The extract of a plant native to Taiwan has been tested as a possible treatment forLeukemia. One of the chemical compounds produced from the plant was analyzed for a particularcollagen. The collagen amount was found to be normally distributed with a mean of 64 and standarddeviation of 9.9 grams per mililiter.(a) What is the probability that the amount of collagen is greater than 62 grams per mililiter?answer:(b) What is the probability that the amount of collagen is less than 81 grams per mililiter?answer:(c) What percentage of compounds formed from the extract of this plant fall within 2 standarddeviations of the mean?answer:%

Given that X~Normal(μ = 65 , ? = 9.9)

Answered: The extract of a plant native to Taiwan…

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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The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.3 grams per mililiter. (a) What is the probability that the amount of collagen is greater than 60 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 84 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer: %
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.) What is the probability that a randomly selected capsule contains less than 5.8 mg of vitamin E? What is the probability that a randomly selected capsule contains at least 6.4 mg of vitamin E?
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 55 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 55 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 1.05 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.73 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.73 pounds or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The acidity of human blood, measured on a pH scale, is a normal random variable with a mean of 7.4 and standard deviation of 0.17. Find the probability that the acidity of a person's blood has a pH greater than 7.5.
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total scores follow a normal distribution with a mean of ?=25.0and standard deviation of ?=6.4. What is the probability that the population scores are between 18.1 and 30.9?
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.92 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.92 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 64 and standard deviation of 6 grams per mililiter. (a) What is the probability that the amount of collagen is greater than 60 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 79 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 1 standard deviations of the mean? answer: %
The photoresist thickness of wafers in semiconductor manufacturing has a mean of 10.6 micrometers and a standard deviation of 1.3 micrometers. An engineer takes a sample of 50 wafers once a week and calculates the mean thickness of these wafers. If the mean of this sample is either less than 10.41 micrometers or greater than 10.79 micrometers, the engineer will conclude that the machine needs an adjustment. The probability that, based on a sample of 50 wafers, the engineer will conclude that the machine needs an adjustment is: O 0.6970 O 0.1091 O 0.3030 O 0.2522 O 0.1506
The diameter of a brand of ping-pong balls is approximately normally distributed with a mean of 1.5 inches and a standard deviation of 0.05 inches. A random sample of 25 ping-pong balls is selected. What is the probability that the sample mean will be between 1.48 and 1.52 inches?

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