What is the probability of getting at least one six in a single throw of three unbiased dice?

Q: A total sample space is the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). If A is (1, 2, 4, 5, 8, 9) and B is…

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Q: For two events, A and B, P[A] is; P[B] is and P[AB] is g. Determine the values of: P[AB]; P[AUB];…

A: It is given that P(A) = 1/2, P(B) = 1/4, P(A ∩ B) = 1/8

Q: Let's say you own a slot machine with a 1 out of 88 chance of a 269 prize. What do you need to…

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Q: How many times do we have to flip a balanced coin to be able to assert with a probability of at most…

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Q: The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is…

A: The sample size is 10, sample mean is 7.42 and sample standard deviation is 1.3.

Q: The accompanying tree diagram represents a two-stage experiment. (Let x = 0.3, y = 0.7, r = 0.7, s =…

A: Given x = 0.3,  y = 0.7,  r = 0.7,  s = 0.3,  t = 0.4, w = 0.6

Q: In a recent survey, 70% of management executives thought that it should be  mandatory for business…

A: Solution: Let X be the number of students has not mandatory for business  to take a quantitative…

Q: What changes occur in the histograms as the value of n increases?

A: As the value of n​ increases

Q: A single fair die is tossed. Find the probability of rolling a number greater than 1. What is the…

A: GivenA single fair die is tossed

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 0.2 and 0.1…

A: From the provided information, The probability distribution table is as follow: Grade A B C D…

Q: The true class start time, X, after schedule, has the following cumulative distribution function F:…

A: The Cumulative distribution function of a random variable X is given by: Fx=PX≤x It is given that…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: There are 3 pets: pigs, fish, turtles.  Then possible 2 pet votes :  (pigs, fish), (pigs, turtles),…

Q: Question 9: A machine produces, on average, 95% of mouldings within tolerance levels. Determine the…

A: To solve this problem, Binomial distribution should be used. Binomial distribution has a probability…

Q: One coin is tossed and one colored marker –red, yellow, blue, or green - is selected at random.   a)…

A: Note: As per our guidelines we have to answer only 3 sub parts, kindly repost the remaining sub…

Q: Leah is flying from Moncton to Vancouver with connection in Montreal. The proba- bility that her…

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Q: group able. Assume that the two samples are independent simple random samples μ d from normally…

A: Given Significance level =0.05

Q: Suppose that one person in 1,000 people has a rare genetic disease. There is an excellent test for…

A: given data event A : have diseaseevent B : tests positiveP(A)  = 11000 = 0.001P(A') = 1 -0.001 =…

Q: A certain city has one morning newspaper and one evening newspaper. It is estimated that 20% of the…

A: Introduction: Denote A as the event that a randomly selected household from the city subscribes to…

Q: Data compiled by the Highway Patrol Department regarding the use of seat-belts by drivers in a…

A: From the provided information, Drivers Percentage of Drivers in Group Percent of Group Stopped…

Q: (i) A sample consists of the following values: 10, 8, 6, 4 Determine the range of values within…

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Q: A corporate Web site contains errors on 100 of 750 pages. If 50 pages are sampled randomly without…

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Q: A random sample of 10 secretaries was asked to type a certain memorandum using both computers and…

A: Given that, A random sample of 10 secretaries was asked to type a certain memorandum using both…

Q: 2. The joint p.d.f. of the r.v.'s X and Y is given by ={8 (0 +6²9), 0.5 = 51, 05051 0, otherwise.…

A: Note: As per the Bartelby guidelines only three subparts can be answered. Kindly resubmit for other…

Q: Consider the OLS regression equation: ŷ = 0 + Â₁×1 + B₂X2 + Â33. If the R² is close to zero, it…

A: R2 represents the coefficient of determination. Let R32 is close to zero that means y is not…

Q: There are 10 women and 3 men signed up to join a salsa dance class. In how many ways can the…

A: Given,no.of women=10no.of men=3

Q: Suppose the random variables X, Y and Z have the joint pdf f(x, y, z) = 8xyz for 0<x< 1, 0<y<1, and…

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Q: Does the compound event consist of two mutually exclusive events? Two dice are rolled. The sum of…

A: A=The sum of 2 can be obtained by (1,1) B=The sum of 9 can be obtained by (3,6),(4,5),(5,4),(6,3)…

Q: Perform a Bonferroni test to see which means are significantly different. Round your answers to th…

A: Work study vs. Co-op: Given information: x¯1=12.96, s1=0.4852,n1=15x¯2=14.4508, s2=1.5733,n2=24…

Q: Q13. In a bet, you have 40% probability of losing $15. What should the potential winnings from such…

A: From. The above data  We are given that the  n= 15 P = 0.40

Q: (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.)…

A: From given data we have : λ=0.25,     ;[from previous solution]σ=2.3,μ=0.3125  ;[from previous…

Q: 7a) A researcher aims to assess the associative impact of coffee consumption on death rates from…

A: Scatter plot is used to determine the relationship between the two numerical variables. It is also…

Q: A student can select one of 6 different mathematics books, one of 3 different chemistry books and…

A: given data  6 mathematics books 3 chemistry books 4 science book.    select one book of each…

Q: A football team scored 176 points during a 3-game series from touchdowns (6pts each), extra points…

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Q: In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A: The sample space in the simultaneous throw of two dice is : S={(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: A reporter for an international newspaper is given an assignment that is randomly chosen from the…

A: GivenNo.of United states assignments=13No.of south American Assignments=15No.of European Unin…

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: Given A panel of 4 Democratic candidates, 4 Republican candidates, and 2 Independent candidates will…

Q: What are the odds in favor of randomly drawing the letter s from the letters in the word…

A: Given word is "Mississippi"Total no.of letters in the word=11No.of "s" in the word=4

Q: Note: The notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 1.)…

A: Followings are the Explanation of the question

Q: 2. Prove by induction that 3² i=0 3n+1-1 2 for all n with n ≥ 0.

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Q: You have relatives coming for dinner this weekend.  The probability that your uncle Josiah will show…

A: given data  event A: uncle josiah show up B : aunt beatrice show up   P(A) = 0.48 P(B) = 0.43 P(A∩B)…

Q: The air control informs the pilot of an aircraft about the altitude of the centre of the air…

A: Given problem Given that   The air control informs the pilot of an aircraft about the altitude of…

Q: 6. What is the probability that a random 6-digit phone number (a sequence of digits between 0 and 9)…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: A tram company runs two tram routes from station P to station Q. The first route is a direct tram,…

A: Given problem Given that   A train company runs two tram routes from station P to station Q.  The…

Q: (a) A structure consists of 100 column footings. Suppose the settlement of each footing is…

A: Given that a structure consists of 100 column footings and the settlement of each footing is…

Q: In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw…

A: Method: Using One sample t test

Q: The integers from 1 to 15, inclusive, are partitioned at random into two sets, one with 7 6) (…

A: given data integers : {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}partition it in two sets, one with seven…

Q: n 13.2 Approximating Binomial Distributions mine if the binomial distribution of n trials and…

A: Solution 41) Given that, n=125  p=0.12 q=1-0.12 q=0.88 If np&gt;5 and nq&gt;5 then binomial is…

Q: Of 40 people eating lunch at Rendezvous, 15 are eating the chicken tenders. Determine the empirical…

A: Given 40 people are having their lunch at rendezvous

Q: The Gallup website reported results from a recent poll of American teachers and asked if they…

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Q: Give the following answers to three decimal places, where appropriate. (c) Find the expected value…

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