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You MUST write a brief explanation to justify your answer. No explanation=no credit. Partially correct explanation=partial credit.??a. For the events A and B, if (A∩B)' =S (where S, of course, is the sample space), then the events CANNOT be mutually exclusive.??b. In a confidence interval for the difference between n matched pairs of observations, the t-distribution to use is with 2n-2 degrees of freedom.???c. All else equal, in a hypothesis test, if we increase n, we increase α. ???d. In a linear regression, all else equal, if SST increases, r² decreases.2.The next three questions use the following joint probability table. Fill in the missing values.S = 10 S = 20 S = 30 P(A=a)A = 5 G .625A = 10 .1 .125 P(S=s) .25 .15 1a. What is the value of G????b. What is the value of E[A|S=10]????c. Is the covariance of A and S positive, negative, or zero. I'm not asking for a number. Any way you can figure this out is fine, but provide a justification.? 3.Suppose there are three events, A, B and C. B and C are mutually exclusive. P(A∩C)=.6. P(A∩B)=.25. P(C)=.5. What is P(A∩B|C)? (Or put another way, conditional on C, what is the probability of both A and B?)
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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