2. The mass of beads filled into a package is (continuous) uniformly distributed between 220 and226 grams.a. (10) Determine the mean and standard deviation of the mass of beads in a randomly chosenpackage.b. (15) What is the probability that a package is filled with less than the advertised target of 221grams?c. (15) What is the mass of beads that is exceeded by 95% of the packages?

Answered: Image /qna-images/answer/e2e9cdb1-cd10-4edd-8a74-ebd5172b2d6e.jpg

Answered: 2. The mass of beads filled into a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. For a normal distribution with a mean of μ = 60 and a standard deviation of 12, find each probability value requested. a. p(X > 57) b. p(48 > X < 72)
A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. C) A score that is 15 points above the mean. D) A score that is 30 points below the mean.
9. The weight of items produced by a machine is normally distributed with a mean of 8 kg and a standard deviation of 2 kg What is the probability that a randomly selected item will weigh less than 10 kg? A. 0.8413 B. None C. 0.1587 D. 0.500 E. 0.3413
Suppose the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818
A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size 100 is selected and Z is used to estimate . Use z table. a. What is the probability that the sample mean will be within +8 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within +10 of the population mean (to 4 decimals)?
4. Create a probability distribution for distribution of "number of heads" appearing after flipping three coins. Find its mean and its standard deviation. Desktop 54°F Rain to stop DELL F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert De & Be Y G H J K 立
A variable is normally distributed with mean 12 and standard deviation 4 a.) find the percentage of all possible values of the variable that lie between 4 and 16 b.) find the percentage of all possible values of the variable that exceed 6 c.)find the percentage of all possible values of the variables that are less than 2
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.
A distribution consists of three components with frequencies 45, 40 and 65, having the their mean 2, 2.5, and 2. Show that the mean of the combined distribution is 2.13 approximately.
D,E, and F
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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