Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact fight occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 174 encounters and note the outcome (fight status and winner). E Click the icon to view a summary of the 174 initiated encounters. a. What is the probability that a fight occurs and the initiator wins? The probability isO. (Round to the nearest thousandth as needed.) b. What is the probability that no fight occurs? The probability isO. (Round to the nearest thousandth as needed.) c. What is the probability that there is no clear winner? The probability is|. (Round to the nearest thousandth as needed.)

Zoologists investigated the likelihood of fallow deer bucks fighting during the mating season. During a 270-hour observation period, the researchers recorded 205 encounters between two bucks. Of these, 174 involved one buck clearly initiating the encounter with the other. In these 174 initiated encounters, the zoologists kept track of whether or not a physical contact fight occurred and whether the initiator ultimately won or lost the encounter. (The buck that is driven away by the other is considered the loser.) Suppose we select one of these 174 encounters and note the outcome (fight status and winner). E Click the icon to view a summary of the 174 initiated encounters. a. What is the probability that a fight occurs and the initiator wins? The probability isO. (Round to the nearest thousandth as needed.) b. What is the probability that no fight occurs? The probability isO. (Round to the nearest thousandth as needed.) c. What is the probability that there is no clear winner? The probability is|. (Round to the nearest thousandth as needed.)

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...

See similar textbooks

Similar questions

Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D. Subject A wants to impress the researcher above all else, while the other subjects do not care if they impress the researcher. Which subject is least likely to answer all the questions honestly? OA. Subject C O B. Subject D C. Subject A D. Subject B
A report described a survey of parents of children under the age of 18. Each person in a representative sample of 838 working fathers and a sample of 595 working mothers was asked if balancing the responsibilities of a job and a family was difficult. It was reported that 437 of the fathers surveyed and 364 of the mothers surveyed said that it was difficult. The two samples were independently selected and were thought to be representative of working fathers and mothers of children under 18 years old. USE SALT Use this information to calculate a 95% confidence interval estimate of the difference between the proportion of working fathers who find balancing work and family difficult, p₁, and this proportion for working mothers, P2. (Use a statistical computer package to calculate the P-value. Use P₁ - P₂. Round your answers to three decimal places.) to Interpret the interval. O There is a 95% chance that the true difference between the proportion of working fathers who find balancing work…
The table below contains data from a study of two airlines - Sunshine Airlines & Comfort Airlines - which fly from BWI to Shore City, FL. If one Airline is selected, find P (on time and Comfort Airlines). Number of Flights Arriving on Time Number of Flights Arriving Late Sunshine Airlines 33 5 Comfort Airlines 43 6
Many fundraisers ask for donations using email and text messages. A paper describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by email is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.7% of those who received and opened an email request for a donation and 7.8% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (email or text message) and suppose that the given percentages are based on sample sizes of 2,000 (the actual sample sizes in the experiment were much larger). (Let p1 be the proportion who make a donation after receiving an email, and p2 be the proportion who make a donation after receiving a text message.) Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two…
In a survey about people's relationship with their pets, one of the questions asked if the person felt guilty when they left their pets alone when they went on holidays. The response for each person was recorded as "Yes- feels guilty" or "No - does not feel guilty". The researchers were interested to see if men and women felt differently in this situation. Which of the following procedure is the most appropriate one to decide if the feeling of being guilty about leaving pets alone is different for men and women: A) Chi-squared test for independence B) Paired T-test C) Unpaired T-test D) Linear regression
The contingency table below shows the blood types of a sample of patients cross classified by gender. How many women with blood type AB would you expect if there was no association between these two variables? A AB Total Female 42 55 11 4 112 Male Total 55 43 16 120 97 98 27 10 232 O 5.2 O 10 O 4.8 4.
The majority of clothing retailers use mannequins to display their merchandise, with approximately one‑third displaying mannequins with heads and two‑thirds displaying mannequins without heads. Researchers recruited 126 female participants and assigned each to one of the two mannequin styles (head/headless). Participants were asked to imagine that they wanted to buy a new dress and told to go to a named store to make their purchase. They then viewed the dress displayed on a mannequin (head or headless) and were asked whether or not they would buy the dress. Of the 63 participants viewing the dress displayed on a mannequin with a head, 18 indicated that they would buy the dress, while only 10 of the 63 participants viewing the headless mannequin indicated that they would buy the dress. SOLVE : Are the conditions met to carry out the desired hypothesis test? One observed count of a success, namely the women who would buy a dress after seeing it on a headless mannequin, is ten,…
Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale. The researchers calculated the difference (in person −− online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points. Construct and interpret a 95% confidence interval for the mean difference (in person −− online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.
Suppose you are the manager of two beachfront hotels : The Palms and Golden Sands. You'd like to know if there is a difference in guest satisfaction between the two hotels. To investigate this, you conduct a survey and ask guests upon departure if they are likely to return to the hotel in the future. For The Palms, 163 out of 227 guests who were surveyed responded " yes ". For Golden Sands, 154 out of 262 guests responded "yes ". Answer the following questions. Round any numbers in your final answers to 2 decimals. 1) Calculate a 95 % confidence interval for the difference in satisfaction rates between The Palms and Golden Sands (Show work) 2) Use the critical value approach to test, at a 1% significance level, whether or not the guest satisfaction rates are different between the two hotels. What do you conclude ? (In your answer, show the steps involved with testing) 3) What is the p-value of your test in part 2?
Five percent of the customers who visit a website complete a product purchase. If one considers just the set of customers who completed the project purchase at the website, 80% read at least some of the user reviews about the product on the site. When considering those customers who did not purchase of the product at the website, only 20% of these potential customers read the user reviews about the product on the site. The website managers are interested in how customer review-reading behavior affects the likelihood of purchase. Which of the following probability statements are true? P(Read Reviews | Purchase) = 0.040 P(Did Not Purchase | Read Reviews) = 0.726 None of the answers are correct. P(Purchase | Did Not Read Reviews) = 0.040 P(Did Not Read Reviews | Did Not Purchase) = 0.200
In a series of studies, Sebastian Deri and his colleagues (2017) asked multiple groups about the number of friend groups they had and how often they attended different social events. They then asked participants how they thought their own numbers compared to other people's: Did participants see themselves as less social, the same as, or more social than others? In the first study, the researchers reported that: "Three hundred four participants from Amazon's Mechanical Turk (150 women; Mage = 37.1; 78% White, 10% Black, and 6% Asian) completed a survey in exchange for modest payment" (p. 860). What do the researchers mean by "Amazon's Mechanical Turk" with respect to their sample of participants? O A. An archival data set that already exists and from which researchers can use data O B. An online tool that researchers can use to recruit people to participate in research in exchange for a small payment O C. An e-book sold by Amazon that includes contact information for possible…