The reading speed of second grade students in a large city is approximately normal, with a mean of 91 wpm and standard deviation of 10 wpm. (a) What is the probability a randomly selected student in the city will read more than 95 wpm? (b) What is the probability that a random sample of 11 second grade students from the ci
Choose an American driver at random and let the random variable X be the number of speeding tickets the driver has received in the last two years. The discrete probability distribution of X is shown. Tickets 0 1 2 3 4 5 Probability 0.16 0.32 0.25 0.12 0.09 0.06 (2) Verify the two main requirements that mak
In a recent survey, participants were asked which Apple products influenced them the most. ipod iphone ipad total Age under 20 70 100 130 300 Age 20-40 160 140 90 390 Age over 40
Of the members of a Boy Scout troop, 15% have received the first aid merit badge. If 40 boy scouts are selected at random, find the probability that four or more will have the first aid merit badge? A) 86.6% B) 81.3% C) 36.6% D) 31.3% A food snack manufacturer samples 9 bags of pretzels off the assembly line and weig
Z is the standard normal random variable that is, the normal random variable with mean 0 and standard deviation 1. Use the table values in your textbook to determine the following a. The probability that z is less than -2.12. b. The probability that z is greater than 1.57. c. The probability that z is between -1.84 and
The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.95 inches and a standard deviation of 0.75 inches. Show all work. (A) What percentage of the grapefruits in this orchard have diameters less than 6.6 inches? (B) What percentage of the grapefruits in this orchard are larger than 6.
I need some guidance or a template to use to help me with this project. Calculations would be helpful if not a template. This is the assignment: "Using our data set from Unit 1, compose a 3-page e-mail to the head of the American Intellectual Union, which includes the following: 1.Begin your e-mail to AIU by first provid
A certain law school claims that 75% of its graduates pass the state bar exam on their first attempt . . . keep in mind that these are lawyers, so the claims may not be true. If we assume that the claim is true, then if a sample of N=60 graduates is selected, find the probability that: a. 48% or more pass on the first attempt
Fifty-Four percent of a bank's credit card applications come from unmarried people. If s sample of N=150 applications is selected, find the probability that 90 or fewer are unmarried. (Remember continuity correction).
A pet food manufacturer uses an automatic process to fill packages, which have a nominal weight of 40 pounds. Supposed that the actual weight is a normally distributed variable, with a mean of 40.9 pounds, and a standard deviation of 0.5 pounds. a. What proportion of the individual bags contains less than 40 pounds? b. If a
At a factory that produces pistons for cars, Machine 1 produced 414 satisfactory pistons and 276 unsatisfactory pistons today. Machine 2 produced 420 satisfactory pistons and 180 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the
See attached file for format and formulas. Q4: 4 (+) Given the following contingency table: B B' A 10 30 A' 25 35 Find the following: a) A | B b) A' | B' c) A | B' Q4: 5 The manager of a large computer network has developed the following proba
Workers are subject to work-related injuries. One disorder, caused by strains to the hands and wrists, is called carpal tunnel syndrome. It strikes as many as 23,000 workers per year. The U.S. Labor Department estimates that the average cost of this disorder to employers and insurers is approximately $30,000 per injured worker.
Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement income. In a random sample of 120 households, what is the probability that greater than 20 households but less than 35 households receive a retirement income?
A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall reliability of the system?
The funds dispensed at the atm machine located near the checkout line at the krogers in union, kentucky, follow a normal probability distribution with a mean of $4,200 a day and a standard deviation of $720 a day. The machine is programmed to notify the local bank if the amount dispensed is very low ( less an $2,500) or very hig
According to accountemps inc. 48% of all executives believe that employees are most productive on Tuesdays. a random sample of 200 executives is taken for a study. a. what is the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 200? b. what is the probability that the
h-p is said to be the leading seller of pc's in the U.S WITH 27% share of the pc market. if a researcher selects 130 recent pc purchases, use the normal approximation to the binomial to find the probability that more than 39 bought a h-p computer
Problem 10-14 BMW is planning to launch a new sport utility vehicle (SUV), Initially it will have limited production for this model, with a total of only 20,000 units being produced for the year. King's BMW has been offered up to four of the SUV's for sale. King's estimates that the profit it earns from purchasing these SUV's
I am not sure how to compile the contingency table from probabilities given. Each yr ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the other cars have been categorized according to whether the car needs warranty - related repair (yes or no) and the country in which t
Many retail stores offer their own credit cards. At the time of the credit application the customer is given a 10 percent discount on the purchase. The time required for the credit application process follows a uniform distribution with the times ranging from 4 minutes to 10 minutes. a. What is the mean time for the applic
I need assistance with problems: 6.51, 6.52 and 6.53 in the attached document. Please use excel. 6.51 All the major stock market indexes posted heavy losses in 2008. The mean one year return for stocks in the S&P 500, a group of 500 very large companies, was -38.5%. The mean one-year return for the NASDAQ, a group of 3200
I need a very clear definition of the difference between probability and probability density with examples.
Thank you for your help on the other questions. Your work was easily understood. Here are two questions that I need help on. 1) LaDonna asks a question in class 4 days out of 5 and Jason asks a question in class 1 day out of 5. What is the probability that one of them will ask a question in class on any given day? (Coul
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a steel selected at random will be less than 29.75 inches long?
Statistics and probability distributions Include the intermediate steps of your calculation. Find the following values by using the Poisson tables in Appendix A. a. P (x = 6|lamda = 3.8) b. P (x > 7|lamda = 2.9) c. P (3 <= x <= 9|lamda = 4.2) d. P (x = 0|lamda = 1.9) e. P (x <= 6|lamda = 2.9) f. P (5 < x <= 8|lamda
A lobster is placed in a tank in which it is given the choice of four tunnels (a, b, c, or d) to travel through. At the opposite end of each tunnel is a cage housing 1 of four types of food. The experiment is conducted 7 separate times and the lobster chooses tunnel 'a' in 5 of the 7 trials. What is the probability that the
This is not an academic problem per say, but your website was recommended to me for figuring out the statistical significance of my niece turning 11 y/o on 11/11/11 (November 11, 2011) at 11:11 am. I presume that such a birthday can only occur once a century for November 11th to fall on the 11th year of a century ... but how
A toy company is conducting a research for two new exciting products (Zing-Go and Moto-bots). A survey was conducted using 150 children to determine how well each product was perceived by the group The data was organized in the contingency table shown below. Favorable Neutral Unfavorable Total Zing-Go 3
A multiple - choice test has 30 questions and each one has five possible answers, of which one is correct. If all answers were guesses, find the probability of getting exactly four correct answers. =