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Probability

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

Probability Distributions

For the given p.d.f.'s Find the m.g.f. M(t) Find the values of mean and variance Determine and Sketch the graph of the distribution function of X. Sketch the graph of the p.d.f. of X. calculate the value of c so that f(x) is a p.d.f.

Quantitative Methods: Calculations for Probability

The owner of Western Clothing Company has determined that the company must sell 670 pairs of denim jeans each month to break even (i.e., to reach the point where total revenue equals total cost). The company's marketing department has estimated that monthly demand is normally distributed, with a mean of 805 pairs of jeans and a

Quantitative Methods and Quality Assessment

The quality control process at a manufacturing plant requires that each lot of finished units be sampled for defective items. Twenty units from each lot are inspected. If five or more defective units are found, the lot is rejected. If a lot is known to contain 10% defective items, what is the probability that the lot will be rej

Quantitatitve Methods

3. Downhill Ski Resort in Colorado has accumulated information from records of the past 30 winters regarding the measurable snowfall. This information is as follows: Snowfall (in.).......Frequency 0-19..........................2 20-29........................7 30-39........................8 40-49........................8

Describe correlational research

Share the practical applications of the study from the Unit 2 Individual Project. How would the results of this survey be used in the workplace? Briefly describe correlational research. Name a variable from this study and one from the workplace that might prove to provide a correlational relationship and explain why you would

Statistical Analysis of Damaged Components

Please provide detailed answers and easy to understand explanations for questions below. I have low level background in stats. Any internet references would be helpful for my understanding. A box contains 10 components of which 4 are damaged. You select 3 components from the box, one at a time without replacement (that is,

Discrete Probability Distribution Characteristics: Example

Please summarize the differences between the following and when they are used or what they are applied to: 1. Hypergeometric Distribution 2. Poisson Distribution 3. Binomial Distribution 4. Negative Binomial Distribution 5. Geometric Distribution 6. Uniform Distribution

Probability Questions

1. Who was the inventor of the correlation? a. Sigmund Freud b. Charles Darwin c. Francis Galton d. Jacob Cohen 2. Who was the founder of psychoanalysis? a. Sigmund Freud b. Charles Darwin c. Francis Galton d. Jacob Cohen 3. Which of the following is the easier way to describe data? a. Average b. Correlation c.

Poisson Distribution

A baseball team loses $10,000 for each consecutive day it rains, Say X, the number of consecutive days it rains at the beginning of the season, has a Poisson distribution with mean 0.2. What is the expected loss before the opening game? An airline always overbooks if possible. A particular plane has 95 seats on a flight in wh

Poisson Distribution

Let X have a Poisson distribution with a mean of 4. Find a) P(2<X<5) b) P(X>3) c) P(X<3) Let X have a Poisson distribution with a variance of 4. Find P(X=2) Customers arrive at a travel agency at a mean rate of 11 per hour. Assuming that the number of arrivals per hour has a Poisson distribution, give the probability th

Judge Verdicts

1- Suppose that a judge's decision follows binomial distribution and he's incorrect verdict is 10% of the times. a) Determine the probability that in the next 10 sections he will have two incorrect verdicts. Show calculations, use table.

Probability Assisted Strikes

Please see the attachment for fully formatted problems. 1- The assistants have .50 probability of going on strike, .40 the pilots and .15 that both go on strike. a) Determine of the probability the pilots go on strikes and if the assistant will also. Indicate the probability and that condition 2- Probabili

Cereal Box Problem/Probability

2.5-15. One of four different prizes was randomly put into each box of a cereal. If a family decided to buy this cereal until it obtained at least one of each of the four different prizes, what is the expected number of boxes of cereal that must be purchased? Attachment contains 2 more problems.

Probabilities and Moment Generating Function

2.5-8. Show that 63/512 is the probability that the fifth head is observed on the tenth independent flip of an unbiased coin. 2.5-9. An excellent free-throw shooter attempts several free throws until she misses. a) If p= 0.9 is her probability of making a free throw, what is the probability of having the first miss on the 13th

Binomial distribution questions.

The questions are also found in the attached Word document, with the original formatting. In exercise 15, it supposes that a procedure produces a binomial distribution with a repeated test n times. It uses a-1 table to calculate the probability of x successes, given probability p of success in a given test. 15- n=3, x

Normal distribution to approximate the desired probability

Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time. Find the probability that among the 60 trains 38 or fewer arrive on time. Based on the result, does it seem plausible that the on time rate of 74% could be correct?