Let X be a random variable with the following probability distribution.Value x of XP (X = x)40.2550.1060.2070.3580.0590.05Complete the following.(a) Find the expectationE(X) of X.E(X) = ____(b) Find the variance Var(X) of X.Var(X) = ____image attached bellow for better view Let X be a random variable with the following probability distribution.Value x of X P(X=x)4567890.250.100.200.350.050.05Complete the following. (If necessary, consult a list of formulas.)(a) Find the expectation E (X) of X.E (X) = [(b) Find the variance Var(X) of X.Var (X) =

Answered: Image /qna-images/answer/a139ff13-f970-47d4-a391-f783a497008f.jpg

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 4 5 6 7 8 9 0.25 0.10 0.20 0.35 0.05 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = [ (b) Find the variance Var(X) of X. Var (X) =

Let X be a random variable with the following probability distribution. Value x of X P(X=x) 4 5 6 7 8 9 0.25 0.10 0.20 0.35 0.05 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = [ (b) Find the variance Var(X) of X. Var (X) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 1. The random variable X has probability distribution. 1 2 3 4 P(X=x) 0.10 0.20 0.30 Given E(x)=3.5.…

Q: A discrete random variable X has a Geometric distribution with E(X) = 1.5. Calculate P(X > 5). %3D

A: It is given that the mean is 1.5.

Q: 4. The discrete random variable X has the probability distribution given by -1 3. POX =x) 12 where a…

A: We have given that the discrete random variable X has the probability distribution. Note:…

Q: Calculate the mean and standard deviation of the discrete probability distribution. 0 P(x) 0.027 X 1…

A: Mean(μ)=E(X)=∑X.P(X)E(X2)=∑X2.P(X)Variance(σ2)=E(X2)-E(X)2Standard deviation(σ)=E(X2)-E(X)2

Q: A local teacher is interested in genealogy and decides to collect data from her colleagues. Let x be…

A: Given data is x 3 4 5 6 p(x) 0.45 0.25 0.15 0.15

Q: Let X be a random variable with the following probability distribution. Question table Value…

A: 20 0.3 6 400 120 30 0.05 1.5 900 45 40 0.4 16 1600 640 50 0.15 7.5 2500 375 60 0.1 6 3600…

Q: P(x) O 0.033 Five males with an X-linked genetic disorder have one child each. The random variable x…

A: Given data is

Q: P(x) .40 0.20971520 1 0.36700160 P(x) 30 0.27525120 0.11468800 .20 4 0.02867200 0.00430080 .10 6.…

A: [Note: Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Let z denote a random variable that has a standard normal distribution. Determine each of the…

A: Hi, we are supposed to answer three subparts at a time. Therefore, I am answering the first three…

Q: Consider the following probability distribution. P(x) = Ae¯x/x x ≥ 0. a) Determine the value for A…

Q: A random variable X has the following probability distribution. 3 P(x, ) If a simple random sample…

A: A random variable X has the following probability distribution xi 3 4 5 p(xi=x) 0.2 0.4 0.4…

Q: 1. The random variable X has probability distribution. X 1 3 5 7 9. P(X=x) 0.2 0.2 0.15 Given E(x)=…

Q: Probability distribution function of discrete random variable X is given as follows. Which of the…

A: Given probability distributionThe variance of discrete random variable X is calculated using the…

Q: X₁ X₂ X3, and X₁ are normally distributed random variables X₂ The variable(s) which follow(s) a…

A: Determining which variable(s) follow a standard normal distribution:A standard normal distribution…

Q: x 14 15 16 17 18 P(x) 0.1 0.1 0.2 0.1 0.5 Given the discrete probability distribution above,…

A: Given information: x 14 15 16 17 18 P(x) 0.1 0.1 0.2 0.1 0.5

Q: (a) Find the mean of the random variables X and Y which have the following probability distribution…

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given that Probability mass function of X X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36…

Q: local teacher is interested in genealogy and decides to collect data from her co : her school know…

A: Given data, Find Variance & standard deviation?

Q: table in such a way that X and Y are dependent random variables. Y= -3 Y=-1 Y=0 X=-2 0.01 0.10 X=-1…

A: Given that ; A discrete two dimensional random variable table is given By using marginal formula…

Q: If a random variable that follows exponential distribution shows that P(X2000)=0.7, Then P(30002000)…

A: Exponential probability distribution has memoryless property i.e. P(X < a | X > b) = P(X…

Q: Suppose the random variable Y counts the number of heads in 10 tosses of a biased coin with P(H) =…

A: Y is a random variable that can take on values from 0 to 10 with probability P(Y=y) =E(Y) =6 and…

Q: 7. The mode and variance of the daily income of 2000 workers are Tk. 100 and Tk² 36 respectively.…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Since, it is…

Q: 1. Let X be a random variable with probability f(z) = { I= 1,2, 3, 10, elsewhere. Find the…

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find expected value and variance of X random variable whose distribution is as follows:. X 1 2 P(x)…

A: For a discrete random variable X, the expected value (or mean) of X, is a weighted average of the…

Q: Let X be a random variable with the following probability distribution. Question table Value of X…

A: Probability distribution is, x p(x) 1 0.10 2 0.60 3 0.15 4 0.10 5 0.05

Q: Calculate the mean and standard deviation of the discrete probability distribution. T 0 P(x) 0.15 5…

A: According to the given information in this question We need to find mean and standard deviation

Q: Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain…

A: We let X be the number of occupants in a randomly chosen car on a certain stretch of highway during…

Q: For the following probability distribution: x f(x) 0 0.01 1 0.02 2 0.10 3 0.20…

Q: wo discrete independent random variables X and Y are such that X can take values 2,3,5 and Y can…

A: It is given that Two variables X and Y are independent then P(X = x, Y = y) = P(X = x).P(Y = y)

Q: The following table provides a probability distribution for the random variable x. (a)Compute E(x),…

A: We have given the following probability distribution table x f(x) 8 0.25 16 0.50 24 0.25

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

Q: if the probability distrobution for the random variable X is given in the table what is the…

Q: B. Find the variance and standard deviation of each probability distributions. You may use the space…

A: From the provided information, 1) The probability distribution table is as follow: X 0 1 2…

Q: The random variables X and Y have joint probability distribution specified by the following table:…

A: The joint probability distribution of random variables X and Y is given…

Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: Q4: The probability mass function of a discrete random variable X is given by the following table: X…

A: Given: The probability mass function of a discrete random variable X is: X P(X) 1 136 2 336…

Q: H P(x)-s/4, what ore the possible vakues ot X tor it to be a probability distribution? etta What in…

Q: The number of ships to arrive at a harbor on any given day is a random variable represented by x.…

A: x1011121314P(x)0.310.150.10.120.32

Q: III. Mean, Variance and Standard Deviation of Discrete Random Variable bers (15-17). Determine the…

A: We have to find mean and Sd for given data. As per guideline expert have to answer one question…

Q: Example the p.d.f. Ax) = 2/x', 1 < x < ∞, zero elsewhere. The distribution function of X is Let the…

Question

100%

Let X be a random variable with the following probability distribution.

Value x of X	P (X = x)
4	0.25
5	0.10
6	0.20
7	0.35
8	0.05
9	0.05

Complete the following.

(a) Find the expectation

E(X) of X.

E(X) = ____

(b) Find the variance Var(X) of X.

Var(X) = ____

image attached bellow for better view

Let X be a random variable with the following probability distribution.
Value x of X P(X=x)
4
5
6
7
8
9
0.25
0.10
0.20
0.35
0.05
0.05
Complete the following. (If necessary, consult a list of formulas.)
(a) Find the expectation E (X) of X.
E (X) = [
(b) Find the variance Var(X) of X.
Var (X) =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
5/1/24, 11:52 PM A L Solve the problem. 17) The accompanying table shows the probability distribution for x, the number that shows up 17) a loaded die is rolled. Find the variance for the probability distribution. x P(x) 1 0.10 2 0.22 3 0.16 4 0.10 5 0.17 6 0.25
Find the mean and standard deviation for the probability distribution x P(x) 0.05 1.18 2.29 3.26 4.15 5.04 6.02 7.01 8.00 (both two decimals like 3.58) mean u = std. dev. o = 98F Mostly sunny
A random variable X has the following distribution: X P(X=x) -1 .3 0 1 .5 2 Let Y=X². Find the expected value of random variable Y. 0.38 0.6 5 4 O-1
engineering statistics.prpobability
A random variable X has the probability function as given in the table below. It is easy to verify that the expected value is 12. Find the variance of X X P(X) 6 .25 12 .50 18 .25
x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal places
variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarX
Q4: The probability mass function of a discrete random variable X is given by the following table: X 1 2 3 4 5 6 P(X) 1/36 3/36 5/36 7/36 9/36 11/36 Find 1- Cumulative distribution function. 2- Draw a graph of the probability mass function and cumulative distribution function. 3- Mean and variance. 4- Standard deviation.
Which of the given distributions represents a probability distribution? (i) X 1 2 3 4 O only (ii) O only (iii) O only (i) P(x) O (only (i) and (ii) 0.22 O Only (ii) and (iii) 0.36 0.29 0.16 (ii) X 5 6 7 8 P(x) 0.25 -0.22 0.41 0.12 (iii)
I. TRUE OR FALSE. Choose A if the statement is always true, otherwise choose B. 1. The sum of the probabilities of all values of the random variable must be equal to 1. 2. The capacity of water dams in a region is an example of continuous random variable. 3. The formula u = is used to compute for the mean of a probability distribution. IxF(x) 4. A standard normal curve is a normal probability distribution that has a mean of one and standard deviation of one 5. The width of the curve in normal distribution is determined by the mean of the distribution. 6. The mean of the sampling distribution of the sample means is less than the population mean. 7. The standard error of the mean is the standard deviation of the sampling distribution of the sample means. 8. The sampling variability of the sample means becomes smaller as the sample size n gets larger. 9. In estimating the mean, the degrees of freedom is equal to (n - 1) when using the t- distribution. 10. The t-distribution is asymmetric…
Find the mean, variance, and standard deviation of the following probability distribution by completing the tables below.