Let X(t), t2 0; denotes the Brownian motion process with drift and variance parameters, μ and o², respectively. Then prove that Var(X(t) — X(0)) = to² as the time unit A → 0.

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A: Least square method in statistics is widely used to obtain a best fitting line for a data set. In…

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Q: 9. At the start of the 2012 season, the Washington Nationals had the following salary values: Total…

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A: X has a uniform distribution with a=0 and b=80so, pdf of X…

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A:

Q: A study was conducted on the average commuting distance of students at College. The study found that…

A: Data given 20,34,20,20,15,16,19,3,1,15,12,18,15,13,1,12,8,11,20,10,7,13,13,32,7,4,63,18,24,6n=30…

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Q: Example 11. Following is the population of some cities in thousands. Present by a suitable Calcutta…

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Q: n = 47 p = 0.2 Find μ.     9.7     8.9     9.4

A: Hint:  For Binomial distribution mean = μ= np

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A: here we have to use R-studio

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Q: 1. Compute the correlation coefficient. X 5 4 2 6 3 36 4 1 4 5 1 The Correlation Coefficient Given…

A: Given: n = 5 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2

Q: = [c6, d5, e¹] Consider the bags A = [a³, b¹, c²], B = [b¹, c³, d³] and C= (CB)|? So, we want to…

A: Consider the bag as follows: A=a9, b4, c2, B=b1, c5, d8, C=c6, d5, e4 Thus, the number of elements…

Q: A Shapiro-Wilk 0.05. Which of the following statements is best? result had a p-value of O There is a…

A: Shapiro wilk test is the type of parametric test. It explains the normality occur in the data set or…

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A: We need to proof at least ten of any 64 days chosen must fall on the same day of the week.

Q: need

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

Q: A random sample of 10 subjects have weights with a standard deviation of 11.5602 kg. What is the…

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A: Given: μ=7σ=4

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A: conduct a poll E = 0.03 90% CI n = ?

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A: Data given 23.3,21.7,21.6,21.7,21.3,20.7,20.9,20.1

Q: (d) p(CM)= (e) p(C)= (1) p(C')=

A:

Q: Suppose that P(A|B)=0.3, P(A|B')=0.3, and P(B)=0.9. What is the P(A)? Round your answer to two…

A: It is given that  P(A/B) = 0.3 P(A/B’) = 0.3 P(B) = 0.9

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A: It is given that the chemical technician measured the temperatures ( in 0C ) of 15 different…

Q: Flag question of Find E(). O 0.325 O Not possible O 0.264 O 0.462 00 pring 2020/21)-Section Consider…

A: Given that  X ~ Uniform ( 2 , 8 ) Pdf of X  f(x) = (1/6) , 2 < X < 8

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A: Given: The thickness of a flange on an aircraft component is uniformly distributed between a=0.95…

Q: 1. The cost of university education is normally distributed with average of $200 and standard…

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Q: Use a standard distribution table to find a z-score such that 10.03% of the area under the standard…

A: We have to find the z such that P(Z > z) = 10.03% = 0.1003

Q: 100 Q G 2500 800- regression feature of a calculator to find the best-fitting cubic function for the…

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

Q: Use the given​ table, which lists six possible assignments of probabilities for tossing a coin​…

A: Introduction: It is required to identify which of the assignments, from A to F, satisfy the…

Q: Let the sample space be S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely.…

A: The given sample space is S=1,2,3,4,5,6,7,8,9,10 and event E=2,3,6.

Q: 3. A representative is selected at random. Find the probability the representative is female and…

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Q: es.  Use this information to answer the questions. In the theoretical normal population, what…

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Q: Q and R are independent events. P(Q) = 0.68 and P(Q and R) = 0.29. Find P(R). (Round to 4 decimal…

A: Given that  P(Q) = 0.68 , P(Q and R) = 0.29 Q and R are independent

Q: 3. If you roll Three fair six sided Dice and take the total there are 216 possible rolls (since 63 =…

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Q: I. Mean=Median=Mode II. Area under the curve= 100%, mean=0 III. there are a family of standard…

A: given data (1) mean=median=mode(2) area under the curve=100%,     mean=0(3)there are a family of…

Q: Standard score B) Standardized score C) z statistic

A: Question : When calculating a z score for distribution of means, we refer to the z score as a.....

Q: Suppose the probability density function of the length of computer cables is f(x) = 0.1 from 1200 to…

A: Given: f(x) = 0.1 a = 1200 b = 1210 Formula Used: Mean μ = a+b2 Standard deviation σ = (b-a)212

Q: A distance AB is observed repeatedly using the same equipment and procedures, and the results, in…

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

Q: (A) A p-value of 0.05 is good because there is a 95% chance that our data is due to random error (B)…

A: A p-value is a probability of obtaining the value of the test statistic or a value even more…

Q: inear regression calculus?

A: Linear Regression calculus

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A: From the above boxplots, we can see that the median value of carbohydrate in fruit is the largest…

Q: (A) Usually, p-values LESS THAN 0.05 means that our studies are significant. (B) However,…

A: A method called hypothesis testing is used to examine assertions about a population's…

Q: Let A and B have the joint probability density function f (a,b) = 6(1-a - b) for a+b 1, a>0, b>0 and…

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Q: Patient 0 was told he was not exposed to a virus based on his swab test, but he was in fact…

A: Since we know that  A type I error (false-positive) occurs when we reject a null hypothesis when it…

Q: (a) Clearly identify any outliers, using the IQR method. (b) Draw a boxplot. 2.159 Five number…

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Q: (i) If X is a Poisson variable such that P(X=2) = 9P(X=6). Find the mean variance of X (ii) A…

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