The number of surface flaws in gypsum board panels used in the ceiling of a medium cost housing has a Poisson distribution with a mean of 0.005 flaw per square foot of gypsum board panel. Assume one housing’s ceiling contains 100 square feet of gypsum board panel. What is the probability that there are no surface flaws in the housing’s ceiling? a. 0.6560 b. 0.6065 c. 0.3935 d. 0.3539

The number of surface flaws in gypsum board panels used in the ceiling of a medium cost housing has a Poisson distribution with a mean of 0.005 flaw per square foot of gypsum board panel. Assume one housing’s ceiling contains 100 square feet of gypsum board panel. What is the probability that there are no surface flaws in the housing’s ceiling? a. 0.6560 b. 0.6065 c. 0.3935 d. 0.3539

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The scores of a reference population on the Wechsler Intelligence Scale for children(WISC) are normally distributed with mean 100, and standard deviation 15. If a child is selected at random, find probability that he or she has score between 100 and 120. Select one: O a. 0.4187 O b. 0.5012 O c. 0.618 O d. 0.4082
An engineer is going to redesign an ejection seat for the airplane. The seat was designed for pilots weighing between 150 and 191 pounds. The new population of pilots has normally distributed weights with a mean of 158 pounds and a standard deviation or 31.1 pounds. a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 191 lb. b. If 38 pilots are randomly selected, find the probability that their mean weight is between 150 lb and 191 lb. what is the approximate probability? c. When redesigning the ejection seat, which probability is more relevant? part b because the seat performance for a single pilot is more important part b because the seat performance for a sample of pilots is more important Part a because the seat performance for a single pilot is more important part a because the seat performance for a sample of pilots is more important. please show solving steps and if possible tell me how to also get these answers through excel…
The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 48 inches (Current Results website, October 27, 2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. a. Show the probability distribution of the sample mean annual rainfall for California. This is a normal probability distribution with and (to decimals). b. What is the probability that the sample mean is within inch of the population mean for California? (to decimals) c. What is the probability that the sample mean is within inch of the population mean for New York? (to decimals) d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within inch of the population mean greater? Why? The probability of being within inch is greater because the sample size is .
A population of heights is normally distributed with a mean of 68.8 inches and a standard deviation of 4.6 inches. Suppose a person is randomly selected from this population. What is the probability that the person's height is greater than 71 inches? A. 0.16 B. 0.32 C. 0.68 D. 0.84
Which normal distribution curve is the most skewed, according to the following skewness: A B C 0.4 -0.4 0.2
The football coach randomly selected fifteen players and timed how long each player took to perform a certain drill. The times (in minutes) were: 3.5, 3.3, 3.2, 4.7, 4.4, 3.5, 3.9, 4.5, 4.8, 5.2, 5.4, 4.0, 4.3, 4.1, 5.1 (a) Show that this data approximates a normal distribution. (b) Determine a 90% confidence interval for the mean time for all players.
We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?
When parking a car in a downtown parking lot, drivers pay according to the number of hours or fraction thereof. The probability distribution of the number of hours cars are parked has been estimated as follows: X 12 3 4 5 6 7 8 P(X) 0.23 0.149 0.13 0.08 0.057 0.022 0.026 0.306 A. Mean = B. Standard Deviation = The cost of parking is 2.5 dollars per hour. Calculate the mean and standard deviation of the amount of revenue each car generates. A. Mean = B. Standard Deviation =
The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)
c. Vehicle speeds at a highway location have a normal distribution with mean u = 65 mph and standard deviation o = 5 mph. Find the probability that a randomly selected vehicle speed is greater than 73 mph.
Sixty-two percent of seniors attend a particular school in a school district. Assume 500 seniors within this school district are sampled. a. Can this distribution be approximated using the Normal model? Explain. b. Use the Normal approximation to estimate the probability that at least 290 senior students are enrolled at this particular school. c. Use the Normal model to estimate the probability that between 200 and 300 senior students who are sampled are enrolled at this particular school.
A production line in a factory, assembles laptops. A random sample of assembly time of 36 laptops has been drawn from this factory. Suppose, the population distribution has a mean assembly time of 25 minutes and standard deviation 6 minutes. What is the probability that a sample mean is 26 minutes? Select one: a. 0.0 b. =P(Z>1) c. =P(Z=0) d. =P(Z<1) e. None of the others