A company has 10 employees: 6 with a college degree and 4 without. How many groups of 3 employees can be formed? How many groups of 4 employees consist of 2 with a college degree and 2 without? How many groups of 5 employees consists of at most 3 with a college degree?

Q: ou own 20 CDs. You want to randomly arrange 6 of them in a CD rack. What is the probability that the…

A: you own 20 cds.  arrange 6 of then in a rack.  P(rack end up in alphabetical order) = ?

Q: dent of all (Zk). Prove that 1 Nm ΣΖΕ k=1 (d) m→∞ → N(0, 1). t: one method to do this goes by…

A:

Q: a survey, 25 people were asked how much they spent on their child's last birthday gift. The sults…

A: Given that  Sample size n =25 Sample mean=43 Standard deviation =18

Q: A man and his wife have 6 children. If having a female or a male child is equally likely, what is…

A: Let p be the probability of girl. Given that p = 0.5 (equally likely). Let X denote the number of…

Q: You and a friend have made up a game in which you draw two cards from a standard 52-card deck. If…

A: draw acard from 52 card deck. 12 face cards and 40 non face cards. select two cardsat random

Q: Is there anyway to show this is true via Pigeonhole Principle?

A: The pigeonhole principle states that when there are more pigeons when compared to holes, then at…

Q: Phyllis invested 42000 dollars, a portion earning a simple interest rate of 4 percent per year and…

A: According to the information provided in the question,  Amount Phyllis invested = $ 42000 Earning…

Q: Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair…

A: The sample space when two fair dice are cast is S = { (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1)…

Q: he Inn at Penn has 150 rooms with standard queen size beds and two rates: a full price of $200 and a…

A: Given:-            Full price = $200     discount price = $120 cost of over aging = $120 cost of…

Q: (a) Let Y₁Y₂ 1' Y be independent, normal random variables, each with mean μ and n 2 variance o². Let…

A:

Q: Twenty members of a health club who jog were asked how many miles they jog per week. The responses…

A: value of observtions: 13,14,2,8,13,25,20,31,19,7,6,27,44,20,18,15,23,35,18,17

Q: 6. Choose 2 points (X, Y) uniformly at random from the circle. Find the expected area of the…

A:

Q: Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X…

A: Solution: We need to find the value of constant a and the marginal probabilities for X and Y

Q: Trucks come to a facility to pick up final goods for delivery to far-off markets. They must join a…

A: The information provided in the question are as follows : Number of trucks that arrives per hour is…

Q: What is the probability of failure of the following system? Rp 1-(1-P)(1-P2)(1-P3)... (1-P) R₁ =…

A:

Q: The perimeter of this rectange is 128 linear units, and the ratio of short side to long side is 3 :…

A: The perimeter of this rectangle is 128 linear units The ratio of the shortside to long side 3:5 Then…

Q: A surgery has a success rate of 90%. Suppose that the surgery is performed on three patients. Graph…

A: p=probability=0.9, n=3 =sample size

Q: The Senators have won 75% of the games played against the Canadiens over the past few seasons. What…

A: The following information has been provided: The probability of success is p=0.75. The total number…

Q: Hudson Marine provides boats sales, service, and maintenance. Boat trailers are one of its top sales…

A: Given data: Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 Total yearly sales 1 7 13 10 4 34 2…

Q: At the ice cream shop, there are 17 flavors of ice cream available. How many ways can you select a…

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

Q: The probability that a person has a checking account is 0.74, a saving account is 0.31, and both…

A: Given that  P(checking account) = 0.74 , P(saving account) = 0.31 , P(checking account and saving…

Q: 15) What are the reasons for sampling rather than population? a) Saving time b) Saving money c)…

A: We have to give the situations in which sampling is useful.

Q: Source Degrees of freedom Sum of squares MSE F-statistic Total 5500 Residual Explained 95 33

A:

Q: A local country club has a membership of 600 and operates facilities that include an 18-hole…

A:

Q: ollin has a small business selling hotdogs at tennis matches. He purchases all of the aterials to…

A:

Q: An experiment consists of rolling a pair of dice and observing the uppermost faces. The sample space…

A: Given that  A pair of dice is rolled  Sample space = S  S = {…

Q: A certain television show airs weekly. Each time it airs, its ratings are categorized as "high,"…

A:

Q: You buy a stock that has an annual expected return of 12.05% and a standard deviation of 29.80%.…

A: Given information: You buy a stock that has an annual expected return of 12.05% and a standard…

Q: Joyce paid $35.00 for an item at the store that was 30 percent off the origina What was the original…

A: Joyce paid $35.00 for an item at the store that was 30% 0ff the original price Then to find original…

Q: A man and his wife have 6 children. If having a female or a male child is equally likely, what is…

A: From the information, there are 6 children. Hence, n=6. also, the possibility to having female and…

Q: This problem involves a sample space S with two events, E and F. Assume that Pr[E]=8/15…

A:

Q: Customer Andy Betty Cindy David Ellen Age 36 21 63 59 24 Income (k) 35 50 200 170 40 Frank 37 50 /ho…

A: We'll calculate distance of Frank from everyone else, using the Euclidean measure of distance.…

Q: 4. Five individuals from an animal population thought to be near extinction in a certain region have…

A: Hypergeometric is the measure of discrete probability distribution. It is used when the sample are…

Q: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.

Q: of significance for the given sample data. Assume that the populations are normally distributed. Use…

A: Given that  Sample size n1=27 , n2=19 Standard deviation s1=11.2  , s2=7.1

Q: What is the probability that a five-card hand will contain exactly two 2's? What is the probability…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: In a condominium, the probability that a person owns a car is 0.4. If 19 tenants were interviewed…

A: given data P(owns a car) = p = 0.4n = 19 x = no. ov interviewes person owns a carP(x=7) = ?

Q: 2. The following is the preference table from a science club election where the candidates are Arrow…

A:

Q: udy of the accuracy of fast food drive-through orders, one restaurant had 39 orders that were not…

A: Given that  Sample size n =343 Favorable cases x =39 Sample proportion p^=x/n  =39/343 =0.1133…

Q: Suppose you decide to model the number of multiple choice questions you get right as a binomial…

A: Assume a random variable X, defines that the number of questions answered correctly.

Q: 2. Consider independent fair coin tosses: P(X; = 1) = P(Xį = 0) = 12. Let Ăn = ½/2 Σï=₁ Xį be the…

A: 2. a) Given that PXi=1=PXi=0=12. Here the tosses are independent. So, Xi's are independent random…

Q: Stress is applied to a 20-in. Steel bar that is clamped in a fixed position at each end. Let Y be =…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: (c) Compute the sample correlation coefficient r for each of the following data sets and show that r…

A: i)Given data is x 8 1 9 y 3 4 5

Q: Example 2: The following table gives the probability distribution of a discrete random variable X: X…

A: Given: The probability distribution of a discrete random variable X is given below: X P(X) 0…

Q: Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. (If…

A: given data,  we want  to choose 2 letters, ,without replacement  letters A,B,C,D  and Ewe have to…

Q: Make a scatterplot of the data below. The correlation for these data is 0.5. What is responsible for…

A: Given data: X Y 1 1 2 3 3 3 4 5 10 1 10 11 The correlation coefficient between X…

Q: fx1,x₂(x1, x₂) = 0, otherwise. What is the joint probability density function fy₁,Y₂ of Y₁ = X₁/X2…

A:

Q: A vase contains purple, pink and yellow flowers. You and a friend are both allowed to choose one…

A:

Q: On a given day, about 76% of Internet users in the U.S. visit a social media site. Use R tool, with…

A: Given information: The percentage of internet users in the U.S visit a social site is 76%. In the…

Q: In a game called NIM, there are two players. At the start, two piles of matches are placed on the…

A: Game NIM There are 2 players in the Game NIM The game starts with 2 piles of matches and each pile…