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Probability Q&A, Textbooks, and Solutions

Probability Q&A

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Q: You play the following game: You bet $1, a fair die is rolled and if it shows 6 you win $4, otherwis...

A: you roll a 6, 1/6 of the time you get $4.you roll a 5, 1/6 of the timeyou loose $1.you roll a 4, 1/6...

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Q: In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the fem...

A: Here the probability of selecting a female is given by: 

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Q: 8 points) Identify the critical t. An independent reedom and the crtical random sample is selected f...

A: Given:Sample Size \'n\'Confidence LevelDegree Of FreedomCritical Value t*1290  2795  1198  1799  

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Q: Homework: Homework 8.5 - Probability Distribution; Expected Score: 0 of 1 pt 1 of 6 (0 complete) HW ...

A: Given:The total number of balls= 6 (white balls) + 2(blue balls)= 8 balls.Number of balls can be dra...

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Q: Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability ...

A: The multiples of 3 between 1 and 20 are 3,6,9,12,15,18The multiples of 5 between 1 and 20 are 5,10,1...

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Q: What would be an example of an exposure ratio threshold?

A: Exposure ratio is relevant in a case control study. It involves the following concepts:1)case group ...

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Q: (1) One serving of Annie's Organic "Shells and Real Aged Cheddar" Mac and Cheese has 270 Calories, 1...

A: Let x represent the intake of Annie's Organic Mac and Cheese , y represent the intake of Applegate's...

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Q: This is for a Linear Algebra class. Please provide explanations for the answer (3) In the casino gam...

A:  Part(a)We have been given that in a casino game of roulette, a ball is spun around a wheel with 38 ...

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Q: A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are dra...

A: Let us first find probability that the first ball is red. For that we will need the following.Since,...

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Q: I need to find a conversion factor between cubic meters and cubic centimeters. How do I write it in ...

A: 1 m = 100cm

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Q: fr(r) 4

A: The mean(mX) of a random variable X is given as:

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Q: c) If n is divisible by 6, then n is divisible by 3. If n is divisible by 3, then the sum of the dig...

A: From the given above information and also from the result, we can observe in the following way:

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Q: Let {1,2,3,4,5}A,{1,3,5,7,9}B,{ |0 11}Cxxisanevennaturalnumberbetweenand and {1,2,3,4,5,6,7,8,...

A:  Given A = {1,2,3,4,5},  B = {1,3,5,7,9} and C ={x}, where x is an even natural number between {0 an...

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Q: If the median salary was $1,875,000 for the New York Yankees in 2008 How much was the salary per 10 ...

A: Since total games played were 160, let us find out, salary per game first. For this we divide total ...

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Q: If one dozen eggs are $2.30 and 30 eggs for $5.50 which one is the better deal?

A: In first deal one dozen eggs are $2.30. One dozen includes 12 eggs. To compare the two deals, let us...

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Q: The country withe the greatest population density is Monaco, where approximately 32,500 people live ...

A: Given, in Monaco 32,500 people live in an area of 1.95 square kilometer.

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Q: What is 28 pounds of recyclable trash in a barrel of 52 pounds of trash?

A: We can express 28 pounds of recyclable trash in a barrel of 52 pounds of trash as fraction or as per...

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Q: what is 63 million Americans under age 15 out of 314 million Americans in 2011?

A: Given, Americans under age 15 = 63 million               Total americans = 314 million

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Q: Between the 2010 Census and 2011 the official population of Denver increased from 600,158 to 619,968...

A: The formulas to calculate absolute change and relative change are given below.

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Q: What is the total revenue from music sales decreased from $14.6 billion to $5.5 billion between 2000...

A: If Revenue in  year 2000 was $14.6 Billion and Revenue in year 2014 was $5.5 billion. So the differe...

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Q: The median age at first marriage of US Woman (26.1 years) is what percentage less than the median ag...

A: We have been given the median age of woman and men and we have to find median age of woman is what %...

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Q: The amount of wheat produced by china in 2009 (115 million metric tons) was what precent greater tha...

A: China produced 115 million metric tons and India produced 81 million metric tons in 2009. To calcula...

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Q: Let a and b be two integers. Prove that if a+b is even then a-b is even.

A: Given that a and b are any two integers. We are trying to prove "if a+b is even then a-b is even."

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Q: In a sample of 1100 U.S. adults, 212 dine out at a restaurant more than once per week. Two U.S. adul...

A: Given, Total U.S adults = 1100               Adults who dine out at a restaurent more than once per ...

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Q: The probability that a person in the United States has Type B+ blood is 8%. Four unrelated people in...

A: Solution: We are given that the probability that a person in the United States has Type B+ blood = 0...

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Q: On four exams,Wallace's grades were 79,93,91 and 68. what grade must he obtain on his fifth exam to ...

A: Let Wallace's grade in the 5th exam be x.

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Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is...

A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four ...

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Q: A local university has 2,815 Hispanic students out of a total of 20,250 students. How many more Hisp...

A: Assumption: The Hispanic population ratio in the country is 17% (approximately).The university has 2...

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Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating ...

A: Given that there are 8 people sitting in a row.The number of people, n=8.

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Q: we are going over the guess and check method. and im having trouble setting up this problem."Rachel ...

A: Racheal is paid 15$ per hour for caretaker job.Racheal is paid 8$ per hour for dog walker job.Let us...

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Q: . Initial diagnosis of a patient’s illness was potentially flu (F), cold (C), or hay fever (H), with...

A: For bayes' theorem, its always better to draw probabilities in tree diagram to visually analyse them...

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Q: ementary probability theory) the probability that the sum of the two dice will be each ot 2312. Use ...

A: Here it is given that X is continuously uniform distributed on [a,b]. The probability distribution f...

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Q: According to national data, 20.7% of burglaries are cleared with arrests. A new detective is assigne...

A: In this question we are going to use Binomial Probability Distribution to get the probability. We ar...

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Q: Let y be a random variable having a normal distribution with a mean equal to 250 and a standard devi...

A: Population mean (mu) = 250Standard deviation (sigma) = 10a) show that the event y< 260 has the sa...

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Q: Question # 3 Roll two (fair) dice. What is the probability that at least one of the two dice is four...

A: Rolling two dice at a time. There are 6 outcomes in rolling a die which are 1,2,3,4,5,6.So the numbe...

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Q: Question # 5 Suppose I flip a fair coin 20 times. Assumes that the coin flips are indepen- he probab...

A: Introduction:For a fair coin, total number of possible outcomes in 20 flips of a fair coin = 220.Den...

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Q: Each of the 10 questions on a multiple-choice exam has four possible answers. How many differentways...

A: Multiplication rule for counting:Consider the total number of events in a sequence is n.The number o...

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Q: Motors Inc. manufactured 325 cars with automatic transmissions, 216 with power steering, and 89with ...

A: We have given,

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Q: Question # 4 Consider a circular table with N > 4 seats. Chris and Sarah are two of N th at ests to ...

A: Given a circular table with N seats (N ≥4). Chris and Sarah are two among the N dinner guests,Let us...

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Q: Question # 2 Let A and B be independent events. Show that A-Ω\ A and Bc-Ω\B are independent. Also sh...

A: Independent events:Two or more events are said to be independent if occurrence of one event does not...

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Q: Let Xi be iid Exp(λ) random variables.1. Let Mn = max1≤i≤n Xi. Compute the CDF FMn (x).2. Using the ...

A: 1.Introduction:Here, X1, X2,,…, Xn, are iid (independent and identically distributed) random variabl...

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Q: A company is selecting 6 people to be on a committee. There are 32 employees eligible to be on the c...

A: We have given,

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Q: A company is selecting 5 people to be on a committee. There are 21 employees eligible to be on the c...

A: We have given,

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Q: Among 13 electrical components exactly 4 are known not to function properly. If 6 components are ran...

A: We have given,Total number of components = 13Number of components are not to function = 4Now, we hav...

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Q: Let A = {3, 10}, B = {10, 11, 28}, D = {35} and S = sample space = A ∪ B ∪ D. Identify (Ac ∩ Bc)c.a)...

A: In this question, we have given some information with the help of which we have to find the value of...

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Q: Let A = {4, 6}, B = {6, 11, 23}, D = {35} and S = sample space = A ∪ B ∪ D. Identify Ac ∩ B.a) {4, ...

A: Given information:The given events are as follows:A = { 4, 6 }, B = { 6, 11, 23 }, D = { 35 } and th...

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Q: Given the following sampling distribution:X -18 -11 -4 4 19P(X) 7⁄100 1⁄50 9⁄100 1⁄20 ___(i) Find P(...

A: In this question we have given some probabilities at some values of x  and by using that information...

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Q: Given the following sampling distribution:X 0 3 7 14 19P(X)...

A: Given probability distribution of a sample as shown belowHere we know that sum of all probabilities ...

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Q: Suppose you have a distribution, X, with mean = 9 and standard deviation = 5. Define a new random va...

A: Given information:Given that the mean and standard deviation of the variable X is 9 and 5.From the c...

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Q: Identify the following distribution as binomial, geometric or neither.A headache remedy is said to b...

A: In this question we have given some data based on that we have to find that which distribution is be...

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Q: A quarter back completes 30% of his passes. We want to observe this quarterback during one game to s...

A: Given information:It is given that, a quarter back completes 30% of his passes.That is, the probabil...

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Q: Which statement is not true for a binomial distribution with n = 10 and p = 1/20 ?a) The mean equal...

A: Given that a binomial distribution with n = 10 and p =1/20.This indicates that there are total of n ...

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Q: In testing a new drug, researchers found that 3% of all patients using it will have a mild side effe...

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials, s...

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Q: Given:P(E) = 0.45, P(F) = 0.53, and P(E ∪ F) = 0.67(i) Find P(E ∩ F)(ii) Find P(F | E)a) (i) 0.31 ...

A: Given Two events E and F, probability of P(E) =0.45 and probability of P(F) =0.53 andP(E U F)= 0.67....

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Q: If 5 people get on an elevator which will stop on 9 floors, a) what is the probability that no two(o...

A: Given 5 people get on a elevator which will stop on 9 floors. We need to find probability that no tw...

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Q: From the integers 1,2,3,4,5,6,7,8,9, two integers are randomly selected, determine the probability t...

A: Given integers: 1,2,3,4,5,6,7,8,9Now, we need to choose two integers from the above set. 

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Q: How to Solve Truth Table ?

A: Logical operation:A logical operation is a special symbol or word that links two or more phrases of ...