*Construct a table of values for all the nonprincipal Dirichlet characters mod 16. Verify from your table that Σ x(3)=0 and Χ mod 16 Σ χ(11) = 0. x mod 16
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Let {Xi}ni be IID from Bernoulli(p). Find the moment of quantiles estimator of p and use simulations to check whether your estimator is biased or not.Students at certain university have to pass of one these three courses (MAT102, STA105, and PHY110). The pass rates for the courses MAT 102, STA105, and PHY110 are 0.54, 0.79, and 0.86, respectively. Suppose that 30 candidates take the MAT102 course, 25 take the STA105 course and 20 take the PHY110 coruse. A student takes one of these courses and passes. What are the probabilities that she took MAT102, STA105 or PHY110? Hint: Denote by Q the event a student to pass their course. Now denote by R1, R2 and R3 the events to take courses MAT102, STA105, and PHY110. The pass reates then represent the conditional probabilites: P(Q| R1), P(Q| R2) and P(Q| R3). The number of students taking the courses can be used to estimate the probabilities for R1, R2 and R3. For example, since there are total of 30 + 25 + 20 = 75 students that take the courses, for R1 we have: P(R1) = 30/75 = 2/5 What you are asked is: given that a student passes (event Q) estimate the probabilities that she took MAT102…
- Let X be a uniform random variable on the interval [-1, 3] such that:u2 + 4Xu + 1 = 0.1. What is the probability that this equation has complex roots?2. What is the probability that this equation has real rootsdistinct roots?3. What is the probability that this equation has a double root?#19 from bookLet {Xi}ni be IID from Bernoulli(p). Find the method of moments estimator of p and use simulations to check whether your estimator is biased or not
- #18 from textbookThe populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can 2632 be modeled by P where t represents the year, with †= 0 corresponding to 2000. Use the 1+0.083e0.0500f model to find the numbers of cell sites in the year 2009. 2,326,853.00 2,327,853.00 2,329,853.00 2,330,853.00 2,328,853.001. A voltage V being supplied to an electrical circuit at time + is V=100sin50++50sin100t. Find the maximum and minimum values of V over one period. You must use algebra.
- Please, I need a solution in R, not pythonhow do i asnwer theseWhich one is correct? Consider the Cobb- Douglas production function, Q = aK^bL^c ; b and ca) Can be estimated using OLS on the equation Q = a +bK+cL b) Can be calculated from the covariances of K and L with Qc) cannot be estimated using OLS d) can be estimated using OLS on the equation log(Q) =log(a) +b log(K) +b log(L)

