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(answered) – 1. The Temple basketball team is playing the Villanova UniversityDescriptionSolution downloadThe Question1. The Temple basketball team is playing the Villanova University (ranked No.1) onWednesday February 17, 2016. Suppose that Temple has a 26.9% chance ofwinning the game. College basketball games cannot end in a tie.a. What is the random variable associated with this game? [1 point]b. What is the mutually exclusive event in this case? [1 point]c. Construct a well-labeled probability distribution table based on theoutcomes of this game. [2 points]RMI 2101Spring 2016Homework Assignment 524 PointsDue on Monday, February 22, 2016 AT THE BEGINNING OF CLASSBe careful to follow the Guidelines for Homework Document located in the CourseDocuments Section of Blackboard. You will lose points for not following proper format.This homework assignment has to be typed and submitted to Safe Assign.1.The Temple basketball team is playing the Villanova University (ranked No.1) onWednesday February 17, 2016. Suppose that Temple has a 26.9% chance ofwinning the game. College basketball games cannot end in a tie.a.What is the random variable associated with this game? [1 point]b.What is the mutually exclusive event in this case? [1 point]c.Construct a well-labeled probability distribution table based on theoutcomes of this game. [2 points]2.After Villanova University, Temple will playDateGAMEFebruary 17February 21February 23February 27March 3March 6VillanovaHoustonTulsaUCFMemphisTulaneWinProbability126.9%64.0%46.1%86.0%55.0%92.1%a.b.3.What is the probability that Temple wins ALL remaining games in theregular season (all the ones listed in the above table)? [2 points]Consider only the games in February. What is the probability that Templeloses ONLY ONE of the February games? Be sure to show your work.(Hint: they could lose against Villanova AND win the others OR theycould lose against Houston AND win the others?) [4 points]Refer to Topic 4 article ?How Long a Shot Is Powerball?.In Figure 1, the probabilities for each combination of While Balls and Powerballare listed. Is the probability for each result (each White Balls/Powerballcombination) an a priori probability or a statistical probability? Justify youranswer. [2 points]4.On Thursday, Amazon-Fresh is going to deliver a box of groceries to RestaurantA [Delivery A]. According to their contract, the promised time for delivery is5:00AM. If the delivery arrives late, Amazon-Fresh will pay $15 penalty toRestaurant A. Based on past experience with the delivery, Amazon-Freshestimates that this delivery has a 10% of chance of arriving late.Derive the probability distribution for total dollar losses. Note that is totaldollar losses, not number of losses. Make sure that you label your table correctly.[2 points]1These win probabilities are randomly assigned.5.On Friday, Amazon-Fresh is going to deliver another box of groceries toRestaurant B [Delivery B]. According to their contract, the promised time fordelivery is 6:00AM. If the delivery arrives late, Amazon-Fresh will pay $20penalty to Restaurant B. Based on past experience with the delivery, Amazonestimates that this delivery has a 20% of chance of arriving late.a.What are the possible outcomes for Amazon?s total dollar amount oflosses for delivery A and B? For each dollar amount of loss, describeunder what circumstances it would occur. In other words, what has tohappen in order for each dollar amount of losses to occur? Please note thatthis asks about total dollar amount of losses, not number of losses. [4points]b.For each of the possible outcomes you identify in part [a], derive the

(answered) – 1. The Temple basketball team is playing the Villanova University

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