The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have black hair ? (b) the probability that no more than 2 of their children have black hair ? (c) the probability that none of the children have black hair (d) wh
• "29% of men admitted they had cheated" means that total at the bottom of the column labeled 'Male cheating' becomes .29 x 203 = 59 • "compared with 18.5% of women" implies this percent of females had cheated, or the total in the 'Female cheating' column is .185 x 203 = 38 Female cheating Female not cheating Total Ma
A financial advising company has determined that the price-to-earnings ratios for 20 randomly selected publicly traded companies range between 0.9 and 2.9. Given that the price-to-earnings ratios are uniformly distributed, answer the following questions. What percent of price-to-earnings ratios are between 1.90 and 2.48?
In a large university, 15% of the students are female. If a random sample of twenty students is selected, a. what is the probability that the sample contains exactly four female students? b. what is the probability that the sample will contain no female students? c. what is the probability that the sample will contain
Sun Love grapefruit growers have determined that the diameters of their grapefruits are normally distrubuted with a mean of 4.5 inches and a standard deviation of 0.3 inches. A) What is the probability that a randomly selected grapefruit will have a diameter of at least 4.14 inches? B) What percentage of the grapefruits has
Please answer with each step to show how the problem was solved. Q1: A system consists of five identical components connected in parallel. Determine the reliability of the components such that the system reliabilty is 97%.
Q1: A string of christmas tree lights has 10 bulbs connected in series. The identical bulbs are assumed to have independant life times with a constant failure rate lamda. Find lamda such that the probability that the string survives 3 weeks is at least 99%.
Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic cards in making purchases. The results of the study provided the following probabilities. -The probability that a consumer uses plastic card when making a purchase is .37. -Given that the consumer uses a plastic card, there is a .19 probability
I need some help with the following statistical concepts: Now we are going to talk about continuous probability distributions. In a continuous probability distribution, the variable can have a value within a range. The most common continuous distribution is the standard normal distribution, select a continuous random varia
It is estimated that 0.5 percent of the 1200 callers per day to the Customer Service Department of Dell, Inc. will receive a message that the line is busy and be automatically transferred to a winning mode until a "representative is available to talk to them." The distribution of call arrivals approximates a Poisson distribution
From past experience, an airline has found the luggage weight for individual air travelers on its trans-Atlantic route to have a mean of 80 pounds and a standard deviation of 20 pounds. The plane is consistently fully booked and holds 100 passengers. The pilot insists on loading an extra 500 pounds of fuel whenever the tota
Binomial Probabilities These procedures show how to get binomial probabilities associated with n = 5 trials when the probability of a success on any given trial is π = 0.20. Procedure I: Individual or cumulative probabilities for x = 2 successes. Procedure II: Complete set of individual
Suppose the replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years. Show all work.
It has been reported that households in the West spend an annual average of $6050 for groceries. Assume a normal distri- bution with a standard deviation of $1500. a. What is the probability that a randomly selected Western household spends more than $6350 for groceries? b. Ho
See attached file - Formulas for Discrete Probability Distributions A discrete random variable can have the values, x = 3, x = 8, or x = 10, and the respective probabilities are 0.2, 0.7, and 0.1. Determine the mean, variance, and standard deviation of x. (6.5)
Case Study WTVX WTVX, Channel 6, is located in Eugene, Oregon, home of the University of Oregon's football team. The station was owned and operated by George Wilcox, a former Duck (University of Oregon football player). Although there were other television stations in Eugene, WTVX was the only station that had a weatherper
Complete the practice question in an excel spreadsheet and display the profit for each model in a bar chart. After 12 months in business, you discover that only 10 percent of people who walk through your doors will be buyers. Of those who buy vehicles, the breakdown of vehicle purchases is as follows: VW Golf 15% Saab
Survey of Employees A survey of employees at a large company found the following relative frequencies for the one-way distances they had to travel to arrive at work: Number of miles (one-way) A B C D E F < 5 6-10 11-15 16-20 21-30 > 31 Relative Frequency 0.38 0.25 0.16 0.09 0.07 0.
A computer specialty manufacturer has a two-person technical support staff who work independently of each other. In the past, Tom has been able to solve 75% of the problems he has handled, and Adam has been able to solve 95% of the problems he has handled. Incoming problemsm are randomly assigned to either Tom or Adam. If a
An investment counselor would like to meet with 12 of his clients on Monday, but he has time for only 8 appointments. How many different combinations of the clients could be considered for inclusion into his limited schedule for that day? NOTE: When using calculations, please use an Excel spreadsheet or submit the response so
There are 100 males and 120 females in the graduating class of a local high school. Thirty-five percent of the graduating males are on school sports teams, as are 30% of the graduating females. A local businessperson is going to donate $1,000 to the favorite charity of a randomly selected graduate. What is the probability th
Ten prominent citizens have been nominated for a community's "Citizen of the Year" award. First- and second-place trophies are awarded to the two persons receiving the highest and second-highest number of votes. In how many different ways can the trophies be awarded? (5.52) Note: Please use an Excel spreadsheet to s
Fire Fatalities If computations are used, please use an Excel worksheet to show them or state response in a form that can be transferred to a spreadsheet. Using the table below, how many victims were in the category described by: a. (A and A′)? b. (C or F)? c. (A′
It has been reported that about 35% of U.S. adults attended a sports event during the previous year. What are the odds that a randomly selected U.S. adult attended a sports event during the year? (5.8)
Given a normal distribution with a population mean of 100, a standard deviation of 10 and a sample size of n = 25, what is the probability that X is a. less than 95? b. between 95 and 97.5? c. above 102.2? d. There is a 65% chance that X is above what value? Time spent using e-mail per session is normally distributed,
You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a $1000 investment in each stock has, in your opinion, the following probability distribution: Returns: Probability Stock A Stock B 0.1 -$100
See the attached for data file. Compose an e-mail to the head of the American Intellectual Union, which includes the following: 1. Begin your e-mail to AIU by first providing an overview of the database, that is, a story about the characteristics that may include types of variables, etc. 2. Be sure to include informati
1. Infectious disease question: Evaluate the probabilities of obtaining k neutrophils out of 5 cells for k=0,1,2,3,4,5 where the probability that any one cell is a neutrophil is 0.6. Find the expected number and standard deviation of neutrophils of the 5 cells. 2. Pulmonary disease question: Compute the probability of obta
The average cost of a renting a compact size car in a major metropolitan area is R51.74 with a standard deviation of 7.48. Assume a normal distribution. If a sample of 20 cities is taken, what is the probability that the sample mean will fall between 47.74 and 55.74
See attached file for problem 2. 1. Can the problem title "basic probability" be solved using excel? If yes, please explain step-by-step on excel. Please also include any formulas and how you reach the conclusion. For this question, disregard part d. In 37 of the 59 years from 1950 through 2008, the S&P 500 finished highe