PeG Bin(250, p) The value of p is such that it is valid to apply a...
1. Let X ~ Bin(n = 12, p = 0.4) and Y Bin(n = 12, p = 0.6), and suppose that X and Y are independent. Answer the following True/False questions. (a) E[X] + E[Y] = 12. (b) Var(X) = Var(Y). (c) P(X<3) + P(Y < 8) = 1. (d) P(X < 6) + P(Y < 6) = 1. (e) Cov(X,Y) = 0.
8. For each of the following calculate the quantity indicated. [4 points each) (a) Suppose that X~Bin(15, 0.60). i. Find P(4 sXs7). Answer ii. Find a. Answer (b) Suppose that X-Poisson(a- 1.5) Find POX-3) Answer (c) Suppose that X ~ Poisson with σ-2. Find P(X < 6). Answer
Problem 3. Consider the running integral T dx 0x3 0 Determine: (a) the exact value over the domain, (b) the zero-order approximation, and c) the zero-order approximation. Apply 100 points on the interval 0xs3. (d) Plot the approximation as a continuous curve and the exact value as a sequence of o's Q8. What is exact value of z for 0<x<3 ? Q9. What is approximate value of z for 0sx<3 when using zero-order approximation with 100 points over domain? Q10....
Let descrete random variable X ~ Bin(9,0.4) Find: 1) Probability P(X> 4) 2) Probability P(X> 2) 3) Probability P(2<X<5) 4) Probability P(2<X<5) 5) Probability P(X=0) 6) Probability P(X=6) 7) ux 8) TX Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Let descrete random variable X ~ Bin(9,0.4) Find: 1) Probability P(X>4) 2) Probability P(X> 2) 3) Probability P(2 <X<5) 4) Probability P(2<X<5) 5) Probability P(X =0) 6) Probability P(X =6) 7) ux 8) OX Show your explanations. Displaying only the final answer is not enough to get credit. Note: round calculated numerical values to the fourth decimal place where applicable.
Peg P is driven by the forked link OA along the path described by r = e, where r is in meters. When 6 = rad, the link has an angular velocity and angular acceleration of 6 - 2.0 rad/s and @ = 3.9 rad/s”. (Figure 1) Part A Determine the transverse component of the peg's acceleration at this instant Express your answer to three significant figures and include the appropriate units. ΗμΑ ? m ay = Value s' Submit...
Let descrete random variable X - Bin(9,0.3) Find: 1) Probability P(X>5) 2) Probability P( X 2 ) 3) Probability P(2<x<5) 4) Probability P(2<x<5) 5) Probability P(X=0) 6) Probability P(X= 7) 7 Mx 8) Ox Show your explanations. Displaying only the final answer is not enough to get credit Note: round calculated numerical values to the fourth decimal place where applicable.
2. Suppose X - Unif (0, 1) and S, |X ~ Bin(n, X). Let I, indicate the ith trial is a success. This 10, find: implies that llx ~iid Bern(p a) P(S1o 3) X). For n c) P(I11 1S10 3) d) P(l111, 12 1S10 3)
2. Suppose X - Unif (0, 1) and S, |X ~ Bin(n, X). Let I, indicate the ith trial is a success. This 10, find: implies that llx ~iid Bern(p a) P(S1o 3) X). For...
USE MATLAB
Problem 3. Consider the running integral 'dx 0s xs3 Determine: (a) the exact value over the domain, (b) the zero-order approximation, and c) the zero-order approximation. Apply 100 points on the interval 0x<3. (d) Plot the approximation as a continuous curve and the exact value as a sequence of o's Q8. What is exact value of z for 0s x<3? Q9. What is approximate value of z for 0<x3 when using zero-order approximation with 100 points over domain?...