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Tree diagram, probability in card selection, math instructors

2. A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 1, 3, or 5. Repetition of digits is NOT permitted. Each letter must be an A, B or C. - Use the counting principle to determine the number of points in the sample space. - Construct a tree diagram to represent this

Counting Principle, Tree Diagram, Probability, Venn Diagram

2. A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted. Use the counting principle to determine the number of points in the sample space. Construct a tree diagram to represent this situation Li

Probability function, distribution, value of random variable

Answer the following questions and show your work. 1. Test the following function to determine whether it is a probability function: P(x) = (x²+5)/80 ; for 1,2,3,4, or 5. 2. A small bag of M&M candies has the following assortment: red(10), blue(2), orange(5), brown(12), green(0), and yellow(8). Give the probability dis

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

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

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

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