3. Suppose there are 10 workers require, for a very short period of time but ratherfrequently, the full computing power of a processor; suppose, to make it easy, that atany given instant the probability that a particular worker will require the dedicatedservice of the processor is 1/5. (One might suppose, for example, that any workerneeds it about 12 minutes out of every hour but in tiny bursts.) All workers workindependently. Suppose that there are six processors; what is the probability thatdemand for computing will exceed supply? What if there are seven processors?

Given information: X = Number of workers requiring processor usage out of 10. X~Binomialn=10, p=15

Answered: 3. Suppose there are 10 workers…

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 mathematics researcher has pointed out a problem with massive, untargeted wiretaps. To illustrate the problem, he supposes that one out of every million citizens of a certain country has terrorist ties. Furthermore, he supposes that the terrorist profile is 98.4% accurate, so that if a person has terrorist ties, the profile will pick them up 98.4% the time, and if the person does not have terrorist ties, the profile will accidentally pick them up only 1.6% of the time. Given that the profile has picked up a person, what is t probability that the person actually has terrorist ties? The probability is (Type an integer or a decimal rounded to six decimal places as needed.)
There are X-Mart and Y-Mart convenience stores. It is assumed that each customer purchases once a week at one of the two supermarkets (but not both). In a study, a sample of 100 buyers was taken for 10 weeks. From this research it is known that if buyers go to X-mart store one week, 85 people will still buy at X-mart store the following week and if buyers go to Y-mart store one week, 70 people will still buy at Y-mart store. mart the following week. 1. Make a table and matrix of transition probabilities. 2. If John purchases at X-mart in the first week, what is the probability that Bob purchases at X-store in the third and fourth weeks?
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. Suppose now that instead of using a new detection tool starting in week 3, suppose we started using it right away at the beginning of week 1. If we wanted the total expected number of transactions with the 1,000 fake bills to be at most 1,700 then what percentage would we need to detect at each transaction? Write your final answer as a percentage, and round to 2 decimal points.
2. Iconic memory is a type of memory that holds visual information for about half a second (0.5 second). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table for this between-subjects designs. G=114 ΣΧ2 = 878 N=18 0 12 11 6 10 8 7 T = 54 M=9 SS=28 Delay Before Recall (in seconds) 0.5 8 4 10 6 3 5 T = 36 M = 6 SS = 34 1.0 4 b. Compute eta-squared to measure the effect size. WOH 4 2 5 7 2 T=24 M=4 SS = 18 a. Do the data indicate that delay to recall had a significant impact on number of words recalled? Use the hypothesis testing steps & alpha = .05. Compute any necessary post-hoc tests.
You are interested in finding out if kangaroo rats that have been offered food ad lib(unlimited food) for the previous 24 hours store a different amount of food in their pouches than kangaroo rats that have been starved for 24 hours. You take 8 kangaroo rats and starve them for 24 hours, then offer them food and count how many seeds are stored in their pouches in the next hour. You let your rats rest for one week, and repeat the experiment with the same rats, but offer them unlimited food for the 24 hours prior to the experiment. Run the appropriate statistical test. Rat ID # Seeds (starving) 3 Seeds (ad lib) 1 10 26 2 16 23 3 15 16 4 12 17 5 21 29 6 13 21 7 12 32 8 10 18
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October? n.b the picture is example of solution

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