Homework Answers
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0-...
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
Now the friends try a homework problem. Two forces of the same magnitude 3.00 x...
Now the friends try a homework problem. Two forces of the same magnitude 3.00 x 10' N but with opposite direction are applied to parallel faces of a metal block as shown in the Active Figure. The shear modulus of the block is 5 = 5.00 x 1010 N/m2. The two faces that sustain the shearing force are a distance h = 0.10 m apart, and have cross sectional area A = 0.020 m2. Find the value of the...
Step 3 Next, find Q1. Recall that the first quartile, Q,, is the median of the...
Step 3 Next, find Q1. Recall that the first quartile, Q,, is the median of the lower half of the data. That is, the median of the data located below the Q2 position. Consider the ordered list of data values. The median, Q2, which was determined in the last step, has been underlined for clarity. 9, 12, 12, 13, 14, 14, 15, 16, 17 values to the left of the There are nine values in the whole data set, but...
2.34. Probability integral transformation. Consider a random variable X with cumulative function Fx(x), 0-x-00, Now define a new random variable U to be a particular function of X, namely, U = Fx(X)...
2.34. Probability integral transformation. Consider a random variable X with cumulative function Fx(x), 0-x-00, Now define a new random variable U to be a particular function of X, namely, U = Fx(X) For example, if FX(x)-1-e-Ax, then U = 1-e-Ax = g(X). Show [at least for reasonably smooth Fx(x)] that the random variable U has a constant density function on the interval O to 1 and is zero elsewhere. Hint: Con vince yourself graphically thatgg (u)- u and assume that...
х P 0 .2645 1 .3518 2 .2339 os 3 2074 X 4 2065 х 5...
х P 0 .2645 1 .3518 2 .2339 os 3 2074 X 4 2065 х 5 .2208 X 0 6 or more .243976 X For a recent period of 100 years, there were 133 major earthquakes in a particular region. Assuming that the Poisson distribution is a suitable model, find the mean number of major earthquakes per year. mean = 1.33 Now, find the probablity distribution for the number of earthquakes in a randomly selected year, rounding each probability to...
R commands 2) Illustrating the central limit theorem. X, X, X, a sequence of independent random variables with the same distribution as X. Define the sample mean X by X = A + A 2 be a random va...
R commands
2) Illustrating the central limit theorem. X, X, X, a sequence of independent random variables with the same distribution as X. Define the sample mean X by X = A + A 2 be a random variable having the exponential distribution with A -2. Denote by -..- The central limit theorem applied to this particular case implices that the probability distribution of converges to the standard normal distribution for certain values of u and o (a) For what...
please asap 3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,' y. 0 0 1/12 1/6 1/24 7/2...
please asap
3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,' y. 0 0 1/12 1/6 1/24 7/24 1|¼ ¼ 1/40121/4。 2 Y 2 1/8 1/20 7/40 1/120 3 1/120 7/15 7/15 1/15!
3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,'...
Consider an id sample X1, X2,..., X, P that has been reordered as X(1) X(2) S......
Consider an id sample X1, X2,..., X, P that has been reordered as X(1) X(2) S... 5X(n) where n is very large. In the problems below, we have chosen a different distribution for P and compared the empirical quantiles to the standard Gaussian quantiles using a QQ plot. Recall that • the Laplace distribution Lap (4) with parameter 1 > O is the continuous probability distribution with density fx = $e A51, and • the Cauchy distribution is the continuous...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic...
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
Step Now we can see that b-14b - 14b 1e-14 196 1 15 -1 lim 0- 14- 196 14 Submit Skip (you cannot come back) Step 2 13 is continuous, positive, and decreasing on [1, o), we consider the since f(x)= For al3 13 n= 1 following. (If the quantity diverges, enter DIVERGES.) 13 13 13 13 dx=lim - 12(b)12 12(112 x13 12 b Submit Skip (you cannot come back) Determine whether the series is convergent or divergent. 4n+15-n n=...
Now the friends try a homework problem. Two forces of the same magnitude 3.00 x 10' N but with opposite direction are applied to parallel faces of a metal block as shown in the Active Figure. The shear modulus of the block is 5 = 5.00 x 1010 N/m2. The two faces that sustain the shearing force are a distance h = 0.10 m apart, and have cross sectional area A = 0.020 m2. Find the value of the...
Step 3 Next, find Q1. Recall that the first quartile, Q,, is the median of the lower half of the data. That is, the median of the data located below the Q2 position. Consider the ordered list of data values. The median, Q2, which was determined in the last step, has been underlined for clarity. 9, 12, 12, 13, 14, 14, 15, 16, 17 values to the left of the There are nine values in the whole data set, but...
2.34. Probability integral transformation. Consider a random variable X with cumulative function Fx(x), 0-x-00, Now define a new random variable U to be a particular function of X, namely, U = Fx(X) For example, if FX(x)-1-e-Ax, then U = 1-e-Ax = g(X). Show [at least for reasonably smooth Fx(x)] that the random variable U has a constant density function on the interval O to 1 and is zero elsewhere. Hint: Con vince yourself graphically thatgg (u)- u and assume that...
х P 0 .2645 1 .3518 2 .2339 os 3 2074 X 4 2065 х 5 .2208 X 0 6 or more .243976 X For a recent period of 100 years, there were 133 major earthquakes in a particular region. Assuming that the Poisson distribution is a suitable model, find the mean number of major earthquakes per year. mean = 1.33 Now, find the probablity distribution for the number of earthquakes in a randomly selected year, rounding each probability to...
R commands
2) Illustrating the central limit theorem. X, X, X, a sequence of independent random variables with the same distribution as X. Define the sample mean X by X = A + A 2 be a random variable having the exponential distribution with A -2. Denote by -..- The central limit theorem applied to this particular case implices that the probability distribution of converges to the standard normal distribution for certain values of u and o (a) For what...
please asap
3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,' y. 0 0 1/12 1/6 1/24 7/24 1|¼ ¼ 1/40121/4。 2 Y 2 1/8 1/20 7/40 1/120 3 1/120 7/15 7/15 1/15!
3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,'...
Consider an id sample X1, X2,..., X, P that has been reordered as X(1) X(2) S... 5X(n) where n is very large. In the problems below, we have chosen a different distribution for P and compared the empirical quantiles to the standard Gaussian quantiles using a QQ plot. Recall that • the Laplace distribution Lap (4) with parameter 1 > O is the continuous probability distribution with density fx = $e A51, and • the Cauchy distribution is the continuous...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
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