1. An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size = 225. a. What is the probability that the sample mean will fall within $800 of the population mean? b. What is the probability that the
An eight-sided die, numbered 1-8, is rolled. Find the probability that the roll results in an even number or a number greater than six
The probability is 1 in 4,000,000 that a single auto trip in the U.S. will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) what is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence
I cannot prove the solution given for the following Conditional Joint Uniform Distribution. I have a fairly detailed answer provided by my professor, but I cannot do the Integration to prove. Could you please provide a detailed step by step integration to backup the given answer. I am sure I am missing a basic either Uniform
In a certain binomial distribution, π = 0.20 and n = 30. In using the normal approximation, a. What are the mean and standard deviation of the corresponding normal distribution? b. If x = the number of "success" among the 30 observation, determine the following: P(x = 5), P(4 ≤ x ≤ 7), P(1 ≤ x ≤
My youngest brother used to own a cafe in Calgary and I visited him frequently for free meals. One day, Indiana Jones rushed in and wanted to order two dozen roasted chickens. But there was a catch. He insisted that all the chickens should be heavier than 5.5 lbs, or else my brother would face very serious consequences.
A software company finds that the average number of errors in its software per 1000 lines of code is 4 with standard deviation equal to 0.5. Use the 68-95-99.7 rule to calculate the following values: a)Almost all (99.7%) 1000 lines of code contain a number of errors that varies in what range of values? b)The percentage of
It has been estimated that 17.0% of mutual fund shareholder are retired persons. Assuming the population proportion to be π = 0.17 and that a simple random sample of 400 shareholders ha been selected: a. What is the expected value of p = the proportion of those in the sample who are retired? b. What is the standard error
Using the standard normal table, find the following probabilities associated with z: a. P(0.00 ≤ z ≤ 1.25) b. P(-1.25 ≤ z ≤ 0.00) c. P(-1.25 ≤ z ≤ 1.25) Using the standard normal table, find the following probabilities associated with z: a. P (-0.36 ≤ z ≤ 0.00) b. P(z ≤ -0.36) c. P(z ≥ -0.43)
Please help with the following problem involving statistics and probability. Air America is considering a new policy of booking as many as 400 persons on a airplane that can seat only 350. (Past studies have revealed that only 85% of the booked passengers actually arrive for the flight.) Estimate the probability that if Ai
A contractor must pay a $40,000 penalty if construction of an expensive home requires more than 16 weeks. He will receive a bonus of $10,000.00 if the home is completed within 8 weeks. Based on experience with the type of project, the contractor feels there is a 0.2 chance the home will require more than 16 weeks for completion,
1. A city law-enforcement official has stated that 20% of the items sold by pawn shops within the city have been stolen. Ralph has just purchased 4 items from on of the city's pawn shops. Assuming that the official is correct, and for x = the number of Ralph's purchases that have been stolen, determine the following: a. P(x
According to CNN/USA Today poll approximately 70% of Americans believe the IRS abuses its power. Let X equal the number of people who believe the IRS abuses its power in a sample of n=25 Americans. Assuming that the poll results are still valid , find the probability that: a) X is at least 13 b) X is at most 11 c) x is equa
Please answer the following questions in an organized manner and include an explanation of how the answer was obtained. Please include them in a Excel or Word doc. 1. Which of the following variables are best thought of as continuous. 2. According to records, the amount of precipitation in a certain city on a November day.
Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have head breadths that are normally distributed with a mean of 6 in. and a standard deviation of 1.0 in. (based on anthropometric survey from Gordon, Churchill, et al.). a. If one male is randomly selected, find the probability that his
I am planning on building an airport. There are only two parcels, labeled A and B on which the airport could feasibly be built. A corp. knows that once a parcel is chosen the cost of land near the airport will go up so they are considering buying land for an airport hotel adjacent to one of both of these parcels now before a sit
1. 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? 2. The U.S. Department of Labor has reported that 30% of the 2.1 million mathematical
A survey of employees at a large company found that following relative frequencies for the one-way distances they had to travel to arrive at work... Please see the attached file.
A. If a die is rolled one time, classical probability would indicate that the probability of "two" should be 1/6. If the die is rolled 60 times and comes up "two" only 9 times, does this suggest that the die is "loaded"? Why or why not? b. if has been reported that about 35% of U.S. Adults attended a sports event during the p
3.39 If the range of X is the set {0,1,2,3,4} and P(X = x) = 0.2 determine the mean and variance of the random variable. 3.47 The range of the random variable X is [0,1,2,3,x], where x is unknown. If each value is equally likely and the mean of X is 6, determine x. 3.49 The space shuttle flight control system called PASS
1). You are tossing a die that has probability of 1/6 of coming up 1 on each toss. Tosses are independent. We are interested in how long we must wait to get the first 1. (a). The probability of a 1 on the first toss is 1/6. What is the probability that the first toss is not a 1 and the second toss is a 1? (b). What is the pr
Please provide a solution for the following problem: Let Y denote a random variable with probability density function given by f(y) = (1/2)e ^-|y| , -∞ < y < ∞ Find the moment-generating function of Y and use it to find E(Y). Thanks for your assistance.
Pam Beesly, the CEO's Administrative Assistant, has worked for Mr. Rump for a little over one year. She was originally hired by the Chief Operations Officer, Mr. Halpert, as his personal secretary but when the opening for the new assistant to the CEO became available (his last one, Marla, had to leave suddenly due to personal p
Chief of Bruin Consulting Engineering Division, Dr. Dil Bert, is in charge of and overseeing the production of the company's DVDs. The DVDs are used to record the company's PSAs and then distributed to the local public access channels. Unfortunately, the Engineering Division's quality control is not up to the standards that th
Mr. Arthur Van De Lay, not only the company's Chief Information Officer, but also the reigning mid-west "Rock, Paper, Scissors" champion, has bid on two eco-friendly projects. Project "A" is a recycling of metals contract with the town of Bellevue, NE, and project "B" is the toxic clean up contract for Omaha, NE, city parks aft
Please see the attached file. 1) The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A denote the event {a, b, c} and B denote the event {c, d, e}. Determine the following: a) P(A) b) P(B) c) P(A') d) P(A U B) e) P(A n B) 2) If the last digit
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as affirmative action) and medical students admitted through regular criteria. It was found that the graduation rate was 94% for medical students admitted through special programs (based
Determining Whether a Jury Selection Process Is Biased Assume that 12 jurors are randomly selected from a population in which 80% of the people are Mexican-Americans. Refer to Table 5-1 and find the indicated probability. a. Using the probability values in Table 5.1, find the probability value that should be used for determi
In this exercise, determine whether a probability distribution is given. In the case where a probability distribution is not described, identify the requirements that are not satisfied. In the case where a probability distribution is described, find its means and standard deviation. Mortality Study For a group of four men,
Mean time between failures (MTBF) of 1200 operating hours. A mechanic wishes to know, "What is the probability that a particular engine may actually reach 1950 operating hours before failing?" As the quality engineer with responsibility for this particular part, what do you calculate for the answer to the question? Show the