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4. Write the name and parameters for the distribution associated with each of the following kernels...
For the Weibull distribution with parameters a and ), recall that for t > 0 the...
For the Weibull distribution with parameters a and ), recall that for t > 0 the density function and distribution function are, respectively, f(t) = alºja-1e-(At)a F(t) = 1-e-(at)a Suppose that T has the Weibull distribution with parameters a = 1/2 and 1=9. (a) (4 points) Compute exactly P(1 < T < 1.01|T > 1). Show your work. Write your answer to 6 decimal places.
4. The moment generating function of the normal distribution with parameters μ and σ2 is (t)...
4. The moment generating function of the normal distribution with parameters μ and σ2 is (t) exp ( μ1+ σ2t2 ) for -oo < t oo. Show that E X)-ψ(0)-μ and Var(X)-ψ"(0)-[ty(0)12-σ2. 5. Suppose that X1, X2, and X3 are independent random variables such that E[X]0 and ElX 1 for i-12,3. Find the value of E[LX? (2X1 X3)2] 6. Suppose that X and Y are random variables such that Var(X)-Var(Y)-2 and Cov(X, Y)- 1. Find the value of Var(3X -...
5. For the Weibull distribution with parameters a and X, recall that for t> 0 the...
5. For the Weibull distribution with parameters a and X, recall that for t> 0 the density function and distribution function are, respectively, f(t) = 410-1-(At) F(t) = 1 -e-(1)" Suppose that T has the Weibull distribution with parameters a = 1/2 and X = 9. (a) (4 points) Compute exactly P(1 <1 < 1.017 > 1). Show your work. Write your answer to 6 decimal places. (b) (4 points) Compute an approximation of P(1 <T < 1.01 T >...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let β > 0, δ > O. Consider the probability density fx(x) = βδΧ6-1 e-Px®, x>0, zero otherwise. Find the probability distribution of W-X" b) Determine the probability distribution of W by finding the p.d.f. of W, fw(w), using the change-of-variable technique D) Find the p.d.f. of W, w)-x(w ii What is the name of the probability distribution of W? What are its parameters?...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let p> 0, δ > 0. Consider the probability density x>0 zero otherwise. Find the probability distribution of w-x6 a) Determine the probability distribution of W by finding the c.d.f. of W, Fw(w). Find the cd.f. of X, Fx(x) = P(X x). “Hint', 1: u-substitution: u "Hint" 2: There is no such thing as a negative cumulative distribution function "Hint" 3: Should be Fx(0)-0,...
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity...
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the allowable...
Homework in statistics ariant 14 1. Discrete distribution for X is given by the following table:...
Homework in statistics ariant 14 1. Discrete distribution for X is given by the following table: Probabilities p Values X 0.2 40 0.1 0.5 4 0.1 50 0 20 10 20 Find distribution function fx) and median Me(x). Calculate expectation value (dispersion) D(X), standard error σ(X) , asymmetry coefficient As(X) and excess Ex(X) Mx), variance 2. Calculate multiplier k. Find distribution function fitz, mode Moty), median Meco, expectation M(x), variance (dispersion) D(x), standard error σ( for continuous distributions with the...
D and E please. 2.4-20. (i) Give the name of the distribution of X (if it...
D and E please.
2.4-20. (i) Give the name of the distribution of X (if it has a name), (ii) find the values of μ and σ2, and (iii) calcu- late P(l s X 2) when the moment-generating function of X is given by (a) M(t) - (0.30.7e')5. 0.3e 1-0.In(0.7). (e) M(t) 0.450.55e'. (d) M(t) = 0.3d + 0.4e2t + 0.2e3, + 0.1e4. (e) M(t) = Σ-1 (0.1)ex . Show transcribed image text
Need answer for 2nd only Homework in statistics Variant 6 1. Discrete distribution for X' is...
Need answer for 2nd only
Homework in statistics Variant 6 1. Discrete distribution for X' is given by the following table: Probabilities p0.10.2 values X -20 0.30.3 10 0.1 50 30 Find distribution function f0) and median Mea. Calculate expectation value M(X), variance (dispersion) Da), standard error ơ(X), asymmetry coefficient As(X) and excess Ex(X). 2. Calculate multiplier k. Find distribution function fex), mode Motx), median Mecx, expectation value MO), variance (dispersion) D(x), standard error σ(x), asymmetry coefficient As(x) and excess...
Select: less than, greater than or equal to Let X have อ bnon ial distribution witn parameters n-25 and ρ Calculate eac...
Select: less than, greater than or equal to
Let X have อ bnon ial distribution witn parameters n-25 and ρ Calculate each orthe following probabilities using the normal nation with the continuity correction to the cases ρ-0.5 0.6 and 0.8 and compare to the exact binomial probabilities calculated pro directly trarn the tarmula tar hn,p). (Round your answers ta tour decimal places.) (a) P(15X 20) P(15 s x s 20) P14.5 Normal 20.5) 0.S D.6 The nor nal approxim tion...
For the Weibull distribution with parameters a and ), recall that for t > 0 the density function and distribution function are, respectively, f(t) = alºja-1e-(At)a F(t) = 1-e-(at)a Suppose that T has the Weibull distribution with parameters a = 1/2 and 1=9. (a) (4 points) Compute exactly P(1 < T < 1.01|T > 1). Show your work. Write your answer to 6 decimal places.
4. The moment generating function of the normal distribution with parameters μ and σ2 is (t) exp ( μ1+ σ2t2 ) for -oo < t oo. Show that E X)-ψ(0)-μ and Var(X)-ψ"(0)-[ty(0)12-σ2. 5. Suppose that X1, X2, and X3 are independent random variables such that E[X]0 and ElX 1 for i-12,3. Find the value of E[LX? (2X1 X3)2] 6. Suppose that X and Y are random variables such that Var(X)-Var(Y)-2 and Cov(X, Y)- 1. Find the value of Var(3X -...
5. For the Weibull distribution with parameters a and X, recall that for t> 0 the density function and distribution function are, respectively, f(t) = 410-1-(At) F(t) = 1 -e-(1)" Suppose that T has the Weibull distribution with parameters a = 1/2 and X = 9. (a) (4 points) Compute exactly P(1 <1 < 1.017 > 1). Show your work. Write your answer to 6 decimal places. (b) (4 points) Compute an approximation of P(1 <T < 1.01 T >...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let β > 0, δ > O. Consider the probability density fx(x) = βδΧ6-1 e-Px®, x>0, zero otherwise. Find the probability distribution of W-X" b) Determine the probability distribution of W by finding the p.d.f. of W, fw(w), using the change-of-variable technique D) Find the p.d.f. of W, w)-x(w ii What is the name of the probability distribution of W? What are its parameters?...
1. The Weibull distribution has many applications in reliability engineering, survival analysis, and general insurance. function Let p> 0, δ > 0. Consider the probability density x>0 zero otherwise. Find the probability distribution of w-x6 a) Determine the probability distribution of W by finding the c.d.f. of W, Fw(w). Find the cd.f. of X, Fx(x) = P(X x). “Hint', 1: u-substitution: u "Hint" 2: There is no such thing as a negative cumulative distribution function "Hint" 3: Should be Fx(0)-0,...
Homework in statistics ariant 14 1. Discrete distribution for X is given by the following table: Probabilities p Values X 0.2 40 0.1 0.5 4 0.1 50 0 20 10 20 Find distribution function fx) and median Me(x). Calculate expectation value (dispersion) D(X), standard error σ(X) , asymmetry coefficient As(X) and excess Ex(X) Mx), variance 2. Calculate multiplier k. Find distribution function fitz, mode Moty), median Meco, expectation M(x), variance (dispersion) D(x), standard error σ( for continuous distributions with the...
D and E please.
2.4-20. (i) Give the name of the distribution of X (if it has a name), (ii) find the values of μ and σ2, and (iii) calcu- late P(l s X 2) when the moment-generating function of X is given by (a) M(t) - (0.30.7e')5. 0.3e 1-0.In(0.7). (e) M(t) 0.450.55e'. (d) M(t) = 0.3d + 0.4e2t + 0.2e3, + 0.1e4. (e) M(t) = Σ-1 (0.1)ex . Show transcribed image text
Need answer for 2nd only
Homework in statistics Variant 6 1. Discrete distribution for X' is given by the following table: Probabilities p0.10.2 values X -20 0.30.3 10 0.1 50 30 Find distribution function f0) and median Mea. Calculate expectation value M(X), variance (dispersion) Da), standard error ơ(X), asymmetry coefficient As(X) and excess Ex(X). 2. Calculate multiplier k. Find distribution function fex), mode Motx), median Mecx, expectation value MO), variance (dispersion) D(x), standard error σ(x), asymmetry coefficient As(x) and excess...
Select: less than, greater than or equal to
Let X have อ bnon ial distribution witn parameters n-25 and ρ Calculate each orthe following probabilities using the normal nation with the continuity correction to the cases ρ-0.5 0.6 and 0.8 and compare to the exact binomial probabilities calculated pro directly trarn the tarmula tar hn,p). (Round your answers ta tour decimal places.) (a) P(15X 20) P(15 s x s 20) P14.5 Normal 20.5) 0.S D.6 The nor nal approxim tion...
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