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# Probability

### Age distribution in a city; votes for candidate hughes

7.31 Suppose the age distribution in a city is as follows: Under 18 (22%) 18-25 (18%) 26-50 (36%) 51-65 (10%) over 65 (14%) A researcher is conducting proportionate stratified random sampling with a sample size of 250. Approximately how many people should be sampled from each stratum? Do I use the z formula for sample pr

### Statistics: Probability, Tree Diagram

* Please see the attached file for the graph ** Sec 12.7 If the wheel is spun and each section is equally likely to stop under the pointer, determine the probability that the pointer lands on: 20. a number greater than 6, given that the color is red. 28. Mendel Revisited A pea plant must have exactly one of each of t

### Probabilities, Mean, Variance and Standard Deviation

1. You are warming up with the dice in the lobby of a casino before making your move to the casino floor. Suppose you have two regular 6-sided dice, with sides numbered from 1 to 6 on each die. What is the probability of rolling them both at once, and getting a sum of TEN? Probability = Round your final answer to two decimal p

### Probability of Dives and Sides

See the attached file. ONLY NEED ANSWERS NO WORK NEEDS TO BE SHOWN 1. Suppose that you have two regular 6-sided dice, with sides numbered from 1 to 6 on each die. What is the probability of rolling them both at once, and getting a sum of seven? Express your answer as a decimal and round your final answer to two decimal plac

### Binomial Probability Distribution - Practice Calculations

If your age is an even number, circle: j = 4 If your age is an odd number, circle: j = 3 In problem part A below, j is your number of flights. (my age is 37) Binomial Probability Distribution: P(x) = nCx Ï?**x (1 â?" Ï?)**(n-x) [6-3] Where: · C denotes a combination · n is the number of trials

### Normal probability distributions, proportions, percentages

1. A set of 50 data values has a mean of 44 and a variance of 16. I. Find the standard score (z) for a data value = 51. II. Find the probability of a data value < 51. 2. Find the area under the standard normal curve: I. to the right of z = -1.34 II. to the left of z = -1.34 3. Assume that the population of height

### Decision Analysis

The Lake Placid Town Council has decided to build a new community center to be used for conventions, concerts, and other public events, but considerable controversy surrounds the appropriate size. Many influential citizens want a large center that would be a showcase for the area, but the mayor feels that if demand does not supp

### Probabilities: Airline flight arrivals, owning mutual funds, slow moving product

Problem 5. An airline tracks data on its flight arrivals. Over the past six months, 65 flights on one route arrived early, 273 arrived on time, 218 were late, and 44 were cancelled ? a. What is the probability that a flight is early? On time? Late? Cancelled? ? b. Are these outcomes mutually exclusive? ? c. What is the pr

### Probability questions: rule of addition and multiplication, independent events

Please helps with the following problem. 1.) The special rule of addition is used to combine a.) events that total more than one b.) mutually exclusive events c.) events based on subjective probabilities d.) independent events 2) Events are independent if a.) we can count the possible outcomes b.) the pro

### Finding the Probability of Heart Disease

Please help with the following problem. Medical studies have shown that 10 out of 100 adults have heart disease. When a person with heart disease is given an EKG test, a 0.9 probability exists that the test will indicate the presence of heart disease. When a person without heart disease is given an EKG test, a 0.95 probabili

### 14 Statistics Problems

See the attached file for tables and graphs. 4.7 If you roll a die 40 times and 9 of the rolls result in a "5," what empirical probability was observed for the event "5"? 4.10 Webster Aquatic Center offers various levels of swimming lessons year-round. The March 2005 Monday and Wednesday evening lessons included instruc

### Discrete Probability Distribution

A company is interested in evaluating its current inspection procedure on shipments of 20 identical items. They take a sample of 5 and accept the shipment if no more than the allowed maximum of the samples are found to be defective. Those that do not pass are directed back to the vendor. What proportion of shipments that have

### Statistics Analysis of median incomes of families

The following table gives the median incomes of families by level of income and geographical region. East South Midwest West Totals < \$80,000/year 102 98 39 62 301 \$80,

### Binomia Distribution for Republican party: Votes in a Congressional district

The Republican party is interested in studying the number of Republicans that might vote in a particular Congressional district. Assume that the number of voters is binomially distributed by party affiliation (either Republican or not Republican). If ten people show up at the polls, determine the following: Binomial distri

### Multiple Probability Problems

1. In a certain location of downtown Baltimore, it costs \$7 per day to park at parking lots. An illegally parked car, if caught, will be fined \$25, and the chance of being caught is 60%. If money is the only concern of a citizen who must park in this location, should he park at a lot or park illegally? 2. A motorist encounter

### Statistics: Talk time on a cell phone and battery life

Talk Time on a Cell Phone: Suppose the 'talk time' in digital mode on a Motorola Timeport P8160 is normally distributed with mean 324 minutes and standard deviation 24 minutes. (a) What percent of the time will a fully charged battery last at least 330 minutes? (b) What is the probability that a random sample of n = 15 batt

### Statistics: Probability of wearing glasses if over 60; waiting times; failure rate on test

Please see the formula sheet and standard normal distribution table to be used. Only use a scientific or graphing calculator (Excel does not help me) and please show all working out. Question 8 A recent study showed that 75% of all people over 60 years of age wear eye glasses. If a random sample of five persons over the

### Statistics: Analyze random sample of 1000 voters for income level to political party

Please find the attached question. Also, please see the formula sheet and standard normal distribution table to be used. Only use a scientific or graphing calculator (Excel does not help me) and please show all working out. Question 5 A random sample of 1000 voters was cross-classified according to income level an

### 5 Statistics probability problems: defective parts, defaulted payments, occurrences

Two percent of the parts from a production process are defective. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts? Four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected.

### Five reasons for sampling; use of descriptive statistics; verbal SAT score for athletes

Please see attached files. Please Include: The page number from the attached pdf (Chapter 8) where the appropriate formula or guidance is located on how to solve the problem. The steps involved in reaching the solution. The solution. 1 The Lind text lists 5 reasons f

### Standard Normal or Z score for finding the probability

Yashchin (1995) discusses a process for the chemical etching of sillicon wafer used in integrated circuits. This process etches the layer of silicon dioxide until the layer of mental beneath is reached. This company moniters the thickness of the silicon oxide layer because thicker layers require longer etching times. Historicall

### Statistics terms: Trial, outcome, success, independent, probability, logic

1. Statisticians use terms like trial, outcome and success in a particular way in reference to probability. What do each of these three terms mean in this context? 2. How is the term independent used by Statisticians? 3. On a game show, eight people have won the grand prize and a total of 266 people have completed. Es

### Difference in wording of a percentage questions for Pentax users

I don't understand what the difference in the wording is asking for between these three questions on percentages. To me it appears that two are asking the same question. Please answer the questions and explain how the wording differentiates what is being asked. Female Male Total Sony Cyber Shot 73 59 132 Koda

### Probability of nonconforming apple juice containers on Machine I and II

A well known apple juice production company maintains records concerning the number of unacceptable containers of apple juice obtained from the filling and capping machines. Based on past data, the probability that a container came from machine I and was nonconforming is 0.03 and the probability that a container came from machi

### Algebra Statistics: probability, code combinations, 3 digit passwords, nursing majors

Week 3 Stats Quiz 1. The table below shows the results of a survey in which 146 families were asked if they own a computer and if they will be taking summer vacation this year... 2. Outside a home, there is an 8-key keypad with letters A, B, C, D, E, F, G and H that can be used to open the garage if the correct eight-letter co

### Probability of patient surviving from disease

1. The probability that a patient recovers from a disease is 63%. What is the probability that: A) 2 out of 3 patients in a group with the disease will survive? B) Probability that all 3 will survive? Answers: Just show me how to get there. A) 44.1% B) 25% 2. There are 3 consulting firms that have the following

### Example Statistics Problems

1. A study of a court system produced the following results: Note: G= guilty , G' = not guilty , J= judged guilty , J'= judged not guilty 80% of guilty (G) judged guilty (J) 93% of innocent (G') judged innocent (J') 5% innocent (G') judged guilty (J) 77% guilty (G) A) Find probability judged guilty (means find P(J

### Find the standard deviation of the distribution

A marketing poll revealed that 45% of Americans say they that they have dinner regularly as a family. You randomly choose 10 American families and ask if they regularly have dinner together as a family. 1. Does this situation meet the binomial requirements? Why or why not? Address the four characteristics in the Key Points.

### Probability of real estate agent success; probability of fire truck B arriving in 10 minutes

1. A real estate agent is taking potential buyers to look at 7 houses for sale. She has a key for each house, but she brough only 4 of the keys with her. Not all of the houses are locked. In fact, 25% are not locked. She has taken the potential buyers to the first house and will try to get them through the door. What is the