Explore BrainMass


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?

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

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, 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

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

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


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

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

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,

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

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

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

Percent Probability

50% probability a customer will walk through the door needing customer service. What percent of the time would you expect less than 4 customers out of twenty will require customer service? What formula would you use to get this solution?

Probability problems

Looking for help on the following 3 questions: Births of Twins The probability that a birth will result in twins is .012. Assuming independence (perhaps not a valid assumption), what are the probabilities that out of 100 births in a hospital, there will be the following numbers of sets of twins? 48. At most 2 sets of twins

Probability Distributions and Expected Value Problems

Please help answer the following problem. An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having p.m.f. .9 x=0 f(x) = { (C/x) x=1,2,3,4,5,6 (where C is a constant) Determine C and the expected value the insurance compan

Finding Mean, Variance, PMF & Binomial Distribution: Example

1. A random variable X has a binomial distribution with mean 6 and variance 3.6. Find P(X = 4). 2. A certain type of mint has a label weight of 20.4 grams. Suppose that the probability is 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh more than 20.7 grams in a sample of eight mints se