3 In a simple random sample of 1000 households, 150 households happen to own a barbecue grill. Based on the characteristics of the population, the expected number of grill owners in the sample was 180. What are the values of pie, p, and n? 4 For a population of five individuals, television ownership is as follows:
A particle arrives to a random point x uniformly distributed on [-1; 1]. There are two devices independently detecting this particle; one detects the particle with probability p(x) and another with probability q(x). What is the conditional distribution of the point x of arrival, given that the particle was detected by both devic
Cars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units. a) Find the probability that her waiting time is zero b) Find her expected waiting time
See the attached file. If X1,X2,..., Xn, are (iid) , from a distribution with mean μ and variance σ^2. Define the sample mean as Xbar = (X1+X2+...+Xn) / n (a) Show that the mean and variances of the probability density function of Xbar are given as E(Xbar) = μ Var(Xbar) = (σ^2)/n b
See attached file. Time spent by two clerks is defined by f(x,y) = { x+y if 0≤x ≤1 ; 0≤y≤1 { 0 else a) Find marginal probability distribution f1(x) and f2(y) b) Are two random variable x,y independent? why? c) Are x,y correlated? why? d) Suppose proportion "d"
See attached file for questions 8 and 9. 1. The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. A- Sample of n = 75, the probability of a sample mean being greater than 229 if u = 228 and o=4.4 is (round to four
1. A discrete random variable can have the values x =3 x=8, or x=10, and the respective probabilities are 0.2, 0.7, and 0.1. Determine the mean, variance, and standard deviation of x. 2. According to the National Marine Manufacturers Association, 50.0% of the population of Vermont were boating participants during the m
Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that: None of the antennas is defective. Three or more of the antennas are defective.
The accounting department at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. Determine the z values for 29 and 34 h
Shaver Manufacturing, Inc. offers dental insurance to its employees. A recent study by the human resource director shows the annual cost per employee per year followed the normal probability distribution, with a mean of $1,280 and a standard deviation of $420 per year. a. What fraction of the employees cost more than $1,500 p
A shipment of 10 items has two defective and eight nondefective items. In the inspection of the shipment, a sample of items will be selected and tested. if a defective item is found the shipment of 10 will be rejected. If a sample of 3 is selected what is the probability that the shipment will be rejected? Use hypergeometric
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the pr
The accounting department at Weston Materials, Inc., a national manufacturer of unattached garages, reports that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. a. Determine the z values for 29 and 3
Refer to the Real Estate data, which reports information on homes sold in the Denver, Colorado, area during the last year. a. Sort the data into a table that shows the number of homes that have a pool versus the number that don't have a pool in each of the five townships. If a home is selected at random, compute the followin
64% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who considers themselves baseball fans is (a) exactly eight (b)at least eight and (c) less than eight. If possible use technology to find the
There are 90 1st and 2nd graders on the playground. 50 are 1st graders and 40 are second graders. 75 are boys. One is picked at random, what is the probability of choosing a 1st grader boy? Please explain.
1. Find the following probabilities: (A) Events A and B are mutually exclusive events defined on a common sample space. If P (A) = 0.4 and P(A or B) = 0.65, find P(B). (B) Events A and B are defined on a common sample space. If P(A) = 0.30, P(B) = 0.50, and P(A or B) = 0.60, find P(A and B) 2. A bag of jelly belly candie
5.78 A computer specialty manufacturer has a two-person technical support staff who work independently of each other. In the past, Tom has been able to solve 75% of the problems he has handled, and Adam has been able to solve 95% of the problems he has handled. Incoming problems are randomly assigned to either Tom or Adam. If a
5.22 A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work: Number of Miles (One-Way) A B C D E F GREATER THAN AN
5.20 There are 100 males and 120 females in the graduating class of a local high school. Thirty-five percent of the graduating males are on school sports teams, as are 30% of the graduating females. A local businessperson is going to donate $1000 to the favorite charity of a randomly selected graduate. What is the probability th
A gardner plants 12 flowers. It is perdicted that on an average, 15% of the flowers planted will die during the first winter. Using the information above, please answer the following questions: 1. What type of probability distribution is presented? 2. Find the probability that EXACTLY 5 of the flowers will die in the first
1. Determine whether each of the distributions given below represents a probability distribution. Justify your answer. (A) x 1 2 3 4 P(x) 1/12 5/12 1/3 1/12 (B)x 3 6 8 P(x) 2/10 .5 1/5 (C)x 20 35 40 50 P(x) 0.4 -0.2 0.5 0.3 2. Consider a binomial distribution with 14 identical trials and a probability of succe
If 3 of the 98 test subject are randomly selected without replacement, find the probability that they all had false positive results. It is unusual to randomly select 3 subjects without replacement and get 3 results that are all false positive results? Explain.
1. Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up. a) Complete the table that gives the expected values of each event occurring. Event x (random variable) P(x) xP(x) Rolling a 1 +5 Rolling a 2 -10 Rolling a 3 +5
1. About 8% of the populaiton are hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? 2. A password consist of 1 letter and followed by a six diget number. How many passwords are possible if not
I'm just taking this Statistics class and I really need help understanding how to do these problems. If you need me to increase the credits, let me know. For the following problems, determine whether a probability distribution is given. In those cases where a probability distribution is not described, identify the requiremen
13. Micromedia offers computer training seminar on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting, Micromedia is currently planning a two -day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for
Be sure to include information about where statistics is being used in the workplace. Comment on the value of statistics and its contribution to the success of an organization. Be sure to include other ways that probability is used in business. Feel free to use the Business Source Premier Database in the Library as a resource to
See attached data file. Details: Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Begin your email to AIU by first providing an overview of the database, i.e. a story about the characteristics which may include the types of variables included,
> Lets say you have tribe E and tribe T. The fraction of grey eyes in tribe E is pg_e=.673 and the probability of blue eyes is pb_e = 1-pg_e=.327. Similarly for tribe T we have the fraction of grey eyes in tribe B is pg_t=.327 and the probability of blue eyes is pb_t = 1-pg_t = .673. Now with this a prior knowledge you fin