If P(A)= 0.7 and P( B)= 0.6, find P (AUB) if: A and B are where Be is complement of B (not B) independent,

Q: b) Let X₁, X₂, X3X be a random sample of n from population X distributed with the following…

A: Given Xi~N(0,θ) Mean=E(X)=0, V(X)=θ  Note: According to Bartleby guidelines expert solve only one…

Q: The probabilities that discipline officers will discover violations of the student handbook in a…

A: Given: Number of violations (v) Probability P(v) 3 0.3100 4 0.1200 5 0.1700 6 0.1200 7…

Q: Suppose that you rolled the die five times and got the values of 3, 4, 2, 3, and 1. What is the…

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Q: Example 2.8.3 Suppose X has the geometric distribution with some parameter p which is un- known.…

A: Given X~Geom(p) f(x)=p(1-p)x-1 ; x=1,2,3,..

Q: h) A factory is producing components, of which 1.9 % are defective. They are packed in boxes, each…

A: Given thatprobability that component is defective p = 1.9% = 0.019n = 15X ~Binomial(n, p) X ~…

Q: The sampled students were asked about various things, including whether owned a car, whether they…

A: Simple random sampling (SRS) is a method of selection of a sample comprising of n a number of…

Q: Verify that the following function is a probability mass function, and determine the requested…

A: P.m.f is given by,  p(x)= (125/31)*(1/5)x Whe X= 1,2,3  For every probability mass function, the…

Q: Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w(0)…

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Q: 2-73. The probability that a builder of airport terminals will win a contract for construction of…

A: Let us define some events A : a builder will win a contract in country A. B : a builder will win a…

Q: Which of the following would be the standard deviation used in developing the p-control chart?

A: Given:  Proportion of defective product p= 0.03 Sample size n=30  To find standard deviations used…

Q: Prob-5 The lighting department of a city has installed 2000 electric lamps with an average life of…

A: We have given that Number of electric lamp = 2000 Mean(µ) = 10000  Standard deviations (σ) =500…

Q: 12. The probability of a new antiviral medication successfully curing patients was found to be 0.77.…

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Q: The following independent spinners were spun simultaneously. What are the odds in favor of spinning…

A: Given that Two events are independent : Let N- Probability of prime number  & Letter G…

Q: All students in a high school were surveyed about two sports. The results are shown in the graph.…

A: The graphs show a sports survey of the high school students.

Q: Carl decides to sell his old laptop on eBay, and sequentially receives bids from potential buyers.…

A: Given that Xn, n≥0 denote the sequence of independent and identically distributed bids that Carl…

Q: a) The probability that a score is from 185 to 210 is (Round to four decimal places as needed.) b)…

A: Given that  Mean = M = 201 , Standard deviation = SD = 22 X ~ Normal ( M = 201 , SD = 22 ) Note:…

Q: ou watch your favorite tv show every night. Each episode is 32 minutes long, and you watched 49…

A: Given: Each episode time =32 min.Number of episode =49

Q: manufacturing company is analyzing its accident record. The accidents fall into two categories: …

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Q: B. A manufacturing company is analyzing its accident record. The accidents fall into two categories:…

A: Given information: Minor dealt with by first aider: Average cost k 50. Major hospital required:…

Q: If the probability of having rain tomorrow is 40%, what is the probability of not having rain…

A: It is given that  P( rain tomorrow ) = 40%

Q: Show that for any &> 0 and Sn = 1X₁, lim P(|S₁ − 0| ≥ ɛ) = 0. n-00

A: We will use Chebychev's inequality to find the limit of given probability.

Q: Find the mean for the set of grouped data. The mean is (Round to two decimal places if needed.)…

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Q: Match each data set to its likely standard deviation. {20, 36, 45, 49, 60, 67, 69, 72, 78, 80, 83,…

A: Given data is :

Q: 4. The following independent spinners were spun simultaneously. What are the odds in favor of…

A: Define the events, A : spinning a prime number in disk 1 B : spinning a G in disk 2 In First disk…

Q: In a very delicate operation, the only chance of survival is 80 percent. Find the probability that…

A: 90% of 10 patients is X= 90*10/100 = 9 X= 9  We've to find the probability that exactly 9 patients…

Q: Suppose X~ N(63, 2.1792). Use this distribution to help you answer the following question: What is…

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Q: Suppose there is a random vector (X, Y) of density f(x, y): 10<x<3y³€ • Find E(Y|X) • Find…

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Q: 3. A game is played by spinning a wheel that contained the words Roll and Flip. The wheel has 10…

A: Given: Total number of slots=10 Number of times roll written on wheel= 6 Number of times flip…

Q: Question to investigate: For the population of Race IAT participants, is birth-gender related to the…

A: Race IAT  Testing Racial preferences is observed in many countries.  Measuring Bias demographic…

Q: (a) Calculate the probability that there are 2 or less calls in one hour. ANSWER: 0.06197 (b)…

A: It is given that the number of telephone calls that arrive at a phone exchange is often modelled as…

Q: Customers arrive at a video rental desk at the rate of 9 per minute(Poisson). Each server can handle…

A: Given: Arrival rate, λ = 9 customers per minute. Service rate, μ = 3.001 customers per minute Number…

Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yards, and each…

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Q: A die is rolled n 100 times. The tallied outcomes of each roll are recorded in the table below.…

A: Theoretical Probability is defined by the fraction of favorable outcomes to the all possible…

Q: The annual family expenditures of 421 families in the main city is normally distribution with a mean…

A: The provided information are: Population meanμ=800000Population standard deviationσ=75000

Q: 14. How many different arrangements are there of all the letters in the word PINEAPPLE? a. 362 880…

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Q: 80 students were surveyed weather they took Physics, Biology, or Chemistry. P - Physics B - Biology…

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Q: e) Use the one-parameter regular exponential family definition to find the functions, h(x), c(0), w…

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Q: What type of relationship - positive or negative - is captured in the following sentence? "As…

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Q: The Simple Linear Regression model is   Y = b0 + b1*X1 + u   and the Multiple Linear Regression…

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Q: of this calculation and how do they mean and median each represent the central tendency of this data…

A: Data set : 0 5 10 15 20 25 Mean 12.5 Median 12.5 Mode No Mode as there are no repeated values…

Q: One hundred sixty-five people each purchased one raffle ticket. Three winning tickets are randomly…

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Q: (a) (b) (c) In a study to determine frequency and dependency of color-blindness relative to females…

A: Given data is   Female(F) Male(M) Totals Color-blind(C) 0.002 0.024 0.026 Normal(N) 0.518…

Q: 4) A committee of 7 is to be randomly selected from a small company employing 10 Engineers, 4…

A: It is given that Number of engineers = 10 Number of non-engineers = 4+6+5 = 15 Total = 10+15 = 25…

Q: 4. The big rectangle has L=9 cm, W= 5 cm. The small white rectangle has this mathematical…

A: Probability of Happening of an event =Favourable area/Total area Here, Favourable area is area…

Q: 6. Consider an urn which contains red balls and green balls. Initially there is just one green ball…

A: Expectation According to the definition of expectation, if a stochastic variable takes two values…

Q: A box of 30 flashbulbs contains 6 defective bulbs. A random sample of 2 is selected and tested. Let…

A: Given that  Total flashbulbs in the box (n) = 30 Number of defective bulbs = 6 Number of…

Q: Given P(A) = 0.36, P(B) = 0.40 and P(A B) = 0.17. Find P(AUB).

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Q: 1 Suppose (i) what in & mi رشه fiii) what

A: Given: Rate of call per hour or 60 minutes = 30

Q: A random variable X has the cumulative distribution function probability density function F(x)=e* on…

A: Given that, a random variable X has cdf:- F(x) = ex ,      [0, z ]

Q: A six-sided dice is rolled. Four points is scored if the roll comes up with 5 or 6, one point if it…

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