If n(A) =130, n(B) =135, and n(A ∪ B) =250, what is n(A ∩ B)?

Q: rmine f(x, y) = ſ k(2 − x)(1 − y) 0≤x≤ 2,0 ≤ y ≤ 1 0 elsewhere Marginal fx(x)

A: f(x,y)=k(2-x)(1-y); 0≤x≤2,0≤y≤1

Q: A die is rolled twice. What is the probability of showing a 5 on the first roll and an even number…

A:

Q: Suppose a cashier gives you a dollar coin in change. Because you have no reason to distrust this…

A: p(p(H)=θ)=Cθ50(1−θ)50dθWhere C=1∫01θ50(1−θ)50

Q: If 10 parts per million is the threshold for poor air quality, based on the sample above, with 90%…

A: If 10 parts per million is the threshold for poor air quality, based on the sample above, with 90%…

Q: The weight of IKEA furniture has a mean of 90 lbs and a standard deviation of 15 lbs. We randomly…

A: X~N(μ=90,σ=15), n=80

Q: young single person’s budget, $100 is spent on food, $140 is spent on housing, and $160 is spent on…

A: In a young single person’s budget, $100 is spent on food, $140 is spent on housing, and $160 is…

Q: A pair of tetrahedral dice are rolled (see Exercise 30.8). Let X be the sum of the two numbers and…

A: From the above given data the following solution is provided below:

Q: For each of the following, find the constant c such that f(x) satisfies the conditions of the PMF…

A: (a). f(x)= c(2/3) x ,   x=1,2, ....This is diverging on summing over x.Hence the question is wrong.

Q: Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8.…

A: The formula of z score when the data is normally distributed is given by                 Where, x =…

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A: Consider the given data:…

Q: A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval…

A: n=280x=63CI=90%

Q: umber of users who visit the site, regardless of the number of their visits) visit her site on…

A:

Q: G is defined as this fair spinner landing on a multiple of 4. H is defined as the spinner landing on…

A: G is defined as this fair spinner landing on a multiple of 4.H is defined as the spinner landing on…

Q: Problem 1 The University of Oklahoma has a renowned radar research program within the School of…

A: From the above given data the following solution is provided below:

Q: B3 s the particle speed, and A and B are positive constants. lity density function F(V). r of…

A:

Q: From a population with = 100 and o²= 400, we randomly sample one element (X) from this population.…

A:

Q: Find the area under the standard normal distribution curve to the right of  =z1.79. Use The Standard…

A: From the given information,We have to Find the area under the standard normal distribution curve to…

Q: Using The Chi-Square Distribution Table, find the values for x2left and x2right of the following.…

A: The provided information is as follows:The level of significance is .The sample size is .

Q: Overweight Men For a random sample of 70 overweight men, the mean of the number of pounds that they…

A: The sample size is 70, the sample mean is 29 and the population standard deviation is 4.3.

Q: uppose your favorite coffee machine offers 13 ounce cups of coffee. The actual amount of coffee put…

A: Let X be the amount of coffee put in the cup by the machine.Given X follows a normal distribution…

Q: Let Y, represent the ith normal population with unknown mean 4, and unknown variance of for i=1,2.…

A: Consider the independent random variables, of size  from the ith population with sample mean  and…

Q: (8) A continuous random variable T has p.d.f. defined as t f(t) = C. (2+1)² for t > 0 anf f(t) = 0…

A: Pdf is f(t)=ct1+t2; t>0

Q: A pharmaceutical company tested the impact of four cholesterol-reducing medications (denoted A, B, C…

A: Given the data of the amounts (in mg/dl) by which the LDL levels decreased after the three-month…

Q: Among the digits 1, 2, 3, 4, and 5 first one digit is chosen, then a second selection is made among…

A: Solution-:Amoung the digits 1,2,3,4 and 5 1st one digit is chosen, then a 2nd selection is made…

Q: Problem 2-11 (Algorithmic) Let A be an event that a person's primary method of transportation to and…

A: Let be an event that a person's primary method of transportation to and from work is an automobile…

Q: Say we are given a table representing the bivariate probability mass function f(X,Y) Find P(Y = 2|X…

A: Y=1Y=2Y=3X=101/83/8X=2001/4X=31/400

Q: 3 Decision trees. Draw the decision trees that correspond to the following descriptions and then…

A: Given the descriptions about two decision trees.

Q: A batch of one hundred items is inspected by testing four randomly selected items. If one of the…

A: Number of item =100Number of defective=5

Q: Given a random variable X with followi P(X = n) = {a(20-n) if 0≤ns otherwise Where a is a constant.…

A: Probability density function of X isP(X=n)=a(20−n)  , if 0≤n≤20Note: According to bartelby question…

Q: If A and B are independent and P(A)= P(B|A)= 1/2, what is P(A∪B)?

A: P(A)=P(B|A)=1/2If A and B are independent

Q: The mayor conducted a survey of 1000 residents, where 486 are in favor of proposal 1, 372 in favor…

A: Given that 486=number of residents in favor of proposal 1 372 = number of residents in favor of…

Q: Taita thrush is an endangered bird endemic to Kenya. Galbusera and colleagues genotyped Taita thrush…

A:

Q: If a universal set has 500 elements, n(a)= 240, n(AUB) = 400, n(An B) = 55, what is n(B')?

A: Total number of elements = n(U) = 500n(A) = 240n(A  B) = 400n(AB) = 55We have to find n(B').

Q: . Let: (a) 3 1n 2 (b) be a continuous random variable with density function. If the median of this…

A:

Q: Consider the following hypothetical survey results of 18- to 34-year-olds in a certain country, in…

A: Given data table is, YesNoTotalsWomen 94155249Men107144251Totals201299500Using formula, Probability…

Q: Example 2.17 Of the voters in a city, 40% are Republicans and 60% are Democrats. Among the…

A: Let R for RepublicansD for DemocratsB for Bond issue Given P(R)=40%, P(D)=60%, P(B|R)=70%,…

Q: If four six-sided die are rolled, how many ways are there to have 4 distinct digits if order matters…

A: Given that four six-sided die are rolled. The obtained four digits must be distinct.

Q: A study of selected crowdfunded projects showed that overall a majority were successful, achieving…

A: Category Successful Not Successful Total Film and…

Q: For the purposes of this problem, suppose that the Bingo master chooses numbers with replacement. a.…

A: BINGO4273255731525415875826059707223354621317434867

Q: Here is a table showing all 52 cards in a standard deck. Face cards Color Suit Ace Two Three Four…

A: The number of cards in deckThe total number of diamond cardThe total number of heartsThe total…

Q: A researcher is curious about the average IQ of registered voters in the state of Florida. If this…

A: We know that,The entire aggregation of items from which samples can be drawn is known as a…

Q: A state auto-inspection station has two inspection teams. Team 1 is lenient and passes all…

A: We have given thatP(passing) = 1/2P( rejection) = 1/2n = 4

Q: 1. The discrete random variable X has a probability mass function (0.1, x=-2,-1 B. x=0,1 x = 2…

A: The discrete random variable X has a probability mass function:Note: Hi there! Thanks for posting…

Q: Simplified stock market Suppose there are three kinds of days: GOOD, GREAT, and ROTTEN. The…

A: Consider the provided data: Type of DayFrequencyChange in ValueGood60%+2Great10%+5Rotten30%-4

Q: A B C Total X Y 447 466 222 1135 305 487 580 1372 What is P(B) rounded to 4 decimal places? Z 105…

A: It is required to find the probability of the event B, that is, .

Q: 1- Kurtosis of Normal distribution is 2- For a Poisson Distribution, if mean (u)= 1, then P(0) is--…

A:

Q: Kayla randomly chooses 5 dresses from a thrift shop containing 15 dresses. In this collection of 15…

A: n=5, 15 dresses, 9 have sleeves and 6 have no sleeves.

Q: as an order pair, (R, B) where R and B are numbers from the red and ly. Let X be a random variable…

A:

Q: Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 20%…

A: The failure rate is 20% for AP(F|A) = 0.20The failure rate is 10% for BP(F|B) = 0.10B is more…

Q: In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and…

A: The given transition matrix in this case is Non-smokersSmokers 1 pack per day or lessSmokers 1 pack…