Question 1: Set theory J Suppose that in a random experiment you observe the number of computers connected to internet at a particular university at a certain time of a given day. Let A = {0, 10, 20, 30), B = {30, 50, 60), C = {30, 40}. Find An BnC

Q: Problem 4. In a generalization of the birthday problem, consider a box of N tickets. You sample n…

A: Solution:

Q: a refrigerator there are 19 bottles of diet soda, 5 bottles of regular soda, and 2 bottles of water.…

A: Given data, Diet soda =19 Regular soda=5 Water=2 Total bottles=26

Q: instead you are told the interest rebate is only $23.40. What happened? Look at the fine print on…

A:

Q: A hamburger franchise is owned by three people. One person owns 7/12 of the franchise and the second…

A: Given that  A hamburger franchise is owned by three people One person owns =7/12 The person owns  =…

Q: A thrifty hospital administrator purchased 2 refurbished back-up generators to power the hospital in…

A: Given,P(1st generator  reliability rate)=0.77P(2nd generator  reliability rate)=0.87and two…

Q: The probability that Aiko can drive to work without having to stop at a red light is 0.125. The odds…

A: Given that  The probability that Aiko can drive to work without having to stop at a red light is…

Q: Let X be a continuous random variable whose probability density function is: x ≥ 1 0, x < 1 Then…

A: Answers: 0.75   1

Q: 49 A B C D E F A -- B 9 с DE F 38 16 19 37 22 13 44 15 5 24 28 33 7 43 -- 9 38 22 16 13 5 19 44 24…

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Q: What does a 95% confidence interval actually mean? O There is a 95% percent chance the population…

A: Solution-: What does a 95% C.I. actually mean? (a) There is a 95% chance the population mean is…

Q: Write each rate as a fraction in lowest terms 20 feet in 35 seconds feet/sec

A: It is given that  20 feet in 35 seconds.

Q: The coordinates of a random point in the plane obey the normal distribution law f(x, y) = 1 2πσισ,V1…

A:

Q: On a hiking trip, the ratio of the number of children to the number of adults is 3 to 5. Which of…

A:

Q: Find the probability that a person flipping a coin gets (a) the seventh head on the twelfth flip,…

A: Formula used :cnx px qn-x Binomial distribution is a discrete probability distribution the binomial…

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: The number of customers arriving per hour at a certain automobile service facility is assumed to…

A:

Q: The population mean and standard deviation are given below. Find the required probability and…

A: Given,mean(μ)=23standard deviation (σ)=1.15sample size(n)=61

Q: Continuou (x, y) = e

A: Given as, (x,y)=e-x     0≤y≤x≤∞

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

A: Solution Marginal pmf of X f(x) =P(X=x)=xΣf(x,y) From joint pmf table P(X=1)=f(1, 1) +f(1, 2)+f(1,…

Q: able Y is the sum of the life expectancy of t of Y. (Write specifically what distribution it n,…

A: Take x1,x2...,x10 be the life span of parts including gamma.

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: Let X₁ and X₂ be two independent random variables with normal distributions N(1,9) and N(-3,16),…

A:

Q: Find the probability that a person flipping a coin gets (a) the fourth tail on the seventh flip, and…

A: Given,  Task is flipping a coin and we have to find the probability of getting fourth tail on the…

Q: An insurance company pays claims for bills from a physical therapist as follows: They take the…

A: Given  Actual bill is reduced by 10% Percentage paid of the remaining amount =35%

Q: Let U, V be two uniform independent random variables on [0, 2]. (a) Given U = 1, find the…

A:

Q: The graph shows the amount of profit, in millions of dollars, for a large company in Seattle. The…

A: In 2011, the amount of profit was 10 million dollars. In 2012, the profit was 9 million dollars. The…

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

A:

Q: Find the value of E, the margin of error, for c= 0.95, n = 10 and s= 3.9. ents A. 2.261 0 OB. 2.79…

A:

Q: For the Bayside Fountain Hotel problem, what would your Excel file that shows an exponentially…

A: Given: α=0.2 ß=0.2 Find: 1)Exponential smoothing 2)Adjusted exponential smoothing

Q: You are given 5 to 1 odds against tossing three tails with three coins, meaning you win $5 if you…

A: Given data you are given 5 to 1 odds against tossing three tails with three coins you win $5 if you…

Q: College students were asked, "How often do you wear a seat belt when riding in a car driven by…

A: Given data: Response Frequency Never 106 Rarely 332 Sometimes 592 Most of the time 1215…

Q: i) What is the moment generating function of the sample mean? ii) What will be the mean of the…

A: It is given that Sample size n = 10 And Xi , i = 1, 2,.......10 follows N(0,1)

Q: Provide a reasonable description of the sample space for each of the random experiments. There can…

A: The objective is to provide a description of the sample space for each of the given experiments. A…

Q: At a certain gas station, 65% of the customers use regular gas, and all the other customers use…

A: Given Information: 65% of the customers use regular gas. Of those only 30% fill their tank.…

Q: dence inter should reject Ho. Explain your reasoning. 0.54 right represent three samplings. Decide…

A: Solution Given That The three confidence intervals to the right represent three samplings. Decide…

Q: they

A: Euler Path is the one which crosses every side(edge) exactly once.

Q: A random sample of size 81 is taken from a normal population having a mean of 75 and a standard…

A: Given Mean 1=75 Mean 2=60 Standard deviations 1=3 Standard deviations 2=5 n1=81 n2=25

Q: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The…

A: Given: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5…

Q: 28% of college students say they use credit cards because of the rewards program. You randomly…

A: Givenp=0.28n=10Let "x" be the no.of students say they use credit…

Q: 37% of working mothers do not have enough money to cover their health insurance deductibles. You…

A: Binomial probability pmf has used.

Q: A fair die is cast four times. Calculate the probability of obtaining exactly two 6's. p = [?] %…

A:

Q: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least…

A: From the provided information, Sample size (n) = 28 Sample mean (x̄) = 720 Population standard…

Q: The length of time it takes for a worker to perform certain task (in minutes) was recorded for 10…

A: Given data set5,3,11,7,6,9,4,8,7,10

Q: Consider a plane with a maximum capacity of 50 passengers. Suppose it is known that on a particular…

A:

Q: In a class of 18 students there are 11 math majors and 7 computer science majors.   Four students…

A: The provided information is  Total students are =18 Math students is =11 Computer science=7 The…

Q: In 1936, the cost of a Hershey's chocolate bar was 5 cents. In 1980, the cost of a Hershey's…

A:

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 joint probability function for the random variables X and Y, P(X,Y), is given in matrix below.…

A: Given that  The joint Probability  function of X and Y is given as  X\Y 1 2 3 1 0.05 0.05 0.1…

Q: The IQs of 500 applicants to a certain college are approximately normally distributed with a mean of…

A: Suppose a random variable X, that defines the IQ if students of a certain college.

Q: 4. A. Two roommates, Jacquie and Therese, are not home often, so they have less than full interest…

A: Nash equilibrium          The Nash equilibrium is a decision-making theorem in the game theory. The…

Q: B: A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

A: GivenTotal no.of cards = 52