nplify the following using De Morgan's and justify your answers using Venn Diagram a. ((A' n B)' U C) b. (A U C')' n B')

Q: A 1. It is known that if C = : then the pdf of C is given by B' fc(e) = | 16| fa.B(cb, b) db. Use…

A: Given that Z~N0,1 and Y~χ2n with Z and Y are independent.

Q: 3. While I am dog person, my husband is a cat person. Two years ago, I was trying to convince him to…

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Q: Use the normal approximation to the binomial to find the probability for n=,10 p=0.5 and X≥8. Round…

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Q: 2.) Use the following data which represents the population of the 20 most populous cities in the…

A: For the given data construct frequency distribution

Q: Define the residual method of estimating irregular components in a time series ?

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Q: 1. Ten competitas in a beauty contest are ranked by three judges in the following order. First…

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Q: For a segment of a radio show, a disc jockey can play 8 records. If there are 13 records to select…

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Q: Determine the optimum preventive maintenance frequency for each of the pieces of équipment…

A: The objective is to determine the optimum preventive maintenance frequency for each of the pieces of…

Q: A mail order company has a 7% success rate. If it mails advertisements to 636 people, find the…

A: Givenp=0.07n=636let "x" be no. of getting salesx~Binomial(n=636,p=0.07)P(X=x)=(nx)px(1-p)n-x  ;…

Q: Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559…

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Q: What is the probability of picking a red card or a king if prior to selection all the black cards…

A: here given , card is picking from deck of 52 card , but prior to the selection all black cards from…

Q: (6) From a standard deck of cards (52 cards) how many 5-card hands will contain a) Four jacks and…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: What are the objectives behind the analysis of seasonal variations in a time series ?

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Q: sample data resulted in sample the mean temperature of humans is less than 98.6°F at the a = 0.01…

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Q: Example 2 The following table represents no of Road accident in Bangalore city. Years: 1995 1996…

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Q: 3. Find rank correlation co-efficient and comment Marks in Mathematics (x): 60 70 50 40 80 90 85 96…

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Q: In a lecture class, there are students in which 35% of them lives in Luzon, 40% lives in Visayas…

A: IX Given information: P(lives in Luzon)=35%=0.35 P(Visayas)=40%=0.40 P(Mindanao)=1-0.35-0.40=0.25…

Q: Describe models of a time series.

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Q: 22 Consider the PINS made from exactly three symbols chosen from the 26 letters of the alphabet with…

A: We have given the following statement about the PIN made from exactly  three symbols choosen from 26…

Q: The demand function and the supply function of a good are given by:D=14+5p-p² and S=3p -1. %3D Find…

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Q: Q. 25 Construct Fisher's Index number of the following data Base Year Current Year Commodity Price…

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Q: Solve for the following. Write your answer on the space provided. 1. If a card is drawn randomly…

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Q: (a) Suppose one of these people is selected at random. Compute the probability that the person…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  HERE USE GIVEN DATA TABLE and basic probability…

Q: Let's assume that your sample mean and sample standard deviation are the true population mean and…

A: We have given that Mean= µx̅ = µ = 2560Standard deviations (σx̅ ) =  634.60

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: It has long been stated that the mean lémper temperature of humans is less than 98 6°F They measured…

A: From the given data state the hypotheses

Q: Let's assume that your sample mean and sample standard deviation are the true population mean and…

A: Let μ be the population mean and σ be the standard deviation. Let X be a random variable. Then,…

Q: In a random sample of 400 students at a university, 336 stated that they were nonsmokers. Based on…

A: We have given that,  Favorable cases (X) = 336 and sample size (n) = 400 Then,  We will find the 90%…

Q: 4. A teacher is assessing three groups of students in order to offer one group a prize. Over a…

A: Tally marks are one way of counting frequency of data values.

Q: From their individual interview, Marcela claims that no more than 5% of the garments she sewed did…

A: Given Information: The claim of Marcela: Not more than 5% of the garments she sewed did not pass the…

Q: What do you call the set of all possible outcomes in an experiment?  a. Event   b. Random Variables…

A: Event: Event may be defined as happened or occurrence of an experiment Sample Space: all possible…

Q: 1. A six member debate team is to be formed from 8 boys and 10 girls who tried out. a) Determine the…

A: A random variable is a variable whose values depend on outcomes of a random experiment. It is a…

Q: I Consiter Hhe follwing pdf: PxY (xy). -2 di) Find Px and Px e) Find Pxir (xly) for every y. fo)…

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Q: arrives, the group decides that 4 people should get into the taxi. In how many ways can that be…

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Q: 1. Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion…

A: Marcela and Lorenza agreed to go under one-month observation period. During the time, the fashion…

Q: Q 1 - A nation job placement company is interested in developing a model that might be used to…

A: For the given data Find ( a ) r =? ( b ) Hypothesis test ( c ) Least square regression model

Q: 80% of students pass Chemistry 101. Knowing this, Manuel didn't study for the midterm and ended up…

A: From the given information, 80% students pass chemistry 101. So, the remaining 20% fails chemistry…

Q: b. P[2570 a]= 0.508 Z-score: 9.78 P[Za]= 0

A: The probability value is calculated by the likelihood of the happening. The z score is calculated by…

Q: Use the confidence interval to find the margin of error and the sample mean. (1.59,1.95) The margin…

A: GivenConfidence interval  is (1.59 , 1.95)Upper class limit = 1.95Lower class limit = 1.59

Q: What is the selection of clusters from the available clusters in the population?   a. Sampling Error…

A: We have given the following statement about cluster sampling.  Cluster sampling: In random sampling,…

Q: a. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? b.…

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Q: 9. Given the scores 56, 45, 75, 81, 90, 46, and 65. What score will fall on the 80 th percentile? O…

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Q: From a well-shuffled standard deck of 52 cards, one card is to be selected. What is the probability…

A: Given that  There are 52 card in the deck in which they divided into two color i.e red(26) and black…

Q: Use the confidence interval to find the margin of error and the sample mean. (1.62,2.00) The margin…

A: Given,confidence interval(CI)=1.62 , 2.00Upper limit(UL)=2.00Lower limit(LL)=1.62

Q: Under the assumption that the customer ratings using the new menu follow a normal distribution, you…

A: Given that Sample size n = 19 Sample variance s2 = 44.3 Population variance = 24.7

Q: mean lifetime of 12.05 holes drilled when drilling a low-carbon steel. Assume the population…

A: We have given that,  Sample mean (x̄) = 12.05, population standard deviation (σ) = 6.56 and sample…

Q: a. A coin is tossed 3 times. Find out the number of outcomes. b. In how many ways can the letters of…

A: here use counting principle

Q: 14. Suppose the Toronto Maple Leafs and the Edmonton Oilers make it to the 2021-2022 Stanley Cup…

A: A number of events are said to be independent if the probability of occurrence of any one of them is…

Q: The manager of a gas station has observed that the times required by drivers to fill their car's…

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Q: Which of the following is not a Discrete Random Variable?    a. Rain   b. Number of Books in the…

A: Which of the following is not a Discrete Random Variable?    a. Rain   b.…