If X and Y are independent Poisson random variables with E​[X] = 3 and E​[Y] = 2, what is P​[ X = 2 | X + Y = 4 ]?

Q: Data are distributed according to a probability density function f(x) = 1.52 (15) with domain of z…

A: The probability density function is given by f(x)=11.5(2π)e-12x(-0.95)21.5

Q: A pair of dice is rolled. Find the probability of rolling a sum not more than 10, b) a sum not less…

A: A pair of dice is rolled. Then its sample space is written as: Ω=1,1, 1,2, 1,3, 1,4, 1,5, 1,6,2,1,…

Q: ibution between 0 and 23 seconds. L.e. any smiling time from 0 23 seconds For this problem, we will…

A: (a) Since the smiling times of an eight-week old baby follow a uniform distribution…

Q: type of lase inspection equipment was investigated. Assume t standard deviation of the number of…

A: Let's first define our hypotheses:  Null hypothesis: H0: µ = 9.5 (the true mean number of solder…

Q: Given the probability distribution function P(x) = 10-3x where x = -2,-1,0, 1, and 2, construct a…

A: p(x)=(10-3x)/50; x=-2,-1,0,1,2

Q: onent per day. Each repairman successfully fixes the component with probability 70% regardless of…

A: This problem can be modeled as a Markov chain with 6 states. The states are represented by the…

Q: Twenty-one percent of people say they've seen a ghost or felt its presence. If 13 people are asked,…

A: Answer:- Given, Twenty-one percent of people say they've seen a ghost or felt its presence. That is,…

Q: According to an airline, a particular flight is on time 88% of the time. Suppose 43 flights are…

A: given data, p(flight on time)=0.88p=0.88q=1-p=1-0.88=0.12x= flight are  on timen=43

Q: a. The probability is 0.05 that the sample variance is bigger than what percentage of the population…

A: A production process manufactures electronic components with timing signals whose duration follows a…

Q: The manager of a hotel chain is interested in knowing whether there is a relationship between the…

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

Q: 4 The collection of all rivers in India. 5. The collection of all active teachers in the school. 6.…

A: A set is a collection of well defined elements, where an element is an object/unit included in a…

Q: Suppose that a family has 6 children. Also, suppose that the probability of having a boy (based on…

A: given data, n= 6p(boy)=P(girl)=12x= no. of boys in familyP(x≥5) = ?

Q: A non-normally distributed population has a mean of μ=40μ and a standard deviation of σ=9σ For…

A: given data normal distributionμ = 40σ = 9

Q: Let N be the number of insurance claims per year, and N is following a Poisson distribution, with a…

A: The equation to calculate the probability P(N > 10200) can be written as: P(N > 10200) = 1 -…

Q: Assume that out of a population of 1871 people, 30% of the population has a particular genetic…

A: From the provided information, Population size (n) = 1871 30% of the population has a particular…

Q: In the card game Hearts, each of the cards from the heart suit is worth 1 point. (There are 13 such…

A: The probability of drawing a heart card is 13/52 = 1/4, since there are 13 heart cards in a standard…

Q: 55. Given this joint pmf, (a) Find the conditional distribution of X given Y = 0, fx|y=0(x) = P(X =…

A:

Q: 4. Suppose we roll eight fair D6 and sum the pips. What is the probability that the sum is 19 given…

A: In probability theory, conditional probability is the probability of an event A occurring given that…

Q: An experiment consists of two trials. The outcomes of independent the first trial are A, B, and C,…

A: Given information: An experiment consists of two independent trials. The outcomes of the first trial…

Q: Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume…

A:

Q: a. What is the probability that, in five free throw attempts, the basketball player makes exactly…

A: Here given,  A famous basketball player makes 75% of his free throws. Assume free throw attempts are…

Q: submerged in deep water close to the bank, then would rush into shallow water and grab the birds…

A: To determine whether the observed data matches either Student A or Student B's hypothesis, we need…

Q: bag contains 1 gold marble, 8 silver marbles, and 22 black marbles. someone offers to play this…

A: Before playing :  It should be known expected value ( it represents profit )  Expected value  :…

Q: It is thought that the front cover and the nature of the first question on mail surveys influence…

A: For plain cover: X1=103 Sample size=(n1)=312 For skydiver cover: X2=107 Sample size=(n2)=319

Q: Two dice are rolled. Find the probability of getting doubles or a sum of 2. 02 9 7 36 4 16

A: roll two dice.  P(getting doubles or a sum of 2) = ?  P(event) = no. of favorable outcomestotal…

Q: what is the probability that an image identified as containing the object by the model actually…

A: As per GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING.  Here given,…

Q: Hits at a website arrive at an average rate of 70 hits per hour according to a Poisson process. Let…

A: The random variables X is the number of hits observed during a randomly selected hour. The hits at a…

Q: The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The…

A: Answer  Given  X      Y        X*Y       X^2          Y^2  5      9         45        25…

Q: Ocular motor measurements are designed to assess the amount of contraction in the muscles around the…

A: The random sample of size, n=10 The available data is, Book (X) Computer (Y) Difference zi=X-Y…

Q: A random variable X was observed over a period of time with the results shown in the following…

A: X Observed frequencies   0 10   1 6   2 6   3 5   4 1   5 0   6 1   7 1 Sum…

Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: The probabilities associated with the given question are as follows: If it is sunny on one day, it…

Q: Consider the bi-variate uniform distribution given by the joint pdf f(x, y) = (2x +2y — 4xy)…

A: To find the marginal distributions, we need to integrate the joint pdf over the range of the other…

Q: Let the discrete random variable X represent the number of good components in the sample. The…

A: The random variable X is the number of good components in the sample The probability distribution is…

Q: Note. Do not use commas required. a. How many ways can 6 singers be chosen for a choir from the 12…

A: No. of ways to select n members from N members = NCn  = N!/(n! * (N-n)!)  Here N! = N*(N-1)*...1…

Q: A safety light is designed so that the times between flashes are normally distributed with a mean of…

A: normal distribution μ = 4σ = 0.60

Q: Girl - 3400, 900, 2600 4300 2800, 1800, 300 4000 3400, 3100, 3100 Boy - 3800, 2600, 3400 3800…

A:

Q: In the country of United States of Heightlandia, the height measurements of ten-year-old children…

A: From the provided information, Mean (µ) = 54.6 Standard deviation (σ) = 3.2 X~N (54.6, 3.2)

Q: what is the expected fair price to pay for a ticket?

A: In an lottery there are 200 prizes of sh.5, 20 prizes of sh.25, and 5 prizes of sh.100. Assuming…

Q: A random variable has CDF given A i = 0, 1, 2 F₁ = = {₁ 1=3² 1 i if A = 0.56, then what is p₂?

A: We are given that the cumulative distribution function (CDF) F of a random variable X takes the…

Q: Consider a random sample X₁, X2,..., Xn from the pdf f(x) = (1+0x) -1≤x≤1 where -1 ≤ 0 <1 (this…

A: f(x)=1/2(1+θx); -1≤x≤1

Q: A bench with 28 seats has 28 people who wish to sit on it. a. In how many ways can these people sit…

A: GivenThe total number of seats on the bench =28 The total number of people who wish to sit on it =28…

Q: [=/ N [(ºn +‚x'n) — ‚^]3 ÷ = (x[°m^'n) a -

A: Given:

Q: 4. The LA times printed the headline "Most California Voters Support Legalizing That headline was…

A: To construct a 95% confidence interval estimate for the percentage of Californians who support…

Q: Jane's accounting department hires CPA's from three states. The head of accounting gives Jane the…

A: State Probability Probability with 150-hr credit    HI 0.1 0.42 VA 0.3 0.38 NC 0.6  0.85

Q: f(x, y) = axyI(0,1) (x)I(0,²) (y) 59. Given this joint pdf, (a) Find the value of a that makes this…

A: a) Since the function f(x,y) is the joint pdf so  ∫01∫0x2f(x,y)dydx =1⇒∫01∫0x2α xydydx…

Q: A fitness center is interested in finding a 98% confidence interval for the mean number of days per…

A: Sample size =213 Sample mean =3.3  Sample standard deviation =2.7  We have to find a..what…

Q: A chef is choosing from 11 different entrees for an important banquet, 4 of which contain spinach.…

A: There are a total of 11 different entrees and 4 of which contain spinach.  No of entrees(Total)=11…

Q: to The flow in a river can be modeled as a log-normal distribution. From the data, it was estimated…

A: Given the probability that the flow exceeds 869 cfs is 50% and the probability that it exceeds 100…

Q: 1. Fifty six percent of men do not look forward to going clothes shopping for themselves. You…

A: p =56%    =56/100     =0.56 Sample size n= 8 ________________________________ Question:2 P = 63% =…

Q: We consider the model: hours = β0 + β1lockdown + β2kids + β3lockdown∗kids + u Which of the…

A: We consider the model:   hours = β0 + β1lockdown + β2kids + β3lockdown∗kids + u   Which of the…