A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 90 industrial firms. Aninspector will visit 20 randomly selected firms to check for violations of regulations.(a) If 27 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by theinspector that are in violation of at least one regulation?O h(x; 20, 0.3)O nb(x; 20, 0.3)О Бx; 20, 27, 90)О Бix; 20, 0.3)O h(x; 20, 27, 90)nb(x; 20, 27, 90)(b) If there are 900 firms in the area, of which 270 are in violation, approximate the pmf of part (a) by a simpler pmf.O b(x; 20, 0.3)O b(x; 20, 270, 900)O h(x; 20, 0.3)O h(x; 20, 270o, 900)O nb(x; 20, 0.3)O nb(x; 20, 270, 900)(c) For X = the number that are in violation among the 20 visited out of 900 firms, compute E(X) and V(X) both for theexact pmf and the approximating pmf in part (b). (Round your answers to two decimal places.)Compute E(X) and V(X) for the exact pmf.E(X) =V(X) =Compute E(X) and V(X) for the approximating pmf.E(X) =V(X) =

Answered: A second-stage smog alert has been…

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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A bag of candy contains 5 different types of colored candies; red, green, blue, yellow, and orange. According to the manufacturer, bags should contain an equal number of each color. Students in a statistics class decided to use a chi-square procedure to test the manufacturer’s claim. They opened a bag of candy and recorded the number of candies of each color. The results are shown in the following table. Red Green Blue Yellow Orange 17 24 20 25 14 Which color contributes most to the chi-square test statistic? Red A Green B Blue C Yellow D Orange
Let w = Ax - By where A and B are rx q an rxp matrices of known constants and y and x are random vectors. a) find uw and Ew. b) if (y, x)' is jointly multivariate normal, use the mgf technique to find the distribution of w
The National Safety Board wants to determine the effect of seat belt use on saving lives. One study showed data on children under the age of 5 who were involved in car accidents in which at least one fatality occurred. Below is the table: X1 Survivors (0) Fatalities (1) Total No belt (0) Adult belt (1) Child seat (2) 1129 509 1638 X2 432 73 505 733 139 872 Total 2294 721 3015 Answer in 2 decimal places. a) Determine the probability that a child will be in a child seat. b) Determine the probability that X1 = 0 given X2 = 0 c) What is the probability of X1 = 1 given X2 = 0?
A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 80 industrial firms. An inspector will visit 20 randomly selected firms to check for violations of regulations. (a) If 32 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation? O nb(x; 20, 32, 80) O h(x; 20, 32, 80) Onb(x; 20, 0.4) O h(x; 20, 0.4) Ob(x; 20, 0.4) Ob(x; 20, 32, 80) (b) If there are 800 firms in the area, of which 320 are in violation, approximate the pmf of part (a) by a simpler pmf. O h(x; 20, 0.4) O b(x; 20, 0.4) O h(x; 20, 320, 800) Onb(x; 20, 0.4) Onb(x; 20, 320, 800) O b(x; 20, 320, 800) (c) For X = the number that are in violation among the 20 visited out of 800 firms, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b). (Round your answers to two decimal places.) Compute E(X) and V(X) for the exact pmf. E(X) = V(X) =…
Can someone please explain it to me ASAP??!!!
. A survey was conducted in respect of marital status and success in examination. Out of 2,000 persons who appeared for an examination, 80% of them were boys, and the rest were girls. Among 300 married boys 140 were successful. 1100 boys were successful among unmarried boys. In respect of 100 married girls 40 were successful, 200 unmarried girls were successful. Construct two separate nine-square tables, and find out the Yule's Coefficient of Association to discuss the association between marita! and passing of examination,
An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…
A certain stimulus administered to each of the 12 patients resulted in the following increase of blood pressure:5, 2, 8, -1, 3, 0, -2, 1, 5, 0, 4 and 6Can it be concluded that the stimulus will, in general, be accompanied by an increase in blood pressure?
A researcher is interested in the relationship between birth order and personality (outgoing versus reserved). A sample of n = 100 people is obtained, all of whom grew up in families as one of three children. Each person is given a personality test, and the researcher also records the person’s birth-order position (1st born, 2nd, or 3rd). The frequencies from this study are shown in the following table. On the basis of these data, can the researcher conclude that there is a significant relation between birth order and personality? Test at the .05 level of significance. 1st 2nd 3rd Outgoing 13 31 16 Reserved 17 19 4
Example 9.31 In a certain locality, half of the households is known to use a particular brand of soap. In a household survey, sample of 10 households are allotted to each investigator and 2048 investigators are appointed for the survey. How many investigators are likely to report: (i) 3 users; (ii) not more than 3 users; and (iii) at least 4 users?

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