A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.” Among six randomly selected goblets, how likely is it that only one is a second? Among six randomly selected goblets, what is the probability that at least two are seconds? If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?

Q: a) Write E((X − a)²) in terms of a, μ and oʻ. b) For which value a is E((X − a)²) minimal? c) For…

A:

Q: A department organized a pizza party and a barbecue for the sophomore class of 1000 students. 375…

A:

Q: the answer was not right

A: here given data,   First step have possible outcome =5   second step have possible outcome =3 Third…

Q: In a competition 6 teams are competing, and the outcome of interest is who will be the winner. Which…

A: Solution:

Q: If two events are independent, then

A: Here use definition of independent events.

Q: Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served…

A: Given Information: Manufacturer A supplies 40% of the soup served in the cafeteria. Manufacturer B…

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and two orange…

A: Given,no.of red marbles=4no.of green mables=3no.of lavender marbles=1no.of yellow marbles=3no.of…

Q: Consider the weighted voting system [q: 15, 8, 3, 1] Find the Banzhaf power distribution of this…

A: From given we have : [q: 15, 8, 3, 1] compere with [q;P1, P2, P3, P4]

Q: Where did the 1600 come from in 97% of 1600=1552?

A: From the obtained results, considered number of devices (n) is 10000.

Q: Suppose that the probability that there is another pandemic in the next year is 40%. And suppose…

A: GivenProbability that there is pandomic in next year=40%=0.40Probability that there is a war with…

Q: The number of times that a person contracts a cold in a given year is a Poisson random variable with…

A: Given data :  The number of times that a person contracts a cold in a given year is a Poisson…

Q: A surgical procedure requires choosing among four alternative methodologies. The first can result in…

A: surgical procedure : choose among four alternative methodologies.  The first can result in seven…

Q: An NBA team has 15 players but only 13 are allowed to play in a game. The manager has to select two…

A: 13 are allowed to play game out of 15 players.  manager have to select 2 players out of 15 who will…

Q: Use R to complete the following. R code and R output are requested for solution. Please keep your…

A: Given information: fx=1πx1-x, x∈0,1 Given sample sizes n=1, n=3, n=5 and n=10 and the number of…

Q: (a) How many possibilities are there to give 30 identical cookies to 4 kids? (b) How many…

A: Given information: Number of identical cookies = 30

Q: A normal distribution has a mean of μ = 60 and a standard deviation of σ = 12. For each of the…

A: Solution:  Given information: μ=60 Population mean σ=12 Population standard deviation  The z score…

Q: There's a glitch in ChatRoulette, and it matches you with a completely random person, despite your…

A: Given Information: 80% of ChatRoulette participants are men. 20% of ChatRoulette participants are…

Q: surgical procedure requires choosing among four alternative methodologies. The first can result in…

A: Given that 4 alternative methodologies First methodologies=7 outcomes Second methodologies=2…

Q: An office has four copying machines, and the random variable X measures how many of them are in use…

A: Given that P(X = 0) = 0.08, P(X = 1) = 0.11, P(X = 2) = 0.27, and P(X = 3) = 0.33.

Q: The mean and standard deviation of a random variable x are -1 and 1 respectively. Find the mean and…

A: We have given that  Mean = E(X) = -1  Standard deviations = SD(X) = 1 Since we know that  E(aX + b )…

Q: A. Mean = B. Standard Deviation = The cost of parking is 2.25 dollars per hour. Calculate the mean…

A: Here we have given  the probability mass function  Using this probability mass function we have to…

Q: Of 100 students, 22 can speak French, 18 can speak German, and 4 can speak both French and German.…

A: Given  The sample size [n] = 100 n[s] = 100 Speak French = 22  n[F] = 22  Speak German = 18 n[G] =…

Q: A lot of 25 light bulbs consists of N₁ defectives and N₂ working bulbs. The buyer accepts the lot of…

A: Given:-             A lot of 25 light bulbs consist of N₁ defectives and N₂ working bulbs. The buyer…

Q: Claim sizes, X, for an insurance policy have the following PMF:  Find P( x ≤ 60) ?  (use a decimal…

A: the possible values of x are : 20,30,40,50,60 x P(x) 20 0.20 30 0.10 40 0.30 50 0.15 60…

Q: At a large university, 32 % of the students own a tablet. If 9 students are randomly selected, what…

A: 1)Givenp=0.32n=9Let "x" be the no.of students own a…

Q: If A and 8 are independent events and P(B) = and P(AB) = then P(A) is: P(AB) = P(A) P(B) P(B) = 1 11…

A: Given that A and B are independent events such that  P(B)=3/4 P(A∩B)=1/2 We have to find P(A)

Q: A researcher found that the length of time for five-person student groups to reach a consensus on a…

A: (a) We are given that the time it takes for a five-person student group to reach a consensus on a…

Q: Find the probability that the total number of breakdowns that occur in a particular 4-week period is…

A: HereThe number of breakdowns of a factory machine in a week may be modelled by aPoisson distribution…

Q: 6. The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The…

A: P(Own)=0.16  P(rent)=0.30 P(Own|rent)=0.20

Q: polis published by Rasmussen Reports in September 2010 62% of likely U.S. voters believe that no…

A: Given that  Let A be The U.S. voters believe that no matter how bad things are, Congress can always…

Q: How many ways can a president, vice-president, and secretary be chosen from a committee of 12…

A: Given  Number of people=12

Q: Bottom answer is wrong, please fix

A: Given data :  The speeds of vehicles on a highway with speed limit 110 km/h are normally distributed…

Q: 1. 2. 3. For the given value of x, evaluate P(x) Evaluate: P(x) = (2x + 1)/(x+3) x=0 x = 1 x = 2

A: Given information X=0,1,2 P(X=x)=(2X+1)/(X+3)

Q: 2. Is P(AIB) the same as P (BIA)?

A: Given that P(A|B)=P(A and B)/P(B) P(B|A)=P(A and B)/P(A)

Q: At a carnival there is a booth with a dice game. Players pay $5 to roll two dice. If any of the dice…

A: pay $ 5 to roll two dice.  win $ 10  if any of the dice shows 6.   P(event) = no. of favorable…

Q: Why is the strategy of rolling twice before passing the dice should be chosen? explain in detail.

A: Here given that two dice can be rolled as many times as we want but if the number 1 appears on it,…

Q: In an experiment, you randomly pick one letter from the English alphabet and then toss a coin. How…

A: given data, randomly  pick one letter from the English alphabets and then toss a cointhere are 26…

Q: Ten percent of a company's total output consists of baseballs, 20% consists of softballs, and 10%…

A: Given that : 10% of a company's total output consist of baseball 20% consists of softballs 10%…

Q: Calls arrive at a switchboard according to a Poisson process with parameter X = 5 per hour. (a) In a…

A: Given Information: Consider the given information: The calls arrive at a switchboard according to a…

Q: . Possessing a boat and renting an apartment are: A. independent events B. mutually exclusive C.…

A: Given data : Possessing a boat and renting an apartment are: A. independent events B. mutually…

Q: When you roll two dice with all numbers equally likely, what is the probability that the sum of the…

A: given data, roll two dice, total outcomes:=62=36sample…

Q: All freshmen students must take Intro to Business and Business Communications in their first…

A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question…

Q: It has been claimed that at least 40% of all the personal bankruptcies in the United States are due…

A: given data  P(bankcrupt) = p = 0.40 sample size (n) = 10 x = no. of bankcrupties P(x≥4) = ?

Q: A pair of dice is rolled over and over again. What is the probability of the event E that the sum of…

A: Sol:- Let E be the event that the sum of the faces is a two or a three before it is a seven or an…

Q: For each match you play, your probability of winning is 2/3. You plan to play 5 matches, but if you…

A: Sol:- To calculate the expected values and variances of X and Y, we first need to analyze the…

Q: a is normally distributed. The probability that X is between-t and t is 88%. Find the probability…

A: given data  normal distribution P(-t<x<t) = 0.88 P(x<t) = ?

Q: The distribution of exam grades for an introductory psychology class is negatively skewed with a…

A:

Q: Approximately 19% of music lovers like Country Music. Of those who do, 99% do not have mild brain…

A: It is given that, approximately 19% of music lovers like Country Music.

Q: In a recent study, young adults (18-25 years) were randomly assigned to one of two treatments to…

A: Sol:- (1) An appropriate absolute measure of association is the risk difference, which is calculated…

Q: 3) n + 5 > −3 : -10 -8 -6 T + -2 + 0

A: