Probability of Defect
In a shipment of 40 television, 3 are defective. if 2 television sets are randomly selected and tested without replacement, what is the probability that both are defective?
Probability
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Method for Calculation of Probability Based on Z Score
Answer the questions about the specified normal distribution. a. The lifetime of ZZZ batteries are normally distributed with a mean of 265 hours and a standard deviation of 10 hours. Find the number of hours that represent the the 40th percentile. b. Scores on an English placement test are normally distributed with a m
Normal Probability: Probability Based on Z Score
Normal Distributions: Find Probabilities 1. The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.57? 2. The a loan officer rates applicants for credit. Ratings are
Amount of Sandwich Possibilities
For a special price, one may choose two kind of deli meat, two kind of cheese, and one type of bread. if there are eight choices of meat. five choices of cheese, and five choices of bread, how many different sandwiches with two meats and two cheeses on one type of bread will be possible?
Florida lottery combinations
In the Florida lottery, six numbers from 1 to 53 must be selected. to win the jackpot, the six numbers must match the draw numbers. how many combinations of six numbers are numbers are possible in the Florida lotto game?
Possible Outcomes Possible If Both Numbers Are Even
Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. How many outcomes are possible if both numbers are even?
Discrete Probability Distribution for Hand Simulations
8. Perform a hand simulation for the first three customers to arrive at a ticket booth to purchase a ticket. Discrete probability distributions for the two uncertain events are presented below in one minute intervals. Assume the ticket booth opens at 7:00 AM. Assume two digit numbers were selected from a table of random number
Probability in Recent Polls
In a recent poll, 58% of the surveyed said that they will take shorter trips to keep the vacation expenses down. If 3 people are randomly selected, what is the probility that all 3 will take shorter trips?
Probabilities of Life Insurance Purchase
In a typical month, an insurance agent presents life insurance plans to 40 potential customers. Historically, one in four such customers chooses to buy life insurance from this agent. Based on the relevant binomial distribution, answer the following questions; a) What is the probability that exactly 5 customers will buy life
Weekly Demand of a Fiat Car
The weekly demand for Fiat car sales follows a normal distribution with mean 50,000 cars and standard deviation 14,000 cars. a) There is a 1% chance that Fiat will sell more than what number of cars next year? b)What is the probability that Fiat will sell between 2.4 and 2.7 million cars during the next year? Please a
Using Excel and Probabilities to Analyze a Dataset
Using the attached data set, compose an email to the head of the American Intellectual Union (AIU) which discusses the following: - Begin your email to the AIU by first providing an overview of the database, i.e. a story. - Be sure to include information about how you would use the concept of probabilities to apply to prof
Probability Distributions for AIU job satisfaction database
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 by first providing an overview of the database, i.e. a story. Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring mo
Binomial Probability for Professional Baseball
1. 34% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Construct a binomial distribution using n=6 and p=0.34
Probablity questions
I would like some help with the following questions please: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show a
Sampling, Central Limit Theorem and Confidence Intervals Discussion Questions
Exercise 1 From Chapter 7 of Lind, submit your responses to problem #16 on pp. 237 The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the pro
Probability of Correct Test Answers
A True-False test has 20 questions with each having 2 possible answers with one correct answer. Assume a student answers every question. a. What is the probability of getting exactly 9 correct answers? b. What is the probability of getting less than 6 correct answers?
Probability, mean & variance
Please help with the following probability problems. Provide step by step calculations for each statistics question. The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12. a. What is the probability that exactly 10 seeds will germinate? b. What is the probability that 10 or mo
Random Variables
1. Seventy percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the aircraft that are not discovered do not have an emergency locator. Suppose a light aircraft has disappeared. a) Draw
Probability and Reasoning
Marge and Joe have five daughters. They decide to have another baby because they are sure the next one will be a boy (after all, what are the odds of having another girl!) 1. Is their reasoning accurate? Why or why not? 2. What is the probability of having six girls? 3. What is the probability of
Ford Super Duty F-750
Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution. The mean of the distribution was 60,000 miles and the standard deviation 2,000 miles. a. What percent of the Ford
An Internal Study by the Technology Services Department
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two emails per hour. Assume the arrival of these emails is approximated by the Poisson distribution. a. What is the probability Linda Lahey, company president, received exactly 1 email between 4 P.M. a
Probability from classical approach
You are dealt 2 cards successively without replacement from a shuffled deck of 52 cards. Find the probability that the first card is a king and the second card is a queen. Round your answer to the nearest 3 decimal places.
Binomial Probabilities
3.6-14. A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is N(21.37, 0.16). a) Let X denote the weight of a single mint selected at random from the production line. Find P(X > 22.07). b) Suppose that 15 mints are selected independently and weighed.
True Statement
Fred's Surfboard Shop makes surfboards by hand. The number of surfboards that Fred makes during a week depends on the wave conditions. Fred has estimated the following probabilities for surfboard production for the next week. Number of Surfboards 5 6 7 8 9 10 Probability 0.13 0.22 0.3 0.1 0.15 0.1 Let event A be that Fred pro
Probability
A certain medical test has the following characteristics. In case of a viral infection, the test shows positive with probability 0.8. Even if there is no viral infection, the test shows positive with probability 0.1. There is a 1/5 chance that any patient has a viral infection. If a patient tests positive on this test, what is t
Electric Razor Case Study: Using a Decision Tree to Solve a Problem
[See attachment for case study] a) Draw a decision tree to solve Jim's problem. Explain how you have calculated all the probabilities that you report on the tree. Define clearly each decision node, event node, decision that you can take, and possible outcome for the random variables. b) What is the best decision for Jim am
Uniform probability distribution
This problem is about the uniform probability distribution. The probability density f(x) = 0 up to point a then equals 1/(b-a) up to the point b. The lower limit is the point a and b is the upper limit of the x values. ---------------------------------------- I need help with the following questions: 1. Sketch in Exc
Probability problems
18 owned tents, 15 owned sleeping bags, 14 owned camping stoves, 6 owned both tents and camping stoves, and 10 owned both sleeping bags and camping stoves: a. What is the probability of owning a tent, owning a camping stove, owning a sleeping bag, camping stove, and owning both a sleeping bag and a camping stove? b. What is
Continuous distribution
1. Let the random variable X have the p.d.f. f(x)=2(1-x) for 0<x<1 and zero elsewhere. a. Sketch the graph b. Determine and sketch the graph of the distribution function of X c. find P(X) for the following intervals: i. [0,1/2] ii. [1/4,3/4] iii. X=3/4 iv. X>3/4 2. For each of the following functi
Probabilities and Standard Normal Random Variable
1. Given the Z is the standard normal random variable, compute the following probabilities. a) p(z=2) b) p(z<=1.5) c) P(z>1.8) 2. A video rental store checks out an average of 320 movies per day, with a standard deviation of 75 movies. considering a sample of 30 days of operation. a) what is the probability that th