3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2.Quality control will reject any box with fewer than 48 candies.a)What is the probability that a box selected at random contains exactly 51 pieces?b)What proportion of the boxes will quality control reject as containing too few candies?c)The company produces 135 000 boxes of candy a day. How many of these boxes will have at least48 candies but no more than 53?

Answered: Image /qna-images/answer/ef191a5c-ffb2-443e-b772-0cf7105d7e3b.jpg

Answered: 3. A company produces boxes of candy…

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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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
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?
18. About 3% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
5. According to a National Business Travel Association survey, the average salary of a travel management professional is $97,500. Assume that the standard deviation of such salaries is $30,000. Consider a random sample of 100 travel management professionals and let X represent the mean salary for the sample. What is the minimum amount of the top 5% of the mean salary X? ****** EM 1675
10.Multnomah county recorded the following probabilities for the number of accidents per day on a certain freeway for one month. The number of accidents per day and their corresponding probabilities are shown below. a.) Find the mean b.) find the variance c.) find standard deviation.
1. The average number of acres burned by forest and range fires in a large New Mexico county is 4,255 acres per year, with a standard deviation of 744 acres. The distribution of the number of acres burned is normal. a.) What is the probability that between 2,540 and 4,190 acres will be burned in any given year? b.)What number of burnt acres corresponds to the 38th percentile?
4. The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.59 and a standard deviation of $0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations. What's the approximate probability that the average price for 16 gas stations is over $4.69? а. b. Find the probability that the average price for 30 gas stations is less than $4.55. C. Sketch graphs for a and b
The manager of a pizza shop finds that the delivery time of pizza to customer follows a normal distribution with population mean of µ minutes and population standard deviation of 8 minutes. The manager randomly selects 18 orders and marks down the delivery time (in minutes) as below: 13 18 22 24 24 24 26 26 27 28 28 29 30 30 31 32 35 38 (a) Find the sample mean, median and mode of the above data. (b) Find the point estimate of u (c) Another survey will be conducted for the construction of the 99% confidence interval estimate of µ. Find the least number of orders to be selected so that the sampling error of the 99% confidence interval estimate of u is less than 2.5 minutes.
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
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