A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 70 industrial firms. An inspector will visit 10 randomly selected firmsto check for violations of regulations.(a) If 28 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 oneregulation?O nb(x; 10, 0.4)O h(x; 10, 0.4)O h(x; 10, 28, 70)О Бx; 10, 28, 70)O b(x; 10, 0.4)nb(x; 10, 28,70)(b) If there are 700 firms in the area, of which 280 are in violation, approximate the pmf of part (a) by a simpler pmf.O nb(x; 10, 0.4)O b(x; 10, 0.4)O b(x; 10, 280, 700)O h(x; 10, 280, 700)O h(x; 10, 0.4)nb(x; 10, 280,700)(c) For X = the number that are in violation among the 10 visited out of 700 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) =Compute E(X) and V(X) for the approximating pmf.E(X) =V(X) =O o o

a) It is given that N=70, M=28 and n=10.

Answered: second-stage smog alert has been called…

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 mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 38 of his neighbors and finds that their taxes decreased (in dollars) as follows:113, 85, 109, 97, 117, 87, 105, 116, 84, 122, 118, 107, 108, 115, 100, 100, 107, 111, 101, 108, 71, 107, 80, 103, 86, 121, 117, 83, 113, 107, 124, 102, 78, 112, 96, 97, 88, 117The statistician assumes a population standard deviation of $14. Do you think the statistician should reject the mayor's claim? Why or why not?Step 1: State the hypothesis. = Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are ___ with distribution mean ____ and distribution standard deviation ______.Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.P(___ ___ ___ ) = P(___ ___ _____ )= _____
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