1. The pro at a golf course stocks two identical sets of women's clubs, reordering at the endof each day (for delivery early the next morning) if and only if he has sold them both.Construct a tree diagram to show that if he starts on a Monday with two sets of the clubs,there are altogether eight different ways in which he can make sales on the first two daysof that week.

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Answered: 1. The pro at a golf course stocks two…

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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4. A car dealership has 5 minis (M), 8 convertibles (C) and 14 sedans (S) in its inventory. Throughout this problem, assume that the unordered/ordered lists cannot include duplicates. (a) An unordered list of 20 cars is a combination of 20 cars from this car dealership where the order does not matter, that is to say that if two lists include the same 20 cars they are considered to be the same unordered lists. How many unordered lists of 20 cars can be created in which no car is displayed more than once? (b) If you create an unordered list of 20 cars completely at random (that is, any car is equally likely to be picked), what is the probability that the list includes all 8 convertibles? (c) An ordered list of 4 cars is a sequence of 4 cars from this car dealership where the cars are displayed in a specific order, that is to say that two lists including the same 4 cars in a different order are considered different ordered lists. How many ordered lists of 4 cars can be created in which no…
22. Lawson's Department Store faces a buying decision for a seasonal product for which demand can be high, medium, or low. The purchaser for Lawson's can order one, two, or three lots of the product before the season begins but cannot reorder later. Profit projec- tions (in thousands of dollars) are shown. Decision Alternative Order 1 lot, d₁ Order 2 lots, d₂ Order 3 lots, d High Demand $1 P(E)= 0.70 P(V) = 0.30 60 80 100 State of Nature Medium Demand $2 60 80 70 a. If the prior probabilities for the three states of nature are 0.3, 0.3, and 0.4, respectively, what is the recommended order quantity? b. At each preseason sales meeting, the vice president of sales provides a personal opinion regarding potential demand for this product. Because of the vice president's enthusiasm and optimistic nature, the predictions of market conditions have always been either "excellent" (E) or "very good" (V). Probabilities are as follows: P(S₁E) = 0.34 P(S₂E) = 0.32 P(S3E) = 0.34 Low Demand $3 50 30 10…
1. Suppose a senior is choosing classes and must select from a set of equal value classes needed for graduation There are 15 classes, all offered at different times. The student must take 5 classes to graduate. a. How many possible course schedules can the student choose? b. Suppose another student in the same major also chooses a schedule from the same 15 courses, also 5 courses, and chooses them independently of the first student (say each class is equally likely to be chosen). What is the probability that the two students choose the exact same schedule?
5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if (a) order does not matter. (b) order matters.
Suppose we select 2 students randomly from a class of 20 students. The first student selected will analyze a data set on the computer and prepare summary tables, and the second student will present the results to the class. How many ways can the students be selected for these tasks? Is this a permutation, a combination, or neither?
14.The following table represents the number of loyalty points (p) a customer has accumulated for an amount of money (m) spent after a sign-up bonus. How many points does she receive for each dollar she spent? (1) 15 (2) 20 15 20 40 m (3) 25 275 425 500 800 (4) 55 P Type here to search a op 96 411 & Inse 近
12. Suppose a list A contains the 30 students in a mathematics class, and a list B contains the 35 students in an English class, and suppose there are 20 names on both lists. Find the number of students: (a) only on list A, (b) only on list B, (c) on list A or B (or both), (d) on exactly one list.
Rework problem 13 from section 1.4 of your text, involving sales calls. Assume the sales representative calls 7 customers, and each call has 3 possible results: reaches the customer in person, there is no answer, and gets an answering machine. A phone record is a list of the results of each call. How many different phone records are possible?
1. Starting with any rectangle, we can create a new, larger rectangle by attaching a square to the longer side. For example, if we start with a 2 x 5 rectangle, we would glue on a 5 x 5 square, forming a 5 x 7 rectangle: The next rectangle would be formed by attaching a 7 x 7 square to the top or bottom of the 5 x 7 rectangle. (a) Create a sequence of rectangles using this rule starting with a 1 x 2 rectangle. Then write out the sequence of perimeters for the rectangles (the first term of the sequence would be 6, since the perimeter of a 1 x 2 rectangle is 6, the next term would be 10). (b) Repeat the above part this time starting with a 1 x 3 rectangle. (c) Find recursive definitions for each of the sequences of perimeters you found in parts (a) and (b). Don't forget to give the initial conditions as well. (d) Are the sequences arithmetic? Geometric? If not, are they close to being either of these (i.e., are the differences or ratios almost constant)? Write down the sequences of…

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