  (c) Calculate the…

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

Q: A random variable, t, has p.d.f. H(t) given by H(t) = 3 e-³t when t >= 0 Calculate the standard…

A: Given that

Q: . Compare the median and the mean and sta about the distribution. Comment on how th tion relates to…

A: CI Freq 300-307 10 307-314 15 314-321 41 321-328 84 328-335 86 335-342 43 342-349 18…

Q: A source produces dots. And dashes *-* with P(dot)=0.65. Find the entropy.

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Q: Use the traditional method of hypothesis testing. Complete the step 1-5. 1. The average production…

A: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: The time required to assemble a part of a machine follows an exponential probability distribution.…

A: given data X follows exponential distribution x = assembly time μ = 7 minutes∴λ = 17 per minute

Q: When we flip a coin we can expect the probability of it landing heads is the same as it landing…

A: The objective is to identify the appropriate option, that infers the likelihood of obtaining a head…

Q: in a sample space S, if P(a) = 0, then A is independent of any other event. O a. False O b. True

A: Given S be the sample space  a be the event P(a)=0

Q: Answer the following questions with TRUE or FALSE, and explain your answer: (c) For n dependent…

A: Given information: c)  Ex¯=μx d)  μ=2, σ2=4, n=4

Q: Let Z be a standard normal random variable and calculate the following probabilities, drawing…

A: a) P(0≤z≤2.61)=P(z≤2.61)-P(z≤0)                         =0.4955, from the excel function,…

Q: Engineers in a design department are assessed by their leader. A 'O' is 'Terrible' and a '5' is…

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Q: This assignment will assess your ability to calculate the mean, median, mode, variance, and standard…

A: Given: Sample size n = 63 Formula Used: Sample variance s2 = ∑i=1n(Xi-X)2n-1 Where, X is a sample…

Q: Year Discussion Questions 2. The following is the experience of Insurer A for the last three years:…

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

Q: In a service system at a bank, a sample of 40 customers is taken and the average waiting time is 12…

A: GivenMean(x)=12standard deviation(s)=2.4sample size(n)=40

Q: Let X and Y be independent exponentially distributed RVs with parameters A and respectively. Use the…

A: Solution is given below

Q: Engineers in a design department are assessed by their leader. A 'O' is 'Terrible' and a '5' is…

A: Given that: Score Number of staff 0 2 1 5 2 6 3 9 4 4 5 3

Q: Amanda Boleyn, an entrepreneur who recently sold her start-up for a multi-million-dollar sum, is…

A: Given Information: Data was collected on 13 different characteristics of 178 wines.  Amanda has…

Q: The joint PDF of two RVs X and Y is given by 11 marginal PDFs of X and Y. Are X and Y statistically…

A: The given pdf is f(x,y)=516x2y,   0&lt;y&lt;x&lt;20,              otherwise

Q: I have a bag containing 40 blue marbles and 60 red marbles. I choose 4 marbles (without replacement)…

A: Introduction: It is required to find P (X=1).

Q: If an aircraft is present in a certain area, a radar detects it and generates an alarm signal with…

A: Let us define some events A : an aircraft is present in an area. B : an aircraft is not present in…

Q: - For the RV X with PDF f(x) = the mean and the variance of X. 821123 X if 0 < x < 1, if 1 < x < 2,…

A: