The average number of cars arriving at a drive-thru fast food restaurant is 3 in ten minutes, what is the probability that exactly 4 cars will arrive in a five minute interval?

Q: solve the following

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Q: What is the probability that a set of n ≥ 2 has two permutations that are the reverse of one…

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Q: a) Suppose that the joint density function of two random variables W₁ and W₂ is given by f(w₁, ₂) =…

A: Farmula used If X and Y are independent f(x,y)=f(x)f(y) Cov(X,Y)=E(XY)-E(X)E(Y)

Q: Derive the mean and the variance of Bernoulli distribution, Normal distribution, and discrete…

A: The mean and variance of the Bernoulli , Normal and Discrete uniform distribution are following.

Q: Use the values on the number line to find the sampling error. 4 The sampling error is x=4.5 4.6 4.8…

A: Given: x¯ = 4.5 μ = 5.22

Q: > A box contains 7 white balls, 9 black balls, and 2 red balls. a) How many red balls must be added…

A:

Q: The data set of ages (in years) of 25 employees of a company is given below. 37, 38, 38, 38, 40, 41,…

A: Given that, class width = 5 Minimum value = 37 Maximum value = 63 The frequency distribution table…

Q: responding z-scores. If convenient, use technology to find the z-score. P18 ck to view page 1 of the…

A: Given that.   X~N( μ , ?^2 )   μ=0     , ?=1   Z-score =( x - μ )/?

Q: Answer the following percent problems. Round answers to one decimal place. 15% of what number is 63?…

A: 1)15% of what number is 63=630.15=420Therefore 15% of 420 is 63

Q: Question-2 a. The life of a power transmission tower is exponentially distributed with mean life 25…

A: 2 a. The provided information is  Let X be the random variable denotes the life of a power of…

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A:

Q: In the game of "Between," two cards are dealt from a standard deck and not replaced. You then pick a…

A: Event is the happening of an favorable situation. Event includes all the possible observation of the…

Q: If A and B are mutually exclusive, and if P(A) = 0.4 and P(B) = 0.2, what is P(AUB)? P(AUB)= ***

A: Given data,P(A)=0.4P(B)=0.2P(A∪B)=?

Q: State whether the standardized test statistic z indicates that you should reject the null…

A: Given graph is

Q: Find the probability: You land on a red space when playing roulette. There are 18 red spaces, 18…

A: To find: The probability that You land on a red space.

Q: A bag of 40 marbles contains 17 marbles with red on them, 13 with blue on them 15 with green on…

A:

Q: Question 8 The probability of occurrence of at least one of two events is the sum of the probability…

A: It is given that the statement about to the basic probability theory. Here, need to find out that…

Q: bability is

A: Given Mean=6 minutes

Q: The average number of field mice per acre in a 6-acre wheat field is estimated to be 11. (a) Find…

A: We have givenλ = 11X ~ Poisson (λ) => X ~ Poisson (11) Formula: P(X = x ) = e-λλx/x!

Q: Find the margin of error for the given values of c, d, and n. c=0.90, a=3.6, n = 100 Click the icon…

A: Givenc=0.90standard deviation(σ)=3.6sample size(n)=100

Q: Use the given statement to represent a claim. Write its complement and state which is Ho and which…

A: From the provided information, The statement of the hypothesis is as follow: µ ≤ 500

Q: A linear regression model has been estimated for the variables Y="monthly consumption of veal (kg)",…

A: The provided information is  Y=monthly consumption of veal (kg) X1=monthly monetary household income…

Q: A Statistics class consists of 16 boys and 14 girls. If each month is chosen at random a student to…

A: Given:16 boys14 girlsTotal n=30

Q: Four people, A, B, C and D, are equally qualified runners. They run a 500-meter sprint, and the…

A: Given, Four people who are equally qualified runners.we need to find the probability that A comes…

Q: Example: the joint density for the random variables (X,Y), where X is the unit temperature change…

A: Solution:

Q: If A and B are mutually exclusive, and if P(A) = 0.4 and P(B) = 0.2, what is P(AUB)? P(AUB)= ***

A: GivenA and B are mutually exclusiveP(A)=0.4P(B)=0.2

Q: f(x, y) = 24 0, ≤ y ≤ 4 otherwise

A: f(x,y) = 124(6-x-y) 0≤x≤2, 0≤y≤40    OW Marginal Density Functionfx(x) = ∫xf(x,y) dyfy(y) = ∫yf(x,y)…

Q: The distribution of the number of hours that a random sample of people spend doing chores per week…

A: To find: 1.Sample mean 2. Sample standard deviation

Q: When you knit something using a pattern, each line a Depending on the weight of the yarn you want to…

A: Weight Inches per Stitch Fingering 1 In. DK 1.5 In. Worsted 1.8 In. Bulky1 2.5 In.…

Q: (a) The probability that fewer than 7 field mice are found on a given acre is (Round to four decimal…

A: It is given that the mean is 12.

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…

A:

Q: The probability density function (p.d.f) of the random variable X is given by i) ii) iii) = f(x) =…

A:

Q: For the statement below, write the claim as a mathematical statement. State the null and alternative…

A: GivenThe standard deviation of the base price of a certain type of all-terrainvehicle is atleast…

Q: Using empirical probability, suppose you tossed a fair coin 450 times and noted that it landed on…

A: From the provided information, Total number of times a fair coin is tossed = 450 It is noted that it…

Q: dental insurance go in for regular check-ups. What percent of Americans overall will go in for a…

A: Here define events  See the dentist for regular check up = R  Person have dental insurance  = D

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: e. Here,we are find P(X=1|Y=1)=P(X=1∩Y=1)P(Y=1), FROM TABLE P(X=1∩Y=1)=0.1 AND…

Q: is joint pdf with x,y=1,2,3,...,n then V(x/y) is

A:

Q: Suppose your school costs for this term were $8900 and financial aid covered 75% of that amount. How…

A: It is given that financial aid covered 75% of the amount of 8900.

Q: A manufacturing company uses an acceptance scheme on items from a production line before they are…

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Q: 5. Let (S2, A, Pr) be an abstract probability space, and let A, B be events. Prove that Pr(B|A) +…

A:

Q: A sleeping bag is on sale for $16.78 and has been discounted 40%. What was the original the sleeping…

A: Let the original price of bag is $x Discount =40% of original price =40% * x =0.40x

Q: What is the range of all integers greater than 40 and less than 99 that are multiples of 3

A: To find : The range of all integers greater than 40 and less than 99 that are multiples of 3

Q: The random variables X and Y are independent to each other. The probability density functions of X,…

A: Given the pdf of two independent random variables X and Y as fXx=2x, 0<x<1 fYy=1, 0<y<1

Q: In a hospital you are doing a study of queues in the medicine withdrawal area. By analyzing the…

A: Given data: Average rate = 36 people per hour To find: The probability that more than 6 people…

Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A: f(x,y)     y=1   y=2     y=3    Total       x=1   0.10  0.05    0.02   0.17…

Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store…

A: Given: A lumber claims that at least 10% of its new customers will return to buy their next order of…

Q: esearchers at a reputable university and a reputable health organization claim that approximately…

A: Given Information: Proportion p=0.74 Number of trials n=80

Q: The state test scores for 12 randomly selected high school seniors are shown on the right. Complete…

A: Given data is1420,700,724,622,1227,727,748,1445,980,833,540,943sample size(n)=12

Q: Q5:A: The following data represent the quantities sold x,and prices y; for a commodity, find a…

A:

Q: MindForce also collected the data regarding errors/nonconformities in orders placed due to system…

A: Given:Number of samples(k)=10Sample size (n)=200Find:Implement of p-chart for errors.