2. For the case of a thin copper wire, suppose that the number of flaws follows a Poisson distributionwith a mean of 2.5 flaws per millimeter.a. Determine the probability of exactly 2 flaws in a millimeter of wire.b. Determine the probability of at most 2 flaws in a millimeter of wire.C.Determine of at least 1 flaw in 2 millimeters of wire.

Given: Let the number of flaws be X X follows Poisson distribution Mean, λ = 2.5 per millimeter…

Answered: 2. For the case of a thin copper wire,…

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...

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5. The lengths of Atlantic croaker fish are normally distributed, with a mean of 10 inches and a standard deviation of 2 inches. An Atlantic croaker is randomly selected. Find the probability that the length of the fish is a. Less than 7 inches b. Between 7 and 15 inches C. More than 15 inches DELL
Suppose that the distribution of weights of New Zealand ham- sters is distributed normally with a mean of 63.5 grams and a standard deviation of 12.2 grams. 1. How would you characterize the smallest and the largest 5% of all weights? 2. If there are 1000 hamsters in the population, how many weigh at least 78 grams? 3. If 3 hamsters are selected at random, what is the probability that all of them weigh more than 65 grams?
Show the central limit theorem. Draw 30 observations from a uniform distribution with a minimum of 0 and a maximum of 1 and calculate the sample mean. Do this 1000 times and plot the distribution of the sample means. Does the distribution of sample means resemble a normal distribution?
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0.96. Sketch the region. Choose the correct graph below. О А. В. D. -0.96 0.96 0.96 0.96 -0.96
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
Q1. A. The number of orders that come into the sales office of ABC LTD each month is normally distributed with a mean of 600 and a standard deviation of 100. Approximately less than how many orders does the sales office receive such that the probability is 0.6 B. The number of orders that come into the sales office of DEF LTD each month is normally distributed with a mean of 500. Suppose the probability that the sales office receives more than 692 orders is approximately 0.1. Please calculate the standard deviation of the distribution of the orders. C. The number of orders that come into the sales office of XYZ LTD each month is normally distributed with a standard deviation of 200. Suppose the probability that the sales office receives less than 794 orders is approximately 0.15. Please calculate the mean of the distribution of the orders.
5. The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. Find the probability that the percent of fat calories a person consumes is more than 40. Sketch the associated graph/figure. Find the maximum number for the lower quarter of percent of fat calories. Sketch the graph, and write the probability statement (i.e. interpret calculated value).
Please
45. Suppöse the average height of NBA players is normally distributed with mean 200cm and standard deviation 8.89cm. What is the probabilíty that a randomly selected players will have a height between 190cm and 210cm? M= 200 a. 0.7288 b. 0.7372 8=8.89 C. 0.1314 d. 0.7698 e. 0.8686
5. The mean birth weight for babies born one month early is 2630 grams. Assume that the population has a standard deviation of 220 grams. Sketch the distribution of birth weights (in grams) of children born one month early. Calculate probability of a child born one month early with a birth weight between 2100 grams and 2900 grams. Find the weight which corresponds to the top 25% of birth weights for babies born one month early.
6. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a. Find the probability that a single can of Coke has at least 12.19 oz. b. Find the probability that a pack of 36 cans of Coke have a mean of at least 12.19 oz. c. Suppose you measured the cans of a random 36-pack and got a sample mean of 12.19 oz. Is it reasonable to assume that the actual population mean is 12.00 oz? Why or why not?
The weights of large eggs are normally distributed with mean 65 grams and standard deviation 4 grams. The weights of standard eggs are normally distributed with mean 50 grams and standard deviation 3 grams. 1. One large egg and one standard egg are chosen at random. Find the probability that the weight of the standard egg is more than 4/5 of the weight of the large egg. 2. Standard eggs are sold in packs of 12 while large eggs are sold in packs of 5. Find the probability that the weight of a pack of standard eggs differs from twice the weight of a pack of large eggs by at most 5 grams. This is Probability and Statistics

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