A mathematics paper consists of 12 questions of which not more than ten are to be answered. given that the number of candidates who answer ten questions is equal to the number of candidates who answer nine questions only. find the probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 if all the questions have the same chance of being selected.

Q: 6. Define a recurrence relation and all necessary initial conditions for the following problem: A st...

A: We need to find the recurrence relation for the given above problem

Q: Q3. 48 raincoats for sale at a local men's clothing store. Twelve are black. If 6 raincoats are sele...

A: Given information: Total number of raincoats = 48 Number of black raincoats = 12

Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)  

Q: A box contains 24 calculators, 9 of which are defective. 9 calculators are selected at random from t...

A: Given that  Total calculator=24 Defective calculator=9 9 calculators are selected at random from the...

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students r...

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Q: Scores from a recent test in a Calculus course are 93, 52, 92, 81, 76, 34, 87, 91, 98, 64, 93, 84, 4...

A: Histogram is used to meausre the spread of the data. It helps to understand whether the data is skew...

Q: to the grand prize in the academic incentive program. Which is ciosest to the probability that the s...

A: here Given  The table of No of students who got Double As and One student will be selected from this...

Q: 52 well-shuffled cards. Find the probability that (a) 4 are queens, (b) 2 are jacks and 3 are queens...

A: HERE 5 CARDS ARE DRAWN FROM DECK OF 52 CARDS  there are total 52 cards in standard deck  here it is ...

Q: 5. How is the sampling distribution of the statistic displayed?

A: We have to describe the sampling distribution of chi-square.   

Q: A source emits four colours {Red, Blue, Green, Yellow} with probabilities as 0.1, 0.2,0.3, 0.4, resp...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: viation is 150 dollars. You will use a simple random sample of 83 auto insurance policies. nd the pr...

A: Solution

Q: A car dealership has 8 ​red, 14 ​silver, and 5 black cars on the lot. Ten cars are randomly chosen t...

A: Given,no.of red cars=8no.of silver cars=14no.of black cars=5Total no.of cars=27

Q: Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon ...

A:

Q: Data from a survey of customers are on an ordinal scale (1 to 7) regarding satisfaction with the ser...

A: Given a situation, we have to identify which statistical test is used here and also explain the test...

Q: his sales by recording the number of boxes of pandesal delivered for the entire month. The probabili...

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Q: 1. Let X = E-1 Xi. Use the properties of the expectation and the variance to show that E(X)= µ and V...

A:

Q: In how many ways can one walk from A to B by taking the shortest possible path along the grids?

A: In this case, we are able to move up or right. From the diagram we can move 4 rights, and 5 ups'.

Q: Three couples (husbands and their wives) must sit at a round table in such a way that no husband is ...

A: 3 couples (6 persons) Circular Total ways =  (factorial n-1) = (factorial 5)=120 ways. 

Q: Solve the following problem and show your complete solution: 1. Profesor Z conducted a periodic exam...

A:

Q: 3. Consider the graph of the following function. Weight (pounds) 140 120 90 60 30 10 20 30 40 Age (y...

A: Given: Graph

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A:

Q: A single, fair 6-sided die is tossed. Find the odds in favor of rolling a 2, 4, 5, or 6. What are th...

A: The odds in favour of event A is defined as P(A)/(1 - P(A)).

Q: The probability that a student comes from a two-parent home is 0.75 and the probability that a stude...

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Q: Find the probability of scoring a total of 8 points in 2 tosses of a pair of fair dice (a) once, (b)...

A: If a pair of fair dice is thrown then total number of outcomes, n(S) = 6*6 = 36 The event space for ...

Q: Here are summary statistics for the weights of Pepsi in randomly selected cans: n= 36, x 0.82411 lb,...

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Q: A committee with 6 members will be formed from 20 CIs and 10 EEs. How many are possible if the commi...

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Q: Answer the following problems. Write your answer on the space provided. whar is the probability of d...

A: Since you have posted multiple questions, as per our guidelines we have provided answer for first qu...

Q: 2. Suppose one has n non-degenerate random variables X1, X2,, Xn so that X1+ X2 + · · · + Xn = L for...

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Q: Q4) The infection percent of a disease in a town was 0.01%. Find the probability that there was no i...

A: Given that  Probability of disease (p)=0.0001 Population (n)=5000 Then we have to find the probabili...

Q: For a standardized psychology examination intended for psychology majors, the historical data show t...

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Q: 4) Listen On a typical quiz, 10% of the class scores 4 points, 20% scores 3 points, 50% scores 2 poi...

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Q: Assume that the amount of time taken by students to write an organic chemistry test is normally dist...

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Q: A coin has an equal probability of coming up heads or tails when tossed. Suppose a game is played wh...

A: Given that p=q=1/2 Expected value =?

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Q: 2 strains of Zombie virus strains have been discovered in the US! The strains are described below: S...

A: Given that, 2 strains of Zombie virus strains have been discovered in the US! The strains are descri...

Q: A marble is selected at random from a jar containing 3 red marbles, 6 yellow marbles, and 4 green ma...

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Q: 45. A regression analysis yields the line ý = 18 + 0.25x. One of the subjects, Mary, has æ = 40 and ...

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Q: The tensile strength of paper is modeled by a normal distribution with a mean of 36 pounds per squar...

A:

Q: In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachu...

A: Given that  Approximately 97.4% of all the runners complete the race.  P = 97.4% = 0.974 (1-P) = 1-0...

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has a = 60 an...

A:

Q: Start with a deck of 64 cards—16 cards in 4 suits. Ask a person to think of card. Your task is to id...

A: The amount of information uncertainty in the single card,  Hs= log2N  Here total cards are N= 64 Hs=...

Q: 4.14. Three boys and three girls are lined up in a row. (a) What is the probability of all three gir...

A:

Q: There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 47% of the...

A: Solution: Given that: p= 0.47 Population proportion  n= 7 Sample size   

Q: 1. Given the PMF of C: c = 1,2 Pc(c) = {1 c = 3, 4, 5 O other wise Find the expected value E[C] and ...

A: For the given PMF E( C ) =? S.D (C ) =?

Q: Suppose that in a certain class, grades will be given in a uniform distribution where a = 80, b = 10...

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Q: How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is repe...

A:   How many different 4-digit numbers can be formed from the numbers 2, 4, 5, and 8 if no digit is re...

Q: Using the data pictured below create a correlative graph that includes mean calculations, variables ...

A: Correlation: Generally, correlation is used to describe the relationship between the two variables. ...

Q: 1. Briefly explain why statistics are needed.

A: Given that  Briefly explain why statistics are needed :   

Q: (a) What is the probability that if you crack and check 26 "good nuts" you will find 21 bad ones? 0....

A: Here use binomial distribution 

Q: Suppose there are 6 roads connecting town A to town B and 4 roads connecting town B to town C. In ho...

A: Multiplication rule of counting: If there are ‘a’ number ways to make the first choice, b ways to ma...