3.An online computer system has a login procedure that is designed to identify hackers andallow entry to authorized users. In this procedure all 5 vowels (A, E, I,0, and U) must beused in some order before the user is either allowed into the system or is detected as a hacker.Additionally each vowel is only available for use one time. Any consonants used are irrelevantto the hacker-detection algorithm, and analysis of this algorithm can ignore them.Some of these five vowels in some orders are allowed; however, there are some orders whichindicate a hacker's attempt at an illegal login. The illegal line-up of vowels occurs if E is notthe first vowel encountered or if U is not at the last of the vowels encountered. How manyorders are possible that result in a legal login?Hint: Consider the total number of orderings without regard to the E and U order con-straints. Reduce that number by the number of orderings that violate the E constraint andthen reduce this number further by the number of orderings that violate the U constraint.Remember to be careful about double counting.

Given: All 5 vowels (A, E, I, O, U) must be used in some order. Each vowel is only available for…

Answered: 3. An online computer system has a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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From time to time, the UTM Human Resource (UTMHR) department observes various employees fortheir work productivity. Recently UTMHR wanted to check whether the four employees at theDepartment XYZ counters, serve on average the same number of customers per hour. The HR managerobserved each of the four employees for a certain number of hours. The following Table 5 gives thenumber of customers served by the four employees during each of the observed hours. employee a employee b employee c employee d 19 14 11 24 21 16 14 19 26 14 21 21 24 13 13 26 18 17 16 20 employee a employee b employee c employee d mean 21.6 14.8 15.0 22.0 s 3.4 ? 3.8 ? c) Find variance between sample,d) Find variance within sample, e) Calculate the test statistic, F.f) Determine the numerator and denominator.g) Find the critical value of F at the 5% significance level, and test the claim that the mean numberof customers served per hour by each of these four employees is…
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In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) Find the probabilities that in your 30 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) = b) Find the probability that one otter will initiate social grooming less than four times during the 30-minute observation period. (Round your answer…

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