Question 6The University of Dar es Salaam Silver Sands Hotel has a capacity of 20 rooms.From the historical data, the hotel coordinator estimated that approximately0.15 of all confirmed reservations will turn out to be "no-shows". As a mitigationstrategy to avoid idle rooms, the hotel accepts confirmed reservations for as manyas 25 rooms. However, if more confirmed reservations arrive than there arerooms, the overbooked guests will have to be sent to a nearby hotel and given acomplimentary dinner.RequiredIf the hotel currently has 25 confirmed reservations, finda) the probability that no customers will be sent to another hotelb) the probability that exactly 2 guests will be sent to another hotelc) the probability that 3 or more guests will be sent to another hotel

The University of Dar es Salaam Silver Sands Hotel has a capacity of 20 rooms. From the historical…

Answered: Question 6 The University of Dar es…

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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Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide to eat in the restaurant (as opposed to ordering the food "to go"), so it can make decisions regarding the possible construction of in-store play areas, the attendance of its mascot Sammy at the franchise locations, and so on. Anita's reports that 45% of its customers order their food to go. If this proportion is correct, what is the probability that, in a random sample of 5 customers at Anita's, exactly 3 order their food to go?
A company organizes its sales into territories, each assigned to one sales representative. An analyst theorizes that the on-the-job experience level of the sales rep may be related to the amount of sales in each territory. The analyst decided to use the time the sales reps had been employed at the company to predict sales. After taking a random sample of sales territories, the analyst measured the last quarter's Sales in dollars and the Experience the sales rep had at the company in months. Here are the three tables from the regression results: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Experience (months) 0.5966 0.3559 0.339 497.9058 40 df 1 38 39 Coefficients 6.6108 SS 5205388.04 5205388.04 9420585.51 Standard Error 4250.9742 180.2332 14625973.55 1.4427 How many territories are in the sample? 247910.15 t Stat MS 23.586 4.5822 P-value 2.71E-24 4.85E-05 F 20.9971 Lower 95% Upper 95% 3886.1113…
Part 1: The state of Maryland's arrest rate for marijuana possession in 2010 was the fourth highest in the nation. Public records for that year show that police arrested one out of every 250 Maryland residents for possession of marijuana. In addition, while Black people only comprised 30% of the State's population in 2010, 58% of those arrested for marijuana possession were Black. Use the following labels for events describing Maryland residents in the year 2010. M-AMP: Maryland resident was arrested for marijuana possession M-B: Maryland resident was a Black person a) What is the probability that a Maryland resident was arrested for marijuana possession in 2010? b) Use probability notation to express the cited percent values. 30% = P( 58% = P( c) Which of the values cited should be compared to determine whether race and arrests for marijuana possession in the state of Maryland in 2010 are independent?
Many states mandate tests that have to be passed in order for the students to graduate with a high school diploma. A local school superintendent believes that after-school tutoring will improve the scores of students in his district on the state's graduation test. As a trial run, a tutor agrees to work with 15 students for a month. The superintendent ask the school board to implement this after-school tutoring program if there is evidence that student scores would increase by an average of more than 20 points. Create a 95% confident level to estimate the true score increase. 25.4 23.3 17.8 21.3 14.8 28.8 22.5 23.6 32.3 15.4 23.4 27.5 18.8 19.1 20.4 a. Confidence Interval b. Conclusion
The Ancient Murrelet is a plucky little bird of the auk family that lives in colonies on islands off the northern Pacific coasts of Russia, Alaska and Canada. Half of the world population breeds on the islands of Haida Gwaii, British Columbia. Since these birds lay their eggs in burrows on the forest floor, the nestlings are highly susceptible to predation. Their populations have been greatly reduced over the past century by mammalian predators (deer, raccoons, rats) introduced to their breeding islands after contact was established between the Haida people and outsiders. Conservation efforts have only recently been undertaken. A multi-year population study on one island, now closed to human visitors, has produced the following function that describes the observable decline: P(t) = 5-√√2t+4 where P(t) is the island population in thousands and t is the time in years since January 1, 2008, when the study was started. The goal is to graph and interpret this function in this problem…
A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 13 offspring birthed.They then observe that 11 are female.Use a sign test and a alpha of .05 to test the indicated hypothesis.What is the critical value?
A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 17 offspring birthed.They then observe that 12 are female.Use a sign test to test the indicated hypothesis.What is the value of "significance"
You're a quality engineer at Norman's fouth largest cracker factory. where there are two production lines (A, which produces 20% of cracker boxes, and B which produces the rest). If a line produces more than one defective box in an eight -hour day, a maintenance check on the line is performed. Line A produces an average of 0.061 box defects PER Hour. Given that you're only looking at a line A, what is the probability that you will need a request a maitenance check.

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