A machine producing vitamin E capsules operates so that the actual amount of vitamin E in each capsule is normally distributed with a mean of 6 mg and a standard deviation of 0.1 mg. (You may need to use a table. Round your answers to four decimal places.)1. What is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin E? [ ]2. What is the probability that a randomly selected capsule contains at least 6.4 mg of vitamin E? [ ]

Answered: A machine producing vitamin E capsules…

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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The Normal model N(150,10) describes the distribution of scores on the LSAT, a standardized test required by most law schools. Which of the following questions asks for a probability, and which asks for a measurement? Identify the type of problem and then answer the given question. a. A law school applicant scored at the 60th percentile on the LSAT. What was the applicant's LSAT score? b. A law school applicant scored 164 on the LSAT. This applicant scored higher than what percentage of LSAT test takers? a. Identify the type of problem. Statement a asks for a What was the applicant's LSAT score? (Round to the nearest integer as needed.) b. Identify the type of problem. Statement b asks for a This applicant scored higher than what percentage of LSAT test takers? |% (Round to the nearest integer as needed.)
The lifetime risk of developing pancreatic cancer is about one in 78 (1.28%). Suppose we randomly sample 200 people. Let X = the number of people who will develop pancreatic cancer. b. Using the formulas, calculate the (i) mean and (ii) standard deviation of X. c. Use your calculator to find the probability that at most eight people develop pancreatic cancer d. Is it more likely that five or six people will develop pancreatic cancer? Justify your answer numerically.
Draw R digram also
Citizens use an average of 650 pounds of paper a year. Suppose that the distribution is normal with a population standard deviation of 153.5 pounds. Suppose you take a random sample of 25 Citizens. What is the probability that the mean pounds of paper used in a year are between 500 and 700 pounds
the heights of 18-year old men are approximately normally distributed with a mean of U= 68 inches and a standard deviation of O=3. what is the probability that an 18-year-old mean selected at random is less than 65 inches tall. a .8413 b .1587 c .1389 d .8765
The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.91 inch? a. 0.1915 b. 0.2785 c. 0.6170 d. 0.3185 e. 0.3085
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X.
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
ents this quarter: The Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested recently predicted a mean of 25.8 miles per gallon, with a standard deviation of 5.2 miles per gallon. Assume that a Normal model applies. Find the probability that a randomly selected automobile will average: 1. Less than 21 miles per gallon. 2. More than 15 miles per gallon. 3. Between 24 and 30 miles per gallon. ular paper, making sure to number each problem so I know what work goes with which problem. e sure to complete and sign the academic honesty statement for each assignment you complete this quarter. If you a nvas. Make sure to check your f6ler for legibility and completeness before unlnading
Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.9918 O B. 0.0082 O C. 0.2881 O D. 0.8989 ick to select your answer. DELL

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