Let (An) and (Bn) be (Fn)-martingales on (2, F, P) and let Cn = A - Bn. Show that E [(Am - An) |Fn] = E[Cm – Cn|Fn], 0

Q: nts to test that claim that, on average, her students average mark is 85. She pulls the records of 1...

A: Given: n = 100 μ=85σ=15x¯=75.40 It is two tailed test.

Q: Suppose you have the following information on whether households have a landline phone or not, broke...

A: Given data  Sample size, n=500     Community A   Community B   Age of Household Head <35 35+...

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Q: Determine whether the events 'a randomly chosen student is a male' and 'a randomly chosen student is...

A: Given:

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Q: A fair die is rolled three times. What is the probability of obtaining at least two 5's? P(at least ...

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Q: The​ p-value is

A: Given : ZSTAT = -2.76

Q: Calculate the value of r with the Concurrent deviation method for the following data. X: 15 14 21 14...

A: The following data is given: x Y 15 31 14 46 21 31 14 42 18 40 32 36 19 30 18 29 ...

Q: A check-cashing service has found that approximately 5% of all checks submitted to the service for c...

A: Confidence interval is an interval such that the probability of the unknown population parameter to ...

Q: Identify if this is a rate, ratio, or a proportion: Numerator: Number of women in NCR who died from ...

A: Given Numerator: No. of women in NCR who died from breast cancer in 2015 Denominator: No. of women i...

Q: 0. 3. Calculate co-efficient of correlation between x & y by direct method, when X= 78 89 97 69 59 7...

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Q: consider the hypotheses below. Ho: µ = 50 H1: µ# 50 siven that x = 54, s= 20, n= 16, and a = 0.01, a...

A: We have given that  x = 54, s = 20, n = 16, and  Level of significance= alpha= 0.01,

Q: The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-sh...

A: Given that ; Mean(u) = 38 Standard deviation = 10 By using standard normal distribution emperical ru...

Q: Find probable error, when the coefficient of correlation is 0.8 and number of items is 64 and interp...

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Q: Suppose that two continuous random variables X and Y have joint probability density function fxy = A...

A: From the given information, Consider, Consider, EX=∫12xfxdx        =∫12x*0.009-e-3+2x+ex+19.0855ex...

Q: A survey was conducted in respect of marital status and success in examinations. Out of 2000 persons...

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Q: Please do STEP 2 only. STEPS IN THE SAMPLING PROCESS: Define the population from which the sample ...

A: 2. A pop. frame is a list of units in the target pop..

Q: Before an increase in excise duty on tea 400 people out of a sample of 500 persons were found to be ...

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Q: Give three numbers whose mean is 8, mode is 6 and median is 10 and range is 8.

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Q: For the numbers 5, 6, 7, 8, 10, 12, if S, and S, are the respective Root Mean Square Deviations abou...

A: Given : 5,6,7,8,10,12 number of sample(n)=6 Mean: x=∑i=1nXin=5+6+7+8+10+126=8 Root mean square for m...

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Q: The arithmetic mean and the standard deviation of a set of 9 items are 43 and 5 respectively . If an...

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Q: A die is thrown at random. What is the expectation of the mumber on it ? 1 3 4 6. 1/6 176 1/6 1/6 1/...

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Q: e score on a statistics test was 2.44 with a standard deviation of 0.78. The teacher suspects that t...

A: Let old value be X, new by Y = aX + b E[X] = 2.44 sd[X] = 0.78 E[Y] = 3.3 sd[Y] = 0.22

Q: Multiple-choice questions each have 3 possible answers, one of which is correct. Assume that you gue...

A: Given that  Total number of questions=5 Correct choice=1/3 Incorrect choice=2/3 Use Multiplication r...

Q: 5. A researcher surveyed the households in a remote area. The random variable X represents the numbe...

A: Given that  Probability mass function of X is  x 0 1 2 3 4 P(X=x) 0.02 0.18 0.30 0.40 0.10

Q: For this activity identify the independent or quasi independent and dependent variables in the follo...

A: Please find the step by step explanation below. Thank you

Q: ) Find the correlation between social intelligence score obtained with the obtained by Dutt Self-Con...

A: Given that  X Y 80 112 78 98 56 82 45 78 48 56 72 78 68 79 57 62 65 87 61 88 ...

Q: Suppose that two continuous random variables X and Y have joint probability densi fry = A(exy +e 2x-...

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Q: insurance in the 50 states and Washington DC for the year 2002.the percent of people not covered by ...

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Q: Test the significance of r, 50 for 12.3 0.60 and N 12.3

A: Given Information:       N=50r12.3=0.60

Q: For certain data the following regression equations were obtained: 4х — 5у + 33 % 0 20x + 9y -- 107 ...

A: Given two equations : We have to estimate y when x=20 And x when y=20

Q: The cumulative distribution function of the continuous random variable X is given by: img Calculat...

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Q: Assume that when adults with smartphones are randomly selected, 49% use them in meetings or classes....

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Q: How would you use the normal distribution to find approximately the frequency of exactly 5 successes...

A: The objective is to find the frequency of exactly 5 success in 100 trials when probability of succes...

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Q: 4. A die is rolled 100 times with the following distribution: Humber 1 2 3 4. Observed frequency 17 ...

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Q: 3. Someone claims that a one year increase in the average age of birth mothers is associated with an...

A: Given that  Someone claims that a one year increase in the average age of birth mothers is associate...

Q: 56) Find the Fisher's index number for the year 2015 from the following data. Item Base year 2014 Cu...

A: Given:

Q: 6. The personnel department of a company has records which show the following analysis of its .. emp...

A: Given: The table given is as follows Uni Bachelors Masters Phd UODA xxxx xxx xxx North South...

Q: a member is selected at random from the population represented by the graph. Find the probability th...

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Q: A. Accept Ho B. Reject Ho C. Fail to reject Ho D. Accept H, E. Reject H, F. Fail to reject Hạ

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Q: Discuss the Layout of R.B.D.

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Q: If a baseball player has a batting average of 0.345, what is the probability that the player will ge...

A: number of trials (n) = 4 p = 0.345 q = 1- p = 1-0.345 = 0.655 Here we will use binomial distribution...

Q: A The table given below gives the Reven intelligence score and doe of a group of students of Class-X...

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Q: Listed below are amounts (in millions of dollars) collected from parking meters by a security servic...

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

Q: The following data shows the number of hours slept by a patient in 1 weeks                      12 ...

A: The following data shows the number of hours slept by a patient in 1 weeks   12 ,  18 , 09,  16 ,  ...

Q: Response Relative Frequency Very likely 0.05 Fairly likely 0.06 Not too likely 0.25 Using the inform...

A: Given that  Relative Frequency table  Response  Frequency  Very likely  0.05 Fairly likely  0...

Q: Exercises 29: Recent studies of the private practices of physicians who saw no Medicaid patients sug...

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Q: A political scientist surveyed 20 active members of a small political action group about how many ho...

A: Frequency distribution is the presenting of data in table format by framing the class intervals.