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# Probability

### 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

### Probability Concepts

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

### Binomial probability: Professional baseball fans

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

### Probability of choosing a 1st grade boy over others

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.

### Statistics: Probabilities, Discrete or Random Variables, Sample, Distribution and Deviation

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

### Probability

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

### Probability: Relative Frequencies for one-way distances

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

### Probability

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

### Probability based on binomial distribution.

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

### Probability Distribution, Binomial, Random Samples, & z-scores

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

### Statistics: Polygraph Test Probability

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.

### Expected value & Binomial probability

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

### Probability: Hopelessly Romantic & Number of Passwords

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

### Probability

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

### Micromedia, venture capital, widget defect, job data

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

### Value of statistics in the workplace and contribution to success of an organization

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

### Statistics: Email to AIU analyzing job data being used in the workplace

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,

### Probability of grey and blue eyes in tribe E and tribe T

> 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

### Binomial distribution

According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that none of them enjoy drinking beer. Please show formula and work, and define X, n, p, q, etc.

### Problem of finding which population a sample came from

The following problem has it's basis in Quantum Mechanics: Part 1) There are two tribes the Eddas, a friendly tribe, and the Thors, a hostile tribe (ignore the Aeolians and the Boreans for this part of the problem) An anthropologist has to study one or the other of these two tribes after being dropped into the area where

### Binomial Probability Distribution

Assume a binomial probability distribution has µ=0.60 and n= 200 a. What is the mean and standard deviation? b. Is this a situation in which binomial probabilities can be approximated by the normal probability distribution? Explain c. What is the probability of 100 to 110 successes? d. What is the probability of 130 or

### Probability

During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes, what is the expected number of calls in one hour? What is the probability of three calls in five minutes? What is the probability of no calls in a five minute period?

### Statistics: observational studies, consistency, 4 rules of probability, types of events

1) Describe why observational studies are good for surveys and polls but not for showing causality 2) Define consistency as it related to standard deviation 3) List the 4 rules of probability- 4) Name the type of event probability can be applied to 5) List the 4 rules to gaming and explain why the house always wins

### Queuing Gamma Distribution

At a certain bank, the amount of time that a customer spends being served bya teller is an exponential random variable with mean 5 minutes. If there is a customer in service when you enter the bank, what is the probability that he or she will still be with the teller after an additional 4 minutes?

### Credit card usage

Each time that Ed charges his credit card, he omits the cents and records only the dollar value. If this month he has charged his credit card 20 times what can be said about the probability that the record shows at least \$15 less than the actual amount?

### Probability

Suppose that the demand for a company's product in weeks 1, 2, and 3 are each normally distributed and the mean demand during each of these three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of the demand during each of these three weeks is known to be 10, 5, and 15, respectively. It turns out that if we

### Statistics: Compare and interpret z-scores of two students; amount of cola in 12 oz can

Colleges typically use grade point average cutoffs to decide who graduates with honors and who is accepted into certain programs (such as teacher education, for example). Suppose at a particular college, a GPA of 3.0 is the cutoff for such a decision. The students in department A have a grade point average of 3.77 with a standar

### Statistics: test mean reaction time of female candidates for flight school

In a standard test for reaction time, female candidates for flight school are found to have times that are normally distributed with a mean of 0.65 seconds and a standard deviation of 0.15 seconds. If one candidate is randomly selected, find the probability that her reaction time is below the maximum allowable time of 1.00se