(7) Suppose that X₁ and X₂ are two random variables with j.m.g. f. 2 (t₁ - 1)(t₂-1) + (t₂ − 1)² ' MX₁X₂ (t) then var (X₁) is 1/2. От O F =

Q: 6 (a) Calculate 40% of 250. (b) Calculate 130% of 79. (c) 85 is what percentage of 140? (d) 62 is…

A: We need to calculate: 6 (a) Calculate 40% of 250. (b) Calculate 130% of 79. (c) 85 is what…

Q: pls include d&e

A:

Q: A marble is selected at random from a jar containing 5 red marbles, 6 yellow marbles, and 3 green…

A: From the provided information, The jar contains 5 red marbles, 6 yellow marbles and 3 green marbles.…

Q: A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the…

A:

Q: 1 2 3 0.05x+0.3 dx = = 2.125 Verify that the total area under the density curve is indeed 1. Lo 11 5…

A: f(x) = ∫350.05x+0.3 dx f(x) = 0.05x+0.3   ;3≤x≤50                     ; otherwise

Q: This technique is used when the population is divided into groups or areas and an entire group or…

A: In this question property of a type of sampling technique is given. It says that this technique is…

Q: An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of…

A:

Q: discuss risk measurement for investments. Block and Hirt present an investment with the possible…

A: The Expected value given as follows:  μ = ∑ x * p(x)      = (300)(0.2) + (600)(0.6) + (900)(0.2)…

Q: Dad’s music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: Given that  Total music albums = n = 5 + 3 + 1 = 9 Rock music albums = 5 Classical music albums = 3…

Q: Question 5 You have R110 million cash on hand. You are deciding whether to build a restaurant for…

A: Decision tree is a tree like structure which acts like a flowchart. It helps to solve classification…

Q: (7) The median of the random variable X whose probability density function 3 √x-x²,0<x<2 4 , 0. W.…

A: Let X be the random variable having probability density function f(y) then,  We have to check the…

Q: 10 The variable X has a uniform distribution on the interval (-2,3) then E(X)= b.25/12 c. 28/12 d.…

A:

Q: Assume E(X) = μ and V(X) = 2. Write a general rule for E(X- c) where c is a constant. E(X - c) =…

A:

Q: (8) A company produces X bulbs per day. If E(X)= 1000 and var (X) = 100, then P(900 < X < 1100) is…

A: Given information: EX=1000VarX=100

Q: (8) Let X-b(n, p), with E(X) = 6 and var(X) = 4.2, then P(X ≤ 6) = 0.608.

A: here given , E(X) = 6 var(X) = 4.2 for Binomial Distribution  mean = E(X) = np and Variance  = npq

Q: In a game, if after tossing a coin the outcome is head, you have to toss it again. If the outcome is…

A:

Q: How Probability and decision analysis can help us benefit in our future

A: In each and every field - " Probability and decision analysis can benefit us

Q: The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with…

A: Given: Population mean = 32 Population standard deviation = 7.7

Q: 8. An English Christmas carol entitled "The Twelve Days of Christmas" enumerates a series of…

A:

Q: a. Find the probability that x² > 15. 0.75 b. Calculate the expected value ex of X 4.65 c. Calculate…

A: We have to find R code for given problem :

Q: Let X be a discrete random variable that takes on the values 2, 3, 4, 5, 6, 7 with respective…

A: X 2 3 4 5 6 7 P(x) 0.15 0.10 0.20 0.20 0.20 0.15

Q: 1. A royal flush is the most powerful poker hand. It consists of the five highest cards in a single…

A: royal flush: Ace, King, Queen, Jack, and 10 of a same suit there are 4 suits in 52 card deck so…

Q: Data collected at an airport suggests that an exponential distribution with mean value 2.675 hours…

A:

Q: List as many phrases as you can that describe the chance or probability of an event happening. Then,…

A: We have to list some phrases which describe chance or probability of an event happening.    Also…

Q: Please answer P(Z < - 1.12) and What life in hours does 75% of the lasers exceed.  thank you!

A: Given that  Mean = 7000 Standard deviation = 600 X ~ Normal (Mean=7000, Standard deviation=600)

Q: b. 0.7 c. 0.9 XX<3.4)= 7. If the random variable X has a chi-square distribution with degrees of…

A:

Q: Then P (X + Y ≤ 1|x ≤) is:

A:

Q: Having the text (A A A BAC BCCBBAAADB B B C D). Find The information content in (C)

A:

Q: I want to make a password using 3 consonants followed by 3 vowels. Given that I do not want…

A: Here Given , password made using 3 consonant followed by 3 vowels. There are total 26 alphabets , of…

Q: (d) Compute the marginal pmf of X. 0 Px(x) Compute the marginal pmf of Y. y Py(y) 0 1 1 Using px(x),…

A:

Q: ability that at least one of the events occur is mutually independent events and that P(A) = 0.3,…

A: It is given that  Red balls = 3 Black balls = 5 Total balls = 8

Q: Among the information below, determine if either discrete and continuous random variables. ▪ Total…

A: Here we have given the question, we have to identify the given variables is discrete or continuous…

Q: The results of 3 tosses of a coin, is presented in the sample space, S = (HHH, HHT, HTH, THH, HTT,…

A: Ans#- The result of 3 tosses of a coin is given           Sample space S = {HHH, HHT, HTH, THH, TTH,…

Q: (5) If i is recurrent state, and i → j, then j is also recurrent state. От OF

A: According to the given information in this question We need to identify the correct option

Q: What is the standard deviation of a binomial distribution with 50 trials and p = 0.4?

A:

Q: Exercise 2.9.8. [S][Section 2.1][Goal 2.1][Goal 2.5] Counting red blood cells. On page 240 of the…

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

Q: Use the basic probability principle to solve the following problem. Express each probability as a…

A: Given that  A 12 sided die is rolled  Sample space = S = ( 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 ,10 ,11 ,12 )…

Q: Let X- the time between two successive arrivals at the drive-up window of a local bank. If X has an…

A:

Q: Ice Cream Sundaes 1. How many three-scoop sundae possibilities would there be if we chose out of 8…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted  Given that…

Q: randomly. Find the probability that you will answer exactly 60% of the items correct to pass the…

A: Let p be the probability of getting the correct answer. Then p = 1/4 = 0.25 as there is only one…

Q: A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9…

A: Given that

Q: (d)    P(A1 ∩ A2 ∩ A3 | A1 ∪ A2 ∪ A3)

A: First 3 parts has already been answered i have to solve part(d) only of this queue in We have to…

Q: Leo used an analog sensor to measure the temperature of his solar panels. After the experiment, he…

A: Given information: Problem: To process the gathered data of Temperature of solar panel by using…

Q: for the binary system if the entropy =0.9710, so the probabilities are:

A:

Q: What is the probability of event (A) will be less than #4? What is the probability of event (B) to…

A: Here we are given a game of coin tossing. In this game if the first flip is A then we will roll the…

Q: An experiment consists of drawing a gum ball until a pink gumball is obtained. What is the sample…

A: The sample space is a set of possible outcomes.  Given that there are 5 colour balls in a gumball…

Q: (a) What is the probability of George making a profit? (b) Sally finds out that George made a…

A:

Q: Out of the letters P, Q, R, x, y and z, the arrangements can be made beginning and ending with a…

A: Given information: Total no. of letters=6Total no. of Capital letters=3(P,Q,R)Total no. of small…

Q: A bank teller serves customers standing in line. Based on prior data, the average service time per…

A: Given that mean =4 ,standard deviation = 1.2 ,n =40

Q: The population of children under 5 years in Whitefish, Montana on July 1 2015 was 2,350 with no…

A: