• Your dorm enters 15 out of 65 plastic numbered ducks in a duck race. The ducks are all dumped into a stream and drift to the finish line. What is the probability that three of your dorm's ducks finish first, second, and third? d four digits.

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 8 seeds are planted,…

A: There is a 90% chance of growing into a healthy plant.

Q: Oil pipes ~ Oil field pipes are internally coated in order to prevent corrosion. Researchers…

A: Standard deviations=σ=0.5,α=0.05,marginoferror=e=0.15

Q: Assume that the random variable X is normally distributed, with mean u = 54 and standard deviation 6…

A: The population mean is 54 and the population standard deviation is 8.

Q: The data show the population (in thousands) for a recent year of a sample of cities in South…

A: The data shows the population (in thousands) for a recent year in a sample of cities in South…

Q: The "Pita Patrol" offers these choices for each sandwich: white or whole wheat pitas 3 types of…

A: For each sandwich, the "Pita Patrol" gives the following options: whole wheat or white pitas 3…

Q: In the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper…

A: In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a…

Q: Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart…

A: A.It is given that, 82% of people who have suffered a heart attack have periodontal disease, and…

Q: Sara and Petros each have a standard deck of cards. Independently, each of them selects a card…

A: Since Sara and Petros each select a card independently at random from their respective decks, we can…

Q: Assume that 18 major computer manufacturing companies operate in the United States and that 12 are…

A: From the provided information,18 major computer manufacturing companies operate in the United…

Q: Let X1, X2,... be independent. In which of the following situations does (X) satisfy the Lindeberg…

A: The Lindeberg central limit theorem, a variation of the central limit theorem that applies to a…

Q: If 90% of the parts produced by a certain machine do not are not defective and which are chosen at…

A: Probability of the parts produced by a certain machine are not defective(p)=0.90sample size(n)=25Let…

Q: Exercise 2 A manufacturing process always has 8 parts in process. A part must successfully…

A: Given:There are always 8 parts in the process.Machine for Step 1(M1) processes 8 parts per…

Q: 1. Anne has a coin. She does not know if it is a fair coin. She flipped the coin 100 times and…

A: Anne flipped her coin 100 times and obtained 73 heads and 27 tails. This is a proportion of 0.73 for…

Q: Flip a fair coin X times and let Y be the number of Heads. Find P(Y=0)

A: Consider an unfair four sided die. Let X be the number appearing on the die. Suppose P(X=1)=1/8,…

Q: The assets (in billions of dollars) of the four wealthiest people in a particular country are 36,…

A: Given thar the four asset values are 36, 29, 20 and 15.Sample size=2.The Samples are selected with…

Q: Question 4 An insurance company offers its policyholders a number of different payment options. For…

A: CDF : Cummulative distribution function is defined as follows :CDF of a random variable X is defined…

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: Given events are,A: the red die shows 2;B: the numbers add to 5;C: at least one of the numbers is…

Q: Management Decision Systems (MDS) is a consulting company that specializes in the development of…

A: Given data: timeActivityDescriptionImmediate predecessoropti (a) most prof (m) pess (b)AReport…

Q: What happens to the shape of the binomial distribution as the number of trials increases? Is it true…

A: We have to tell , When number of trials increases , what happens to the shape of Binomial…

Q: Consider the following joint probabilities table for X and Y, where x = 1, 2, 3 and y = 1, 2, 3, 4.…

A: From the information, given the joint probabilities table is, Where, x=1,2,3 and y= 1,2,3,4.

Q: Studies have shown that 30% of women use sunscreen regularly on their face and other exposed skin…

A: 30% women use sunscreen, p = 0.30 q = 1 - p = 1 - 0.30 = 0.70 Sample of 12 women , n = 12 Binomial…

Q: Suppose you were planning a trip to the Disney World next year. You found the probability of going…

A: The probability distribution of number of trips in Place D is given.

Q: A company has both male and female employees. The company has shirts and jackets with the company…

A: From the information, given that

Q: Suppose we only have set cards which are green and whose shapes are ovals. What is the smallest…

A: Here we only have set cards which are green and whose shapes are ovals.Then, we have to find the…

Q: Q 2.6. Suppose that (X,Y) are the co-ordinates of the random point chosen uniformly at random from…

A: Given is an ellipse from which the coordinates (X, Y) are randomly chosen.

Q: If you flip a fair coin 13 times and X is the number of times the coin came up "Heads", what is P(X…

A: n = 13, p=1/2=0.5Let X be the number of heads.p be the probability of heads.X~Binomial(n=13, p=0.5)

Q: A roulette wheel has 38 slots and a ball that rolls until it falls into one of the slots, all of…

A: Given:Total slots =38Red slots =18Black slots =18Green zeros =2The probability of the ball landing…

Q: 25. The results for a mandatory competency test for high school sophomores has a normal distribution…

A: Mean()=400standard deviation()=100

Q: Let X and Y have the joint PDF f(x,y) = 2e−x−y for 0<x<y<∞. Find the joint PDF of Z = 2X and W = Y −…

A: f(x,y)°2e−x−y ; 0&lt;x&lt;y&lt; ∞

Q: A manufacturer has a machine that if it ran all day today has a proba- bility of 0.2 of breaking…

A: Given that, a manufacturer has a machine that if it ran all day today has a probability of 0.2 of…

Q: Which component has the highest probability of functioning for the life of the system if the target…

A: Given,is modeled by a normal random variable with hours and  hours is also a normal random variable…

Q: A game consists of tossing a fair coin 3 times. Let random variable W denote the number of heads…

A: From the given information,W denotes the number of heads,Z denotes the winnings earned in a single…

Q: X~N(0,1), Y~N(1,4), X and Y are independent of each other, then 2X+3Y+3 ~ ( )

A: X~N(0,1) and Y~N(1,4)

Q: According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15%…

A: Note:- Since you have posted a question with multiple subparts we will provide solutions only to the…

Q: Use the given information to find the indicated probability. P(A ∪ B) = 0.4 and P(A ∩ B) = 0.2. Find…

A: P(A  B)=0.4P(A B)=0.2

Q: If 90% of the parts produced by a certain machine do not are not defective and which are chosen at…

A: Probability of the parts produced by a certain machine are not defective(p)=0.90sample size(n)=25Let…

Q: For each of the following random variables, say whether it is continuous or discrete: a) the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.We…

Q: A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that…

A: we have given that the extruder breaks down an average of two times every day it operates.means the…

Q: study employs this distribution to model X = 3-day flood volume (108 m³). Suppose that values of the…

A: The probability is wrong since it was calculated using only 2 parameters i.e., alpha and beta.

Q: A customer service representative must spend different amounts of time with each customer to resolve…

A: Let X be the time.Given that X follows an exponential distribution with the average amount of time…

Q: A total of 10 toys are sequentially and randomly chosen, without replacement from a toy box…

A: No.of red toys=4No.of blue toys=6Total no.of toys=10

Q: The cost of attending a sports event is usually not limited to the tickets. Often times, you will…

A: Given that the ticket price of a sports event is $50.P (Parking) = 0.9, the parking price is $20.P…

Q: Machinists who work at a tool-and-die plant must check out tools from a tool center. An average of…

A: arrival rate =lambda= = 10 machinist per hourThe service rate () = 5 min to hander per request…

Q: Determine whether the given experiment results in a binomial distribution. If not, select the reason…

A:

Q: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10. In how many…

A: Door prizes for entrants in a young inventors competition are $100, $50, $25 and $10.

Q: Hint: Use the Central Limit Theorem ]. Flip a balanced coin 5000 times. Let X be the total number…

A: n=5000P=0.5

Q: How many times u need to throw a coin to get 2 1's in a row assuming the probablity of throwing 1 is…

A: Probability of throwing 1 is 4/5Probability of throwing 0 is 1/5We must determine the number of…

Q: An urn contains four white balls and six black balls. The random experiment consists of drawing…

A: 4 white ball+ 6 black ball =10 ball

Q: In American roulette, the wheel has the 38 numbers, 00, 0, 1, 2, ..., 34, 35, and 36, marked on…

A: From the given information we havethere are 38 equally spaced slots on the wheel…

Q: On a popular app, users rate restaurants as 1. 2. 3. 4, or 5 stars. Suppose a rating is randomly se…

A: Given:XP(X=x)10.2120.2030.1140.2450.24