The data in tabulated form shown below are the number of children of family in each worker in afurniture company.WorkerNumber of BoysNumber of GirlsNumber of Children1. A3142. B2.6.3. С1234. D15. E6. F7. G8. H9. I415311342210. J1311. K1212. L4413. М1114. N1315. O316. P217. Q1318. R219. S2420. T2D.1. Count the number of boys and girls for each family. Based on randomly generated data,estimate the probabilities of a boy and a girl. Estimate the probabilities using the following formula: Sn b,probability of a boy =i=1total number of children in the dataprobability of a girli=1total number of children in the dataUse these estimated probabilities to answer items 2 to 5.2. Suppose they are all brothers and sisters in the company, compute the variance for counting thenumber of girls in this big family.3. What is the probability that in a family of 5 children, 3 will be boys?

Given information: Worker Number of boys Number of girls Number of children A 3 1 4 B 4 2 6…

Answered: The data in tabulated form shown below…

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 control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. b)Find the standard deviation of p. c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
calculate f (1,3) with linear interpolation
One operation of a mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw, and the resulting parts must be cut to be within 0.005 inch of the length specified by the automobile company. The measurement reported from a sample of 100 steel parts (stored in “Assignment 2 – Steel.xlsx” ) is the difference, in inches, between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first observation, -0.002, represents a steel part that is 0.002 inch shorter than the specified length. -0.0042 0.0057 0.0031 -0.0085 -0.0087 0.0083 0.0035 -0.0070 0.0040 0.0080 0.0094 -0.0036 -0.0067 0.0052 0.0100 -0.0010 0.0077 0.0010 -0.0060 -0.0025 -0.0022 -0.0097 0.0047 0.0060 0.0006 -0.0044 0.0015 0.0089 -0.0039 -0.0064 -0.0046 -0.0096 0.0021 -0.0071 -0.0020 0.0009 -0.0028 -0.0060 0.0001 -0.0057 -0.0062 0.0054 0.0061 0.0090 0.0004 0.0051…
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Compute the value of estimated r2
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
The mean monthly salaries paid to 100 employees of a company were tk. 5000. The meanmonthly salaries paid to male and female employees were tk. 5200 and tk. 4200 respectively.Determine the percentage of males and females employed by the company.
A statistician wants to determine if there is a difference in the fuel efficiency of cars between model years. To do this, he selects random makes and models of cars and compares the fuel efficiency in miles per gallon of the current model year and the previous model year. Suppose that data were collected for a random sample of 9 cars, where each difference is calculated by subtracting the fuel efficiency in miles per gallon of the previous model year from the fuel efficiency in miles per gallon of the current model year. Assume that the fuel efficiencies are normally distributed. What type of test is this hypothesis test? A. This is a two-tailed test because the alternative hypothesis is Ha:μd≠0. B. This is a right-tailed test because the alternative hypothesis is Ha:μd>0. C. This is a right-tailed test because the alternative hypothesis is Ha:μd<0. D. This is a left-tailed test because the alternative hypothesis is Ha:μd<0. E. This is a left-tailed…
An Ectopic Pregnancy is twice as likely to develop when the pregnant women is a smoker as it is when she's a nonsmoker. If 32 percent of women of childbearing age are smokers, what percentage of women having Ectopic Pregnancy are smokers?
Find variance of Y1
A marketing manager of a pizza parlor propose a campaign to promote online sales in a town during the time of lockdown. It is proposed that customers be compensated with RM7 e-Voucher if delivery time is greater than 20 minutes for addresses located within four kilometers radius from the parlor with minimum order of RM40. The manager collected delivery time of 30 orders out of the total of 180 orders in the month of January of 2021 and found that the delivery time has mean of 15 minutes. In the past, the standard deviation of delivery time for the delivery staff has been found 3 minutes. What is the probability that delivery time within the town is less than 10 minutes?

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