Question

# Fill out the table and determine the value of the following quantities, Using the following p.m.f....

Fill out the table and determine the value of the following quantities, Using the following p.m.f.

f(x)= (x+1)2/91, x=0,1,2,3,4,5

i.Probability Table:

 x f(x) xf(x) 0 1 2 3 4 5

ii . What is the E[X]?

iii. What is the E[x2]?

iv.  What is Var(x)?

SOLUTION:

From given data,

Fill out the table and determine the value of the following quantities, Using the following p.m.f.

f(x)= (x+1)2/91, x=0,1,2,3,4,5

i.Probability Table:

 x f(x) x*f(x) x2*f(x) 0 0.0109 0 0 1 0.0439 0.0439 0.0439 2 0.0989 0.1978 0.3956 3 0.1758 0.5274 1.5822 4 0.2747 1.0988 4.3952 5 0.3956 1.978 9.89

ii . What is the E[X]?

E[X] = x*f(x) = 0+0.0439+0.1978+0.5274+1.0988+1.978 = 3.8459

E[X] = 3.8459

iii. What is the E[x2]?

E[X2] = x2*f(x) = 0+0.0439+0.3956+1.5822+4.3952+9.89 = 16.3069

E[X2] = 16.3069

iv.  What is Var(x)?

Var(x) = E[X2] - (E[X])2

Var(x) = 16.3069 - (3.8459)2

Var(x) = 16.3069 - 14.79094681

Var(x) = 1.5159

Please thumbs-up / vote up this answer if it was helpful. In case of any problem, please comment below. I will surely help. Down-votes are permanent and not notified to us, so we can't help in that case.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Consider the following equations. In each case suppose that we apply the Intermediate Value Theorem using...

Consider the following equations. In each case suppose that we apply the Intermediate Value Theorem using the interval [0, 1]. (i.e., we take a = 0, b = 1 in the Intermediate Value Theorem.) (i)  x2 + x − 1  =  0 (ii)  2ex  =  x + 3 (iii)  ln(x+1)  =  1 − 2x For which equations does the Intermediate Value Theorem conclude that there must be a root of the equation in the interval (0, 1)? (A) (i) only...

• ### Determine whether or not the following transformation T :V + W is a linear transformation. If...

Determine whether or not the following transformation T :V + W is a linear transformation. If T is not a linear transformation, provide a counter example. If it is, then: (i) find the nullspace N(T) and nullity of T, (ii) find the range R(T) and rank of T, (iii) determine if T is one-to-one, (iv) determine if T is onto. : (a) T: R3 + R2 defined by T(x, y, z) = (2x, y, z) (b) T: R2 + R2...

• ### Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute...

Exercise 1 Obtain expressions for the dimensions of the following quantities using both (1) the absolute dimensional system, and, (2) the gravitational dimensional system Here, x, x1, and x2 represent lengths , t is time, m is a constant mass, <a represents acceleration, g is a constant acceleration, and F represents force E is an unknown constant quantity drr2(t) dt C2 E mg 「x(t) dt Exercise 2 Given that F is a force. is a displacement. θ is an angle,...

• ### Obtain the value of "c" for which the followeing function f(x) would be a p.m.f. of...

Obtain the value of "c" for which the followeing function f(x) would be a p.m.f. of a discvrete random variable X:- f(x) = c(x-1), x=1,2,...,10 0, elsewhere (1) Determine expectation and variance of X. (2) Find third order central moment of X (3) Find the moment measures of skewness for the distribution.

• ### 5. determine which od the reactants is the limiting react for the following quantities. fill in...

5. determine which od the reactants is the limiting react for the following quantities. fill in table below 5. Determine which of the reactants is the limiting reactant for the following quantities. Show your work below the table. Reactant Mass of reactant Mol of reactant Mol of product N2 98 g 10.0 g H2 Limiting Reactant:

• ### Model II: Table of Parameter Estimates Parameter Estimates Standard Error P-value 12.324 0.0001 3...

Model II: Table of Parameter Estimates Parameter Estimates Standard Error P-value 12.324 0.0001 3.858 0.0119 0.5550 65.095 31 β2 0.026 0.027 0.017 Model II: ANOVA Table SourceDf SS MS F Value P-value Model (4) 7) (10) (1 0.0162 Error (5) (8) 13.65 Total (6) (9) iv. In a city that has a population of 100,000 people, what is the expected change amount in expenditure (Y) with \$1,000 increase in the average annual family income (X2)? Provide an estimate based on...

• ### Can you just solve 3-6 please? Qi Suppose X and Y have the following joint PMF....

Can you just solve 3-6 please? Qi Suppose X and Y have the following joint PMF. x\y 2 4 8 -1 0 0 1/10 1/5 2/5 0 0 0 1/10 1 1/5 1. Find the marginal P.M.F. for Y, then find E(Y) and Var(Y). 2. Find E(X), the expected value for the absolute value of X. 3. Find the conditional P.M.F. for Y given that \X] = 1, then find E(Y||X| = 1) and Var(Y||X| = 1). 4. Find Cov(X,Y)....

• ### a) Solve the following transportation problem using any suitable method. The cell| entries are unit costs...

a) Solve the following transportation problem using any suitable method. The cell| entries are unit costs D D2 D D Ds 15 available 0 68 35 4 18 02 57 88 91 Irn 8 17 03 91 60 75 43 60 19 04 52 53 7 13 Os 13 7 15 51 16 18 18 Required 20 14 14 b) Reduce the following game by Dominance and find the game value. TABLE 1 PLAYERB II III IV 2 It PLAYER...

• ### Using the Planck Plotter and the information above please fill out the following table: Case T...

Using the Planck Plotter and the information above please fill out the following table: Case T (Kelvins) λmax (Å) EM Region 1 5960 2 8080 3 3680 4 3460 5 6940

• ### 3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each...

3. (16 points) (a) The graph of f(z) is given below. Using the graph, determine each of the following: i) 2-coordinate of local maxima ii) D-coordinate of local minima iii) open interval(s) on which is INCREASING between 1 = A and 2 =D iv) open interval(s) on which f is DECREASING between 2 = A and 1=D v) open interval(s) on which f is CONCAVE UP between 1 = A and z =D vi) open interval(s) on which f is...

Free Homework Help App

Need Online Homework Help?

Most questions answered within 3 hours.