The following table provides a probability distribution for the random variable x. x f(x) 3 0.25 6 0.50 9 0.25 (a) Compute E(x), the expected value of x. E(x) = (b) Compute ?2, the variance of x. ?2 = (c) Compute ?, the standard deviation of x. (Round your answer to two decimal places.)

The following table provides a probability distribution for the random variable x. x f(x) 3 0.25 6 0.50 9 0.25 (a) Compute E(x), the expected value of x. E(x) = (b) Compute ?2, the variance of x. ?2 = (c) Compute ?, the standard deviation of x. (Round your answer to two decimal places.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Below is an incomplete probability distribution for a random variable X. 1 2 3 4 5 6 |f(x) |f(x) |…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: Mean u = Ex P(X) = Variance o? = [Ex² P(X)] – µ² = Standard Deviation o = Is the estimation of math…

A: Here, x denotes number of students. Mean:…

Q: The record of a heart specialist shows that 75 % of the patients he operates survive. If on a…

A: Given: Prob. of patient will survive is, p=0.75 n=6

Q: F. A random variable X has the probability distribution as follows: 1 4 1 P(x) 10 9. 10 33. Find b.…

Q: The probability distribution of the discrete random variable X is given below. 3 5 3 -(u)()(%). 8 8…

A: The discrete random variable X is given as:

Q: 1. Solve for the mean, variance and standard deviation of the following probability distributions.…

A: A discrete random variable has a countable number of possible values with respective probabilities.…

Q: The following table lists the probability distribution for cash prizes in a lottery conducted at…

A: Given, X 0 10 100 500 P(X) 0.45 0.30 0.20 0.05 Mean = E(X)= summation(X*p(x)) Variance=…

Q: red Probability 0.12 Outcome orange 0.3 (a) Find P({green}). (b) Find P({orange, yellow}). (c) Find…

A: a) p(green) = 1 - P(red) - P(orange) - P(yellow) - P(blue) = 1 -…

Q: 3.The following table contains the probability distribution of the number of traffic accidents daily…

A: From the provided information, The probability distribution table is as follow: Number of…

Q: 2.3. The power output P in MW from a wind farm is a function P(w) = 3w² of the wind speed w in m/a.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Assume that women's heights are normally distributed with a mean given by μ = 63.5 in, and a…

Q: 18. Consider the following probability distribution for the random variable X. X= Ti P(X = x₂) .1 0…

A: Given that Probability distribution function. X=xi 0 1 2 3 P(X=xi) 0.1 0.3 0.4 0.2

Q: 1. Let x be the number of emergency root canal surgeries pefromed by Dr. Payne in a given week. The…

Q: {10.2} Suppose that events E and F are independent, P(E)=0.7, and P(F)=0.6. What is the P(E…

A: Given that P(E)=0.7, and P(F)=0.6 P(E and F)=P(E∩F) If E and F are independent. P(E∩F)=…

Q: 3.5 Determine the value c so that each of the follow- ing functions can serve as a probability…

A: We have given that the probability distribution of discrete random variable X. In discrete…

Q: The following is the probability distribution of the number of accidents in one day. X 7 8 9. 10 11…

Q: X P(x) 0 0.32 1 0.31 2 0.20 3 0.17 a) Find the mean of the probability distribution above. b) Find…

A: Given that Probability distribution. X 0 1 2 3 P(x) 0.32 0.31 0.20 0.17

Q: 3. A random variable x has this probability distribution: X 1 2 3 4 5 P(x) .1 .3 .4 .1 ? .05 a. Find…

A: We have given probability mass function of X and we have to find out the probability and mean,SD of…

Q: E. Exercises ( Geometric Probability Distribution) 1. An oil company has determined that the…

A: Given data An oil company has determined that the probability of finding oil at particular drilling…

Q: x. f(x) 3. .25 6. .5 9. .25 Compute E(x), theta squared to 1 decimal,…

A: The probability distribution for random variable is: x f(x) 3 0.25 6 0.5 9…

Q: Question 2 et Y~ B(n = 2,p=0.5). 1. Construct the probability distribution table for Y. k P(Y = k) =…

A: Given that Y~binomial (n,p) n=2 , p=0.5

Q: 3.49 Let X denote the number of times a certain nu- merical control machine will malfunction: 1, 2,…

A: Given, f(x,y) x 1 2 3 y 1 0.05 0.05 0.1 3 0.05 0.1 0.35 5 0 0.2 0.1

Q: L10Q1.The probability distribution of a random variable is given below. X 0 1 2 P(X) 2 a a 3 a Find…

A: X 0 1 2 P(X) 2 a a 3 a

Q: 6. A discrete random variable can assume 5 possible values, as listed in the accompanying…

Q: Q18: Studies have shown that X, the number of refrigerators sold per week has the following…

Q: ility Distribution for Number of Girls x P(x) 0.004 1 0.013 2 0.102 0.212 4 0.338 0.212 0.102 7…

A: According to guidelines we solve first three subparts only when we have given multiple subparts.

Q: a. P( x< 50) b. P( 35 <x< 47) c. P(x 55)

A: Given: X is normally distributed with μ=40, σ=4

Q: 1. Р(3) 2. Р(1) + P(4) 3. Р(х > 2)

Q: The random variable x represents the number of credit cards that adults have along with the…

A: Given data is x P(x) 0 0.07 1 0.68 2 0.21 3 0.03 4 0.01

Q: 14:13. Four fair coins are tossed. X is the number of heads that occur. (1) Find the probability…

A: Discrete Random Variable: A discreate random variable is a variable whose values can be obtained by…

Q: For the discrete random variable X, let P(X = 1) = 0.2, P(X = 2) = 0.3, and P(X = 3) = 0.3, P(X = 4)…

A: I solved first 3 subpart because of bartleby policy i solved exactly 3 subpart if you want more…

Q: Question 4 946 red firs 217 A buyer must decide whether or not to accept a shipment of 40 parts. The…

A: Solution-: Given: N=40,M=5, n=6 Our aim to find, (a) P(accept shipment no defective parts are…

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: (1 point) Suppose a is a normally distributed random variable with u = 9.2 ando = 1.5. Find each of…

A: According to bartleby policy I have solved first three subparts of this question. I hope it will…

Q: 2. The ages (to the nearest year) of students enrolled in a specific data analysis class have a…

A: Answer: - Given, Cumulative probability distribution function x 17 18 19 20 21 22 23 F(x) 0…

Q: 3. Consider a Exponential Distribution with parameter of 0.0025 i.e. Exp(0.0025) B. Compute the…

A: Given X~exp(parameter=0.0025)

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 time for travelling by car between two cities is normally distributed with mean u = 20 minutes…

Q: 3. Given the following discrete probability distribution, x P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

Q: 8. A television station sells advertising in 15-, 30-, 60-, 90-, and 120-second blocks. The…

A: Given that: Probability distribution table of X: Length (in seconds), X Probability, P(X) 15…

Question

7. The following table provides a probability distribution for the random variable x.

x	f(x)
3	0.25
6	0.50
9	0.25

(a)

Compute

E(x),

the expected value of x.

E(x) =

(b)

Compute ?², the variance of x.

?² =

(c)

Compute ?, the standard deviation of x. (Round your answer to two decimal places.)

? =

Video Video

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

If the following table represent a probability distribution with an expected value of 9. P(x) 2a 4a Ха 7 8a 10a 11 12a 13 14a Find the followings: A. unknowns' x and a. b. Standard deviation. c. P (x<5 Ux29). |
16. A study of freely forming groups in cafes throughout Europe examined the number of individuals found in groups that were laughing together. Let X be the number of individuals in laughing groups. Here is the probability model for X: Number of individuals X 3 4 6. Probability 0.34 0.1 0.04 0.01 Which of the following statements is true? X is a continuous random variable w = 0.51 P(X > 3) = 0.15 I. II. II. A. I, II В. I С. П, Ш D. I, II, III a populati Is calle A. statis C. stat tical ap raIMH 18. re Normally distribut ee and a standard deviation of 2 inches. If 25 strawberry niaus Mim
please give me a justification on why youchose that answer
Consider the probability distribution for number of children in local families. x P(x) 0 0.03 1 0.11 2 0.36 3 0.33 4 0.17 Find the mean number of children in local families ["", "", "", "", ""] Find the standard deviation of the number of children in local families ["", "", "", "", ""] Would 4 children be considered a significantly high number of children? ["", "", "", "", ""]
1. A random variable x has the probability distribution as follows: 1. 2 3. 4 P(x) 1/15 k/15 k/5 4/15 k/15 a. Find k. b. Construct a probability histogram to descibe P(x).
МАТH1208 QUESTION 2 А. The table below shows the probability distribution of the likelihood of the number of SUVS in a household in Forest Hill, St Andrew. Number of 2 3 SUVS (x) P(X = x) 0.05 0.12 0.60 0.20 Find: i. The value of 'c' ( the probability of 4 SUVS in a household) ii. The expected value [E(X) ], the mean value of SUVS in a household iii. The variance iv. standard deviation of SUVS in a household
statistic
Need help with this question. Thank you :)
12. The following table lists the probability distribution for cash prizes in a lottery conducted at Lawson's Department Store. Compute the mean, variance and standard deviation of this distribution? X P(X) 0 |0.45 10 0.30 100 0.20 500 0.05
Kk.340.