There are 3 sets of balls numbered 1 through 6 placed in a bowl. If 3 balls are randomly chosen without replacement, find the probability that the balls have the same number. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Q: given month at this intersection: (a) at least 2 accidents will occur? (b) 5 or 6 accidents in half…

A: It is given that the random variable X i.e, intersection results follow Poisson distribution with…

Q: In a lottery game, a player picks 7 numbers from 1 to 47. If 6 of the 7 numbers match those drawn,…

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Q: In a certain municipality, 70% of all residents are at risk of heart disease. If researchers…

A: When  X~Bin(n,p) P(X=x)=nCx×px(1-p)n-x ; x=0,1,2,..,n  Farmula used r!=r(r-1)(r-2)×..×3×2×1…

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club. LE…

A: given data,you are dealt one card from 52 card deck here total outcomes = n= 52 cards probability…

Q: Find the variance of each of the nine​ samples, then summarize the sampling distribution of the…

A: Samples are given : We have to calculate variance for each sample and probability for each. Each…

Q: Problem 2 Let (,,P) be a probability space. (1) For measurable events A,B,C EA with P(C) >0 and…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first…

Q: Exercise 6. (a) Any of the following events would lead to the 170E instructor having a bad day: A…

A: Disclaimer: " As per guideline we can only solve three sub-parts of a problem. Please, resubmit the…

Q: What is the probability that the spinner lands on Red??

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Q: If P is a probability function and A1, A2, A3,...,An A, A₂KA, e, then PUA = EP[A].

A: Given that

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A: In this case, x defines the hydrogen concentration using a gas chromatography method and y defines…

Q: The following data is representative of that reported in an article on nitrogen emissions, with x =…

A: (b) The values given in the question are as follows : Let, x = burner area liberation  and  y =NOx…

Q: need help in this question of Probability In a certain municipality, 70% of all residents are at…

A: Given that  n = 16 , p = 70% = 0.7

Q: Construct a normal probability plot for the following sample of observations on coating thickness…

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Q: A bag contains 4 Milky Way bars and 5 Snickers bars. Jerod picks a bar at random from the bag and…

A: Given information: A bag contains 4 Milky Way bars and 5 snickers bars. Total number of bars is…

Q: A hospital emergency room accepts an average of about 47 bone fracture patients per week. Let the…

A: Given,The average no.of bone fracture patients per week is 47 .

Q: Discrete random variable X has probability mass function pxas follows. 01 2 3 4 px (x) 0.1 0.2 0.2…

A: Given probability mass function px of X is x 0 1 2 3 4 PX(x) 0.1 0.2 0.2 0.3 0.2

Q: (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 186. Use…

A: Formula: Regression line is                 Y = a + b X

Q: The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate…

A: Given data: Temperature (x) Ratio (y) 171 0.9 173 1.25 174 1.32 175 0.97 175 1.05 176…

Q: Suppose the average yearly cost of car insurance in Australia is $800. Since the annual insurance…

A: To be uniformly distributed , data must not varies at any point.It must same peak at every point.

Q: 7.If 20% of the bolts produced by a machine are defective, determine the probability that, out of 4…

A: Givenp=0.20sample size(n)=4Let "x" be the no.of bolts will be…

Q: (a) A type of lightbulb is labeled as having an average lifetime of 1,000 hours. It's reasonable to…

A: a) i) Assume that the random variable x defines the lifetime of light bulbs.

Q: Suppose that six individuals are interested in taking part in a study relating BMI to a number of…

A: Given: The following 6 numbers represent the individuals’ BMI (kg/m2). 25.78, 21.06, 36.54, 29.51,…

Q: Let a coin have probability of heads p and probability of tails q ≜ 1−p, for some p ∈ (0, 1). The…

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Q: P: A square is a quadrilateral. Q: 51 is a prime number. R: The square of 4 is 2. Find the truth…

A: Using given information P : A square is a quadrilateral Q : 51 is prime number R : The sqaure of 4…

Q: The 21st Century grade of students in a certain school is normally distributed with a mean of 87.18…

A: Given data: Mean = 87.18 Standard deviation = 2.99 To find: What range of scores represents the…

Q: (a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're…

A: As per our guidelines, we can solve only first one question. Please post the remaining questions…

Q: Assume that 30% of the students in a college have GPA over 3.0. Consider randomly selected group of…

A: Given that  n = 10 , p = 30% = 0.30 p = Probability of the students in a college have GPA over 3 X =…

Q: tautology, contradiction or contingency. [(~pvq) (~qvr)] → (pr)

A: Using given statement , [ ( ~ p V q ) . ( ~ q V r ) ] →( p → r ) In this statement negation ,…

Q: Chest size (inches) 49 42 D 385 Weight (pounds) Click the icon to view the critical values of the…

A: The regression equation is given by,  ŷ = a + bx                                      ... (1) Where,…

Q: A production of 20 fuses is received by the store. It is known that 4 of the fuses are defective.…

A: Let n be the sample size  X be the number of defective fuse  X~Bin(n,p)

Q: Salinity in Quebec river is a combination of tides and rain. Rain that diluted the salt occurs about…

A: Given information: PRainNo afternoon tide=0.10PRainAfternoon tide=0.15P(Afternoon tide)=0.50P(No…

Q: A sample of consumers was surveyed about their purchasing habits, and the responses are summarized…

A: Answer: - Given, A sample of consumers was surveyed about their purchasing habits, and the responses…

Q: Managers of an outdoor coffee stand in Coast City are examining the relationship between (hot)…

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Q: Find the market shares for the three retailers in month 1.

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Q: How do I find the probability that the person has hypertension P(HlR)? P(F) = 0.90, P(H) = 0.10,…

A: It is given that  P(F) = 0.90, P(H) = 0.10, P(R/H) = 0.95, P(R/F) = 0.08

Q: According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights…

A: Givenp=0.80sample size(n)=25

Q: In a study of the relationship between health risk and income, a large group of people living in…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A box contains two fair coins, two coins that are weighted so that the probability of heads is .75…

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Q: I have 10 red and 10 blue cards. I shuffle the cards and then label the cards based on their orders:…

A: Given problem Given that   I have 10 red and 10 blue cards. I shuffle the cards and then label the…

Q: How many 5 letter words can be formed if no letter is allowed to be used no more than once in a…

A: It is given that 5 letter words can be formed and also a word here is any combo of letters - it does…

Q: Determine whether the following statement makes sense or does not make sense, and explain your…

A: There is total 6 numbers.

Q: (1) An airline finds that each passenger who reserves a seat fails to turn up with probability For…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: According to a recent survey, 77% of husband-wife families with kids under 18 years old have life…

A: Let  n be the sample size  p be the probability of husband-wife families with kids under 18 years…

Q: Following BIVARIATE table shows data obtained from mean score of a group of statistics and…

A: A Bivariate table of data showing data related to two variables-Score and Anxiety level is given.…

Q: Suppose P(C) = .048, P(Mn C) = .044, and P(M u C) = .524. Find the indicated probability. P(M) .528…

A: We have given that,  P(C) = .048, P(M∩C) = .044 and P(M∪C) = .524 Then,  We will find probability…

Q: A manufacturing machine has a 8% defect rate. If 3 items are chosen at random, what is the…

A: Ans#- Given, A manufacturing machine has a p = 8% = 0.08 defect rate.           If n = 3 items are…

Q: 8B and 7A Kindly solve Part B for Q8 and Part A for Q7 Needed to be solved required parts only in 30…

A: 7a.

Q: How many ways are there to arrange 10 people in a line? Suppose it took 1 minute to arrange these…

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Q: I know 50% of Chrome add-ons are spam add-ons containing a virus. A tool can detect 99% of spam but…

A: Given; P(B) = 0.5, P(B') = 0.5, P(AlB) = 0.99, P(AlB') = 0.05

Q: 6.Ten percent of the tools produced in a certain manufacturing process turn out to be defective.…

A: Given information: 10% of the tools produced in a certain manufacturing process turn out to be…