Exercise 3 Consider the data below that correspond to the monthly talk times (in minutes) of the mobile phones of 12 employees of one department (Customer Service) of a certain company (assume that talk times are normally distributed): 123 42 77 97 110 53 88 91 66 117 85 38 a) Estimate the mean monthly talk time of all employees in all departments of the company (i.e. calculate the best one-point estimate for the population mean). b) Estimate a 95% confidence interval for the mean monthly talk time of all employees of the company. c) Do you think that this sample of data is representative? Why or why not?

Q: A) Say a bag of marbles is made up of 22 large marbles and 18 small marbles. Of these marbles, 15…

A: There are 22 large marbles.There are 18 small marbles.Total number of marbles is 40.Out of these 40…

Q: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green,…

A: The objective of this question is to find the probability that the first two candies drawn are…

Q: Consider the following Binomial Experiment: The probability that a cell phone manufactured at…

A: The provided information is as follows:The probability that a cell phone manufactured at Electronics…

Q: Ahmed, Omar and Salem have applied for the nomination to be the chairman of the student council at…

A: Given that there are three persons Ahmad, Omar and Salem have applied for the nomination to be the…

Q: The following table shows the breakdown of opinions for both faculty and students in a recent survey…

A: Survey Results on Restructuring Campus to include an Honors…

Q: The lifetime of an aquatic insect has an exponential disribution with parameter θ = 10 hrs. (i)…

A: The lifetime of an aquatic insect has an exponential disribution with parameter θ = 10 hrs.

Q: There are 9 balls numbered 1 through 9 placed in a bucket. What is the probability of reaching into…

A: Given that there are  balls numbered  through  placed in a bucket.We are drawing balls using the…

Q: Find the value of the probability of the standard normal variable Z corresponding to this area:…

A: 1. Standard Normal Distribution: The standard normal distribution is a normal distribution with a…

Q: 22 Let (X₁, X₂) be jointly continuous with joint probability density function f(x₁, x2) = { 0- (²…

A: Clearly, X and Y are independent, since their supports are independent and,

Q: In a random sample of eight cell phones, the mean full retail price was $486.00 and the standard…

A: Sample of size(n)=8sample mean()=$486.00sample standard deviation(s)=$187.00

Q: The table below gives the number of days it takes for packages to be delivered from an online…

A: From the provided information,The probability distribution is as follow:Number of Days…

Q: In a poll conducted by the General Social Survey, 70% of respondents said that their jobs were…

A: From the provided information,70% of respondents said that their jobs were sometimes or always…

Q: (a) Which of the following surveys probably would best represent the entire population of…

A: Town officials want to estimate the number of households that own a dog.Three survey options:a. 50…

Q: What are the similarities and difference of how to find probabilities of independent events and…

A: Independent events: Independent events are events where the occurrence of one event does not affect…

Q: Using the table containing the breakdown of all employees on nonfarm payrolls in the United States…

A: The provided information is as followsThe total number of non-farm payrolls is .The data set of…

Q: An experiment consists of 8 independent trials where the probability of success on each trial is…

A: From the provided information,

Q: (a) What is the probability that a card chosen from a standard deck of cards is a King or a diamond?…

A: The objective of the question is to calculate the probability in different scenarios.

Q: Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P(A₂)…

A: It is provided that, A1 and A2 are mutually exclusive events, thus forming a complete partition of…

Q: The cumulative distribution function (CDF) for the exponential distribution is given as: P(X < x) =…

A: Mean () =10The cumulative distribution function (CDF) for the exponential distribution is given…

Q: What is the probability of drawing a kind from each three separate deck of cards?

A: It is needed to find the probability of drawing a king from each three separate decks of cards.

Q: Problem 20-8 (Algo) Lakeside Bakery bakes fresh pies every morning. The daily demand for its apple…

A: The expected profit under a probability demand distribution is calculated by multiplying the profit…

Q: Determine the t critical value(s) that will capture the desired t-curve area in each of the…

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

Q: a box contains 23 blue marbles, 13 green marbles, and 8 red marbles. thwo marbles are selected at a…

A: The objective of this question is to find the conditional probability of event F (the second marble…

Q: Three men and three women sit down randomly on 6 chairs in a row. Find the probability that the…

A: The provided information is as follows:There are three women and three men.The total number of men…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Given that, two dice are rolled. Then the total number of possible outcomes is 36,n(Ω)=6×6=36Let, A…

Q: An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the…

A: Probability is defined as mathematical representation of likelihood of an occurrence of an event.It…

Q: A university is putting together a hiring committee of 9 members for the next university provost.…

A: From the provided information,Total members = 4 + 9 + 11 = 24A committee of 9 members is hired.

Q: (b) Consider three (non-negative) random variables, X, Y, and Z. Let f(x, y, z) = kxyz² inside the…

A: Let inside the following region E and 0 elsewhere.The region E is defined as the region under the…

Q: of a Ice is an A pie of size and its sample mean is calculated. Find the probability that the sample…

A: Mean of the exponential distribution is 50, n=100=sample size

Q: A company has a policy of retiring company cars; this policy looks at number of miles driven,…

A: The mean is 61 and standard deviation is 6.The distribution of the number of months in service for…

Q: A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on five numbers pays 6 to 1 (that…

A: Given information:The total number on the  roulette wheel is Total number =38   ( 1 to 36, 0, and 00…

Q: A population of values has a normal distribution with 104.1 and o = 99.5. You intend to draw a…

A: Mean()=104.1standard deviation()=99.5sample of size(n)=19

Q: (a) to.10, 19 Recall the notation ta, u which the area under the t-curve with v degrees of freedom…

A: We have given a t-distribution.

Q: Suppose that you are looking the N-binomial model with the no-arbitrage assumption with 2 = u = 1/d,…

A: For the N-binomial model described, where the no-arbitrage assumption is given by , and , and the…

Q: Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a…

A: Solution

Q: For someone who is 35 years old and adjusting for education, calculate the odds ratio of being…

A: SAS output:

Q: Assume that random guesses are made for eight multiple choice questions on an SAT​ test, so that…

A: From the provided information,

Q: A company must choose between 3 mutually exclusive options for the launch of a new product. PE after…

A: It is given that a company must choose 3 mutually exclusive options for the launch of new product…

Q: 2) The reading on a voltage meter connected to a test circuit is uniformly distributed over the…

A: 2.a)The random variable Y defines the reading on a voltage meter connected to a test circuit.

Q: In a random sample of four mobile devices, the mean repair cost was $70.00 and the standard…

A: sample size(n)=4Mean()=70.00standard deviation(s)=13.50confidence level=95%

Q: Compute the conditional probabilities P(A|B) and P(B|A). (Round your answers to three decimal…

A: The objective of this question is to calculate the conditional probabilities P(A|B) and P(B|A) given…

Q: In an insurance company the number of claims are modelled as a Poisson process with rate X > 0.…

A: Number of claims are modelled as a Poisson process with rate .Premium income per unit time = Let…

Q: Suppose that there are 30 quarters, 17 dimes and 13 nickels in a bag and one coin is drawn from the…

A: Given data in the problem isQuarters = 30Dimes = 17Nickels = 13Total = 60We have to find the…

Q: 2. Let U be a uniform continuous random variable on the interval [4, 9]. Let W = 10-2U, and let Y =…

A: U∼Uniform(4,9)Also W=10−2UandY=U

Q: don’t know yet which Biology Professor and Biology Laboratory Assistant you will get. You like…

A: Given,Total number of professor, n(P) = 10Total number of biology laboratory assistant, n(A) = 5The…

Q: If two fair dice are rolled what is the probability that a total showing is more than three

A: The objective of this question is to find the probability that the sum of the numbers on two dice is…

Q: (a) The 95th percentile of the chi-squared distribution with v = 8 2 For the chi-squared critical…

A: The degrees of freedom is 8.

Q: Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities…

A: Given data and calculation for mean and sample standard deviation is shown belowData…

Q: . Two cards are drawn from a 52-card deck (the first is not replaced). (a) Given the first card is a…

A: Given data ,Total number of cards = 52 using formula ,

Q: Allison purchases one lottery raffle ticket for a school fundraiser. The raffle ticket cost  $19.…

A: From the provided information, The raffle ticket cost  $19.   The school is selling 13,599…