Each week, the three programers sharing office 1X at company StartLink can participate in an online inside competition where participants are sellected at random, but bycertain criteria related to their computing expertize. As such, in any given week, each one of the friends in 1X has a 1 to 2 odds of getting chosen; the probability that any twoof them are selected is 0.2 and there is only a one in twenty chance that all three get to participate. What is the probability that, on any given week, none of the employees in1X participates in the "in-house" competition?[P] %* this question is marked like this as a "challenge" question.

The given probabilities are as follows: P(one selected) = 1/3 P(any two selected) = 0.2 P(All three…

Answered: Each week, the three programers sharing…

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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The Business School at State University currently has three parking lots, each containing 155 spaces. Two hundred faculty members have been assigned to each lot. On a peak day, an average of 70% of all lot 1 parking sticker holders show up, an average of 72% of all lot 2 parking sticker holders show up, and an average of 74% of all lot 3 parking sticker holders show up. a. Given the current situation, estimate the probability that on a peak day, at least one faculty member with a sticker will be unable to find a spot. Assume that the number who show up at each lot is independent of the number who show up at the other two lots. Compare two situations: (1) each person can park only in the lot assigned to him or her, and (2) each person can park in any of the lots (pooling). (Hint: Use the RISKBINOMIAL function.) If needed, round your answer to a whole percentage and if your answer is zero, enter "0". No pooling: Pooling: 51.4 % 83.8 % b. Now suppose the numbers of people who show up at…
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According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two randomly selected Americans and assume that these two randomly selected Americans are independent of each other. The probability that neither of these two randomly selected Americans will contract the influenza virus in a given year is
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