Please solve the following questions. Please show all work and all steps. 1a.) Find CDF of...

Please solve the following questions. Please show all work and all steps.

1a.) Find CDF of the Bernoulli Distribution.

1b.) Explain your reasoning for part 1a above. Do not use a series result.

2a.) For the geometric distribution, show that the geometric pdf is actually a pdf (all probabilities are greater than or equal to 0 and the sum of the pdf from x=1 to x=infinity is equal to 1).

2b.) Find E(X) for 2a above.

2c.) Find V(X) for 2a above.

Expert Solution

milcah answered 1 year ago

Please solve all parts of the following question. Please show all work and all steps. 1a.)...

Please solve all parts of the following question. Please show all work and all steps. 1a.) Solve x' = x + 3y + 2t y' = x - y + t^2 1b.) Solve x' + ty = -1 y' + x' = 2 1c.) Solve x' + y = 3t y' - tx' = 0

Please solve questions 1 and 2. Please show all work and all steps. 1.) Find the...

Please solve questions 1 and 2. Please show all work and all steps. 1.) Find the solution xa of the Bessel equation t2x'' + tx' + t2x = 0 such that xa(0) = a 2.) Find the solution xa of the Bessel equation t2x'' + tx' + (t2-1)x = 0 such that x'a(0) = a

Please answer all parts of the question. Please show all work and all steps. 1a.) Show...

Please answer all parts of the question. Please show all work and all steps. 1a.) Show that the solutions of x' = arc tan (x) + t cannot have maxima 1b.) Find the value of a such that the existence and uniqueness theorem applies to the ivp x' = (3/2)((|x|)^(1/3)), x(0) = a. 1c.) Find the limits, as t approaches both positive infinity and negative infinity, of the solution Φ(t) of the ivp x' = (x+2)(1-x^4), x(0) = 0

Please solve all of the questions, questions 1, 2, and 3. Please show all work and...

Please solve all of the questions, questions 1, 2, and 3. Please show all work and all steps. 1.) Find x(t) = Σ aktk such that tx'' = x 2.) Find x(t) = Σk>=0 aktk such that x'' = tx + 1 and x(0) = 0, x'(0) = 1 3.) Using the Frobenius method, solve t2x'' - 3tx' + (4-t)x = 0

Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly...

Use Laplace Transform to solve the initial value problem. Please show all work and steps clearly so I can follow your logic and learn to solve similar ones myself. I will also rate your answer. Thank you kindly! y′′ + 4y = f(t), y(0) = 0, y′(0) = 0, where;  f(t)= 1 if 1 ≤ t < 2, 0 otherwise

For a poisson distribution where X ~ Pois(u), solve the questions below. Please show all work...

For a poisson distribution where X ~ Pois(u), solve the questions below. Please show all work and all steps. a.) Show that the pmf is a pmf using the criteria for verifying pmf (2 conditions). b.) Show that E(X) = u c.) Show that Var(X) = u

solve the following LP. Formulate and algebraically solve the problem. Show all steps. what is the...

solve the following LP. Formulate and algebraically solve the problem. Show all steps. what is the new optimal z value max z=65x1+35x2+20x3 8x1+6x2+x3<=48 4x1+2x2+1.5x3<=20 2x1+1x2+0.5x3<=8 x2<=5 x1,x2,x3>=0 interpret the meaning of the shadow prices

Please solve the following breakeven analysis problem and show all systems of equations and work. (Excel...

Please solve the following breakeven analysis problem and show all systems of equations and work. (Excel solver is not neccessary for this problem) Jim and Pam are going to Culinary School! There are a group of students at the school who are drug dealers, and the Captain has received information that they are looking to start selling a dangerous new street drug to the residents of the town nearby. Jim and Pam infiltrate this group and propose that they use...

PLEASE SHOW ALL WORK AND STEPS What is the pH of a solution that contains 0.050...

PLEASE SHOW ALL WORK AND STEPS What is the pH of a solution that contains 0.050 M acetic acid, HC2H3O2 (Ka=1.8 x 10^-5), and 0.05 M hydrocyanic acid HCN (Ka = 4.9 x 1^-10)?

Please answer the following questions regarding hydroxyapatite. Please show all work. a.) How many atoms are...

Please answer the following questions regarding hydroxyapatite. Please show all work. a.) How many atoms are in the unit cell for Hap? b.) What are the unit cell parameters? Please use the attached diagram to determine. c.) Calculate the unit cell volume for HAp. d.) Calculate the density for HAp. e.) Calculate the packing factor for HAp. f.) Derive an equation for calculating the specific surface area for hydroxyapatite particles consisting of unit cell dimension particles. Calculate the value for...

Question