A stockroom currently has 30 components of a certain type, of which 9 were provided by supplier 1, 7 by supplier 2, and 14 by supplier 3.Six of these are to be randomly selected for a particular assembly. Let X = the number of supplier 1's components selected, Y = the numberof supplier 2's components selected, and p(x, y) denote the joint pmf of X and Y.(a) What is p(2, 1)? [Hint: Each sample of size 6 is equally likely to be selected. Therefore,p(2, 1) = (number of outcomes with X = 2 and Y = 1)/(total number of outcomes). Now use the product rule for counting to obtain thenumerator and denominator.] (Round your answer to five decimal places.)Р(2, 1) %3D(b) Using the logic of part (a), obtain p(x, y). (This can be thought of as a multivariate hypergeometric distribution-sampling withoutreplacement from a finite population consisting of more than two categories. Round your answers to five decimal places.)p(x, y)2.3412Y 34

A discrete random variable is a variable whose values can be obtained by counting. Though, the…

Answered: A stockroom currently has 30 components…

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 new analytical method to detect pollutants (D) in water is being tested. This new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminants-organic pollutants (O), volatile solvents (V), and chlorinated compounds (C)-instead of having to use a single test for each pollutant. The makers of the test claim that it can detect high levels of organic pollutants with 99.7% accuracy, volatile solvents with 99.95% accuracy, and chlorinated components with 89.7% accuracy. If a pollutant is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. (a) What is the probability that the test will signal? (b) If the test signals, what is the probability that chlorinated compounds are present? Note: Use the notations in the brackets to…
1. Consider the following list of Xi, Y; values: Using the above data, determine if the following equations are true or false. (a) Σ 5X;Y; = 5Σ XY; = (b) Σ XY; = ΣΧ. ΣΥ (0) Σ* = 2x (d) Σ(Υ; + 3) = (ΣΥ;) + 3 X Y 1 2 2 4 3 6 (e) (ΣΥ;)2 = ΣΥ
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A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. P(x, y) 1 0 0.10 0.05 0.01 10.06 0.20 0.09 2 0.06 0.14 0.30 J What is P(X = 1 and Y = 1)? P(X = 1 and Y = 1) =| Compute P(Xs1 and Y s 1). P(X s1 and Ys 1) = Give a word description of the event {X + 0 and Y = 0}. O One hose is in use on both islands. O One hose is in use on one island. O At most one hose is in use at both islands. O At least one hose is in use at both island-
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You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved. As part of your study, you randomly select 3589 vehicle crashes and organize the resulting data as shown in the contigency table. At α=0.10, can you conclude that the type of crash depends on the type of vehicle? Complete parts (a) through (d). Vehicle Type of crash Car Pickup Sport utility Single-vehicle 866 323 340 Multiple-vehicle 1145 487 428 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: The type of crash and the type of vehicle are ▼ independent dependent . Ha: The type of crash and the type of vehicle are ▼ dependent independent . The ▼ alternative hypothesis null hypothesis is the claim.
If X(z) = In(z- 2), then what's x(k) а. -ak b. ak -ak /k d. others е. ak / k

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