Explore BrainMass
Share

# Probability

### Statistics: Probability distribution, housing development, Vino Supremo Vinyard corks

1. Use the following to answer questions: The table below presents the probability distribution for X = the number of email messages you will receive in the next 10 minutes. X 0 1 2 3 P(X) .35 .35 .25 .05 a. What is the probability that no emails will be received? b. What is the probability that at least one email w

### Probability: Marbles

A box contains 3 blue marbles and two red marbles. If two marbles are drawn randomly and without replacement, find the probability that (a) at least one of the marbles is blue, (b) at least one of the marbles is red, (c) two blue marbles are drawn, (d) two red marbles are drawn.

### Probability Distribution: Mean & Standard deviation

Supposed you had a sample space of S = [0,2*pi) and a random variable X(y)=cos(y). What is the probability that {X>0} and {X<=1/4}? What is the standard deviation of X? Also, what is the mean of X?

### Statistics Probability distribution: Email to AIU, gender distribution, tenure with company

See attached data set. 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, etc. Be

### Statistics: 6 Probability distribution problems

Unit 2 Test 1. The United States National Centre for Education Statistics compiles enrolment data on American public schools and reports the information in Digest of Education Statistics. The following table displays a frequency distribution for the enrolment by grade level in public secondary schools for a given year. Freque

### Independent Events

27. In 1998, the average age of students at UTC was 22 with a standard deviation of 3.96. In 1999, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work. 29. If A and B are independent events with P(A) = 0.4 and P(B) = 0.6

### Random Investor and Security Ownership

It is estimated 30% of all adults in United States invest in stocks and that 83% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 25% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly c

### Sony Corporation Stats: Normal Probability Distribution

The Sony corporation produces a Walkman that requires two AA Batteries. The mean life of these batteries in this product is 35.0 hours. The distribution of the battery lives closely follows the normal probability distribtion with a standard deviation of 5.5 hours. As a part of their testing program Sony tests samples of 25 batte

### Venn Diagram, binomial probability problems

5.10 Given P(A) = .70, P(B) = .30, and P(A &#8745; B) = .00, find (a) P(A &#8746; B) and (b) P(A | B). (c) Sketch a Venn diagram and describe it in words 5.16 Given P(A) = .40, P(B) = .50. If A and B are independent, find P(A &#8745; B). 6.4 Pepsi and Mountain Dew products sponsored a contest giving away a Lamborghini spo

### Statistics: probability that the sample mean selling price was more than \$110,000

Problem 1 The mean selling price of new homes in a city in 2010 was \$115,000. The population standard deviation was \$25,000. A random sample of 100 new home sales from this city was taken. A) What is the probability that the sample mean selling price was more than \$110,000? B) What is the probability that the sample m

### Statistics Probability Question and Bowser Bites Industries

Question 1 Consider a random variable, z, that has a standardized normal distribution. Determine the following probabilities: a. P(0 < z < 1.96) b. P(z > 1.645) c. P(1.28 < z < 2.33) d. P(-2 < z < 3) e. P(z > -1) Question 2 Bowser Bites Industries (BBI) sells large bags of dog food to warehouse clubs. BBI uses an au

### Statistics Probability: Length of a Typical Televised Football Game

Suppose the length of a typical televised football game, including all commercial timeouts, is normally distributed with a mean of 2.45 hours and standard deviation 0.37 hour. Consider a televised football game that begins at 2:00 in the afternoon. The next regularly scheduled broadcast is at 5:00. What is the probability t

### Probability based on normal distribution and CLT

If random samples, each with n = 9 scores, are selected from a normal population with &#61549; = 80 and &#61555; = 18, and the mean is calculated for each sample, then the average of all the sample means would be ____. A random sample of n = 4 scores is obtained from a normal population with &#61549; = 20 and &#61555; = 4. Wh

### Statistics

For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x. 1. Determine P (x = 4). a. 0.05 b. 0.10 c. 0.15 d. 0.20 2. Find P (x >= 4). a. 0.60 b. 0.45 c. 0.75 d. 0.55 3. What is P (2 < x <= 5)? a. 0.70

### Compose an email to the AIU: Discuss distribution of individuals by gender

See attached data file. Using attached data set compose an email to the head of the American Intellectual Union which discusses the following: Begin 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, etc. Be sure to inclu

### Statistical Analysis: Compose an Email Using AUI Data

See attached data file. 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, etc. B

### Probability Problems: Random Selection

An automobile dealer sells two brands of new cars. One, C, is primarily American in original; the other, G, is primarily Japanese. The dealer performs repair work under warranty for both brands. Each warranty job is classified according to the primary problem to be fixed. If there is more is more than one problem in a given job,

### Random sample for grill owners, number of television sets

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:

### Conditional Distribution of Point X

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

### Poisson Probability Problem

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

### Statistics: Probability density function, central limit theorem

See the attached file. If X1,X2,..., Xn, are (iid) , from a distribution with mean &#956; and variance &#963;^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) = &#956; Var(Xbar) = (&#963;^2)/n b

### Marginal Probability Distribution, independent variables, expected value

See attached file. Time spent by two clerks is defined by f(x,y) = { x+y if 0&#8804;x &#8804;1 ; 0&#8804;y&#8804;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"

### 9 Statistics questions: unusual sample mean, drug cure, vending machine, z scores

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

### Statistics

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

### Statistics Probability: Defective antennas on Nokia cell phones

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.

### Statistics Probability: Weston Materials mean hours to erect the Red Barn model.

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

### Normal Probability: Emloyee Dental Insurance at Shaver Manufacturing

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

### Statistics: Probability - Defective items in Shipment

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

### Probability Concepts

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

### Probability distribution Normal distribution.

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