Use the following information to answer the following question. A bag contains 12 red marbles, 15 yellow marbles, 10 green marbles, and 3 black marbles. What is the probability of pulling out a black or yellow marble?

Q: The heights of kindergarten children are approximately normally distributed with the following.…

A: Given data  Population mean μ=47, standard deviations σ=2.3  X~N(μ=47,σ=2.3)

Q: A four digit number is to be formed from the digits 0, 2, 5, 7, 8. How many numbers can be formed if…

A: 4 ways to fill it (2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to…

Q: A box contains a total of 100 CDs that were manufactured on two machines. Of them, 60 were…

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Q: An experiment that satisfies the following four conditions is called a binomial experiment. 1. There…

A: Given: Consider an experiment that consists of 50 tosses of a fair coin. Let X denote the number of…

Q: a) What is the probability that a randomly selected individual owns shares in a bond fund? [ J b)…

A: HERE GIVEN , A Certain fund company offers its customers a variety of funds. The percentages of…

Q: is the probability that on any day the number of order received will be a. Less than 440 orders b.…

A: It is given that  Mean, μ = 500 Standard deviation, σ = 30 Z-Score, Z = ( X - μ )/σ

Q: A standardized test consists of multiple choice questions. Each question has five choices. Suppose…

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Q: Situation 9. Suppose that X has a lognormal distribution with parameters 8 = -2 and 0²=9. Determine…

A: Lognormal distribution         A lognormal distribution could be a continuous probability…

Q: Use the given information to find the indicated probability. A, B, and C are mutually exclusive.…

A: Given data,P(A)=0.3P(B)=0.4P(C)=0.3P(A∪B∪C)=?

Q: Question 2 A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt, and 6…

A: Given data  17 light bulbs=6(13 watt)+5(18 watt)+6(23 Watt) Farmula used:  nCr=n!/(r!(n-r)!)…

Q: Let X and Y be independent random variables with gamma distributions, T(3,2) and (4,2),…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: a) the probability that the time to detect the next piece of debris is less than 3 minutes. b) the…

A: Here  Rate of detect debris from sunken craft at rate of 40 pieces per hour λ = 40 pieces per hour =…

Q: An engineering professor acquires a new computer once every two  years. The professor can choose…

A: Given that An engineering professor acquires a new computer once every two years. The professor can…

Q: What is the variance of a continuous random variable X whose probability density is

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Q: Suppose that a family has three children, each of which is a boy or a girl, and we assum boys and…

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Q: A bookstore has 8 Algebra with Trigonometry and 7 Introduction to Biology books available. If two…

A: Solution-: Given: Number of Algebra with Trigonometry books =8            Number of Introduction to…

Q: Ex. 2. Determine the probability of getting the sum 6 exactly 3 times in 7 throws with a pair of…

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Q: Consider the given discrete probability distribution. Find P(X>3). 1 2 3 4 5 P(x) 0.1 0.2 0.2 0.3…

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Q: Suppose that X has a continuous distribution with the following probability density function f(x)=…

A: Continuous probability distribution

Q: Erica is working on a project using software to find probabilities. She quickly realizes that her…

A: As Prof. A. M. Gun said "Suppose there is a finite population of size N that contains exactly K…

Q: A saleswoman works for a base salary of $360 a month plus 7% commission on all the merchandise she…

A: Given info: A saleswoman works for a base salary of $360 a month plus 7% commission on all the…

Q: You are to randomly pick one disk from a bag that contains the disks shown below. Find…

A: It is given that Total number of disks = 10 Number of yellow disks = 4 Number of yellow disks with…

Q: A fair coin is tossed six times. Find the probability of getting four heads.

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Q: Let n be a positive integer. Suppose we choose a sequence i1, 12,..., in of integers between 1 and n…

A: Given, Let n be a positive integer. Suppose we choose a sequence i1,i2...in of integers between 1…

Q: Let B- (X1), and C-(X4). Then P(C)-P(B)-

A: HERE AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION ONLY  here given Cumulative…

Q: 3. Let X₁, X, and X, be a random sample of size n=3 from a distribution with p.m.f. Construct a) b)…

A: Given:P(X=x)=14    ;x=134     ;x=2Find:pmf of X¯pmf of S2

Q: A computer salesman averages 1.3 sales per week. Find the probability that in a randomly selected…

A: It is given that the A computer salesman averages 1.3 sales per week. So, if we denote the number of…

Q: .a) If Maria does not know the correct answer to a question, is it to her advantage or disadvantage…

A: Here given, Maria is taking a multiple choice exam in which there are five possible answers for each…

Q: Oscar currently has 43 tulips in his yard. Each year he plants 8 more. (a) Which of the following is…

A: A recursive and explicit formula A recursive formula gives the worth of a particular term that…

Q: A random variable X has the probability density function defined by f(x) = kx, 0 ≤ x ≤ 2. a. Find…

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Q: 7. A sales manager at a car dealership has determined that selling a Porsche Cayenne and a Range…

A: Introduction: It is required to find the probability that the sales manager gets the bonus on…

Q: You flip a fair coin 16 times in the air. What is the relative frequency of this coin landing on…

A: One method for making information clear and easy to understand is to structure it in a frequency…

Q: Flip a fair coin 5 times. Let random variable x= number of heads, what is  P(x=1)

A: Let random variable X= number of heads and it follows binomial distribution with parameters (n= 5,…

Q: A die is thrown 6 times. If getting an even number is a success, find the probabilities of (i) at…

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Q: 19. The probability that A hits a target is 1/3 and the probability that B hits a target is 1/5.…

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Q: In a seminar in engineering, the attendees are 15 civil engineers, 30 electronics engineers, and 20…

A: civil electronics electrical total Mapua university 5 12 7 24 Other…

Q: 1. A gaming company claimed that their role-playing games take over 65 hours to complete. A sample…

A: Null hypothesis H0:mu=65 Alternate hypothesis H1:mu>65 Calculating test statistics…

Q: there are 2 boxes in box 1 11 cards are there numberred fron 1 to 11 and in box 2 5 cards are there…

A: Given, Box 1 : 1,2,3,4,5,6,7,8,9,10,11 ; 5 even number cards = 2,4,6,8,10 ; 6 odd number…

Q: A The cumulative distribution function F of a discrete random variable X is given by: 0 if x < 0 if…

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Q: A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt, and 6 are rated…

A: Given: There are 17 lightbulbs in total. 6 bulbs are rated 13-watt 5 bulbs are rated 18-watt 6 bulbs…

Q: Which of the following is not a characteristic of a binomial experiment? A) Each trial in the…

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Q: How many different 3-letter permutations can be formed using the letters in the word "SCARED"…

A: Given  Word is SCARED and we need to determine the no of 3 letter permutations are formed using the…

Q: The mean maximum aerobic power (VO2MAX) score for men ages 20 to 29 is 42 ml/min/kg with a standard…

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

Q: Suppose a card is drawn from a deck of cards. What is the probability that card is a red queen? 1/26…

A: Probability is the measure that used to determine the happening of an event. Probability takes…

Q: probability that exactly two of the modified machines are among the thirteen with problems assuming…

A: HERE GIVEN, A factory has 52 machines. Four of these have been given an experimental modification.…

Q: A random sample of 105 students of University A showed that 12 were in favour of a new grading…

A: Given: Sample size (n1)=105Sample size (n2)=108x1=12x2=18α=0.01

Q: A Certain fund company offers its customers a variety of funds. The percentages of customers in the…

A: a. Given that the percentage of customers' bonds is, the intermediate bond is 18%, the long bond…

Q: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served in 3…

A: Given info: An Ice Cream shop has 36 flavors of ice cream, 6 different toppings, and can be served…

Q: The boxplot below shows salaries for CPAS and Actuaries in a town. CPA Actuary 20 30 40 50 60 70 80…

A: The box plots for CPAs and Actuaries are given.

Q: The average amount of money spent for lunch per person in the college cafeteria is $7.46 and the…

A: The average amount of money spent for lunch per person in the college cafeteria is $7.46 and the…