3. Many manufacturers have quality control programs that include inspection ofincoming materials for defects. Suppose a computer manufacturer receives circuitboards in batches of five. Two boards are selected from each batch for inspection. Wecan represent possible outcomes of the selection process by pairs. For example, thepair (1, 2) represents the selection of boards 1 and 2 for inspection.a. List the ten different possible outcomes.b. Suppose that boards 1 and 2 are the only defective boards in a batch. Twoboards are to be chosen at random. Define X to be the number of defectiveboards observed among those inspected. Find the probability distribution of X.c. Let F(x) denote the cdf of X. First determine F(0) = P(X <0), F(1), and F(2);then obtain F(x) for all other x.

Answered: 3. Many manufacturers have quality…

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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9. A group of 50 single men were asked which dating apps they had on their phones. The follo data were collected: 33 of the men had the Tinder app. 30 of the men had the Coffee Meets Bagel app. 26 of the men had the Hinge app. 16 of the men had both the Tinder and Coffee Meets Bagel apps. 14 of the men had both Tinder and Hinge apps. 18 men had both Hinge and Coffee Meets Bagel apps. 7 men had all three apps on their phones. a) Represent this information in a Venn diagram: b) Calculate the number of single men who have none of these apps on their phone. c) How many single men only had Tinder on their phone? d) How many students own at most two of the apps?
2. Consider the foot length and foot width of six fermale grade 4 students in Morning Star Montessori School in 2006: Length of foot (cm) Y 20.9 Width of foot (cm) X 8.5 24 9 19.6 7.9 22.6 8.8 21 8.8 21.6 9.3 For the next five items, refer to the problem above, in the previous page. In addition to the female grade 4 students, below are some of the boys measurements: Width of foot (cm) Length of foot (cm) Y 8.4 8.8 9.7 9.8 8.9 9.7 22.4 23.4 22.5 23.2 23.1 23.7 6. What is the standard deviation of the X values (s.)?
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32)
6.2
2. Mobile phone operator TELE2 has at least 4 tariffs: Brivais(B), Savejis(S), Smart(SM), Zelts(Z). In 2019Y the proportion of clients for each tariff is: B=5%; S=50%; SM-15%; Z=30%. Possible changes from one type of tariff to another for the following year are the following: to B to S to SM to Z from B 5% 2% 1% 1% 1% from S 3% 1% from SM 5% 5% from Z 5% 4% 3% Find initial distribution, Transition matrix (stochastic matrix), stationary distribution and plot a graph for transition of one step. bain ic the following

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