17. Each full carton of Grade A eggs consists of 1 randomly selected empty cardboard container and12 randomly selected eggs. The weights of such full cartons are approximately normallydistributed with a mean of 840 grams and a standard deviation of 7.9 grams.a.What is the probability that a randomly selected full carton of Grade A eggs will weighmore than 850 grams?The weights of the empty cardboard containers have a mean of 20 grams and a standarddeviation of 1.7 grams. It is reasonable to assume independence between the weights of theempty cardboard containers and the weights of the eggs. It is also reasonable to assumeindependence among the weights of the 12 eggs that are randomly selected for a full carton.Let the random variable X be the weight of a single randomly selected Grade A egg.b. What is the mean of X?C.What is the standard deviation of X?

The given data is as follows:Population mean, Population standard deviation,

Answered: 17. Each full carton of Grade A eggs…

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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Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
In a semiconductor manufacturing company, the actual size of System on a Chip (SoC) chips is normally distributed with a mean of 7 nanometers and a standard deviation of 0.7 nanometers. A random sample of 15 SoC chips is taken. i. The SoC chips with a size bigger than 7.5 nanometers are rejected. Find the percentage of chips that will be rejected. ii. If the probability of the rejected SoC chip is 1.5% of the sample. What will be the mean size of the sampling SoC chip, ?̅ ?
The number of sales that a car salesperson makes per month is normally distributed with mean 15 and standard deviation 4 . a. Find the probability that a randomly selected car salesperson will sell more than 14 cars this month.b. What is the average number of cars that a group of 25 sales people must sell to be in the 90thpercentile?
12. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 an d a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating between 200 and 275. Show work.
Suppose that the number of points scored in a game comes from a normal population with an average of 12 points and a standard deviation of 9 points. Estimate the chance that the average points scored in ten randomly selected games will exceed 14.2 points. A. 0.4034 B. 0.0073 C. 0.2198 D. 0.2297
2. The number of pages in a PDF document you create has is randomly distributed between 5 and 9 pages, where all values are equally likely. What are the mean and standard deviation of the number of pages in the document2
2. Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the amount of juice poured by this filling machine follows a normal distribution with a mean of 12.18 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains more than 12.23 ounces of juice.
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?
3. Assume the heights of students at Champlain College are normally distributed with a mean of 64.0 inchesand a standard deviation of 1.2 inches. Which of the following values best approximates the probabilityof randomly selecting a Champlain College studenttallerthan 62.2 inches?A. 0.0668B. 0.0359C. 0.9332D. 0.9641E. 1.0155
3. Suppose a store has a filling machine that fills 12 ounce bottles of juice. It is known that the amount of juice poured by this filling machine follows a normal distribution with a mean of 12.10 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains between 12.06 and 12.16 ounces
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?
III. SAMPLING AND SAMPLING DISTRIBUTIONS Assume that the systolic blood pressure of 30-year-old males is normally distributed, with an average of 122 mmHg and a standard deviation of 10 mmHg. а. b. Calculate the probability that the blood pressure of an individual male from this population will be between 118 and 124 mmHg.

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