mean of 0.4 micrometer and standard deviation of 0.15 micrometer.The line width of for semiconductor manufacturing is assumed to be normally distributed with a(a) What is the probability that a line width is less than 0.64 micrometer?(b) What is the probability that the line width is between 0.45 and 0.69?

Followings are the Explanation of the question Use the Normal approximation method μ= 0.40 σ=0.15…

Answered: mean of 0.4 micrometer and standard…

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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cor A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.4 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At a = 0.04, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H. Choose the correct answer below. OB H: u#57.4 H µ= 57.4 O A. Ho: µ = 57.4 H3: µ#57.4 C. Ho: H= 55 H: µ# 55 D. H,: u2 55 H µ<55 OF H: µz57.4 H: u< 57.4 O E. Ho: u#55 H: u= 55 (b) Find the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical values are + O B. The critical value is
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviations of 16 liters. I What is the probability that daily production is less than 43 liters (round your answer to 4 decimals) CS Scanned with CamScanner
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ____, ________,_______ ~ . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †
The processing time for the robogate has a normal distribution with mean 21 sec and standard deviation 3 sec. Find the probability that the next operation of the robogate will take 27 sec or less. Click the icon to view the standard normal distribution table. The probability is
Suppose the masses of a batch of 2000 potatoes have a mean of 60 grams with a standard deviation of 8 grams. Assuming the weights have a normal distribution, predict the number of potatoes that would have masses between 45 and 55 grams. Sketch the distribution curve, shade the required probability, and show horizontal scales the population parameters and the z-scores. Solve the problem
The measurement of the distance to a certain object is accompanied by systematic and random errors. The systematic error equals 50 m. in the direction of decreasing distance. The random errors obey the normal distribution law with the mean-square deviation = 100 m. Find (1) the probability of measuring the distance with an error not exceeding 150 m. in absolute value, (2) the probability that the measured distance does not exceed the actual one.
Blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.5. Using chebyshev’s theorem what is the known percentage of women with platelet counts that are within 2 standard deviations of the mean?
The length of human pregnancies from conception to birth approximates a normal distribution with a mean of 266 days and a standard deviation of 16 days. What proportion of all pregnancies will last between 240 and 270 days. (b) 0.5471 (d) 0.6875 (a) 0.8674 (c) 0.9876 Answer:

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