3.61 Fighting probability of fallow deer bucks. In Aggressiv Behavior (Jan./Feb. 2007), zoologists investigated th likelihood of fallow deer bucks fighting during the matin season. During the observation period, the researchers r corded 205 encounters between two bucks. Of these, 16 involved one buck clearly initiating the encounter with th other. In these 167 initiated encounters, the zoologists kej track of whether or not a physical contact fight occurre and whether the initiator ultimately won or lost the er counter. (The buck that is driven away by the other is co sidered the loser.) A summary of the 167 initiated encour ters is provided in the table on p. 143. Suppose we sele one of these 167 encounters and note the outcome (fig) status and winner). a. What is the probability that a fight occurs and the init ator wins? b. What is the probability that no fight occurs? c. What is the probability that there is no clea winner? d. What is the probability that a fight occurs or the initi tor loses? e. Are the events "No clear winner" and "Initiator loses mutually exclusive? Initiator No Clear Initiator Wins Winner Loses Totals Fight 26 No Fight 80 Totals 106 323 15 64 12 11 103 35 26 167 Based on Bartos, L. et al. "Estimation of the probability of fighting in fallow deer (Dama dama) during the rut." Aggressive Behavior, Vol. 33, Jan/Feb. 2007, pp. 7-13.

Scores obtained by students in three sections of the Medical College AdmissionTest (MCAT) are independently normally distributed with means 10, 12, and 10and standard deviations 2.6, 1.2, and 1.3, respectively. Determine the probabilitydistribution of the total scores obtained by these students. NOTE: Please explain each part, so the problem can be used as a Study Guide

3. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of  5.6 days and a standard deviation of  2.3 days.  1.) What is the probability of spending more than two days in recovery?     A.)0.8709     B.) 0.0495     C.) 0.9412     D.) 0.0588  2.) The  80th percentile for recovery times is?     A.) 7.54     B.) 4.24     C.) 7.01     D.) 6.81

In a study of red/green color blindness, 800 men and 2050 women are randomly selected and tested. Among the men, 68 have red/green color blindness. Among the women, 5 have red/green color blindness. We wish to test the claim that men have a higher rate of red/green color blindness.  The test statistic is?The p-value is?

A dowser has correctly located water for a well 1 out of 2 times in Jones County. In Jones County, someone who is just guessing has a 40% chance of locating water for a well. Does this sample provide sufficient evidence that the dowser can locate water and is not just guessing?

You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. If SSbetween = 369.3 and SStotal = 945.1 for this data. Identify the SSwithin