For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete. (a) X = the number of unbroken eggs in a randomly chosen standard egg carton Describe the set of possible values for the variable. O [0, 12] O 0, 1, 2, 3, ..., 12 O (0, 12] O 1, 2, 3, .., 12 State whether the variable is discrete. O discrete O not discrete (b) Y = the number of students on a class list for a particular course who are absent on the first day of classes, where n = the total number of students on the class list Describe the set of possible values for the variable. O 1, 2, 3, .., n O (0, n] O [0, n] O 0, 1, 2, 3, ..., n State whether the variable is discrete. O discrete O not discrete (c) U = the number of times a duffer has to swing at a golf ball before hitting it Describe the set of possible values for the variable. O (0, co) О о, 1, 2, 3, ... O [0, 00) O 1, 2, 3, ... State whether the variable is discrete. O discrete O not discrete (d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. O [0, 0) O 0, 1, 2, 3, ... O (0, 0) О 1, 2, 3, ...

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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O 1, 2, 3, .., n
O [0, z,)
O z, z2, Z31 ... Zn
O [0, n]
State whether the variable is discrete.
O discrete
O not discrete
(f) Y = the pH of a randomly chosen soil sample
Describe the set of possible values for the variable.
O (0, 14]
O [0, 14]
O 1, 2, 3, .., 14
O 0, 1, 2, 3, ..., 14
State whether the variable is discrete.
O discrete
O not discrete
(g) X = the tension (psi) at which a randomly selected tennis racket has been strung, where m = the minimum possible tension and M = the maximum possible tension
Describe the set of possible values for the variable.
O m+1, .., M-1
O (m, M)
O m, m+1, ..., M-1, M
O [m, M)
State whether the variable is discrete.
O discrete
O not discrete
(h) X = the total number of times three tennis players must spin their rackets to obtain something other than UUU or DDD (to determine which two play next)
Describe the set of possible values for the variable.
O 1, 2, 3, ...
O 3, 6, 9, ...
O [3, 0)
O [1, 0)
State whether the variable is discrete.
O discrete
O not discrete
Transcribed Image Text:O 1, 2, 3, .., n O [0, z,) O z, z2, Z31 ... Zn O [0, n] State whether the variable is discrete. O discrete O not discrete (f) Y = the pH of a randomly chosen soil sample Describe the set of possible values for the variable. O (0, 14] O [0, 14] O 1, 2, 3, .., 14 O 0, 1, 2, 3, ..., 14 State whether the variable is discrete. O discrete O not discrete (g) X = the tension (psi) at which a randomly selected tennis racket has been strung, where m = the minimum possible tension and M = the maximum possible tension Describe the set of possible values for the variable. O m+1, .., M-1 O (m, M) O m, m+1, ..., M-1, M O [m, M) State whether the variable is discrete. O discrete O not discrete (h) X = the total number of times three tennis players must spin their rackets to obtain something other than UUU or DDD (to determine which two play next) Describe the set of possible values for the variable. O 1, 2, 3, ... O 3, 6, 9, ... O [3, 0) O [1, 0) State whether the variable is discrete. O discrete O not discrete
For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete.
(a) x = the number of unbroken eggs in a randomly chosen standard egg carton
Describe the set of possible values for the variable.
O [0, 12]
O 0, 1, 2, 3, ..., 12
O (0, 12]
O 1, 2, 3, .., 12
State whether the variable is discrete.
O discrete
O not discrete
(b) Y = the number of students on a class list for a particular course who are absent on the first day of classes, where n = the total number of students on the class list
Describe the set of possible values for the variable.
O 1, 2, 3, ., n
O (0, n]
O [0, n]
O 0, 1, 2, 3, ., n
State whether the variable is discrete.
O discrete
O not discrete
(c) U = the number of times a duffer has to swing at a golf ball before hitting it
Describe the set of possible values for the variable.
O (0, co)
O 0, 1, 2, 3, .
O [0, 00)
O 1, 2, 3, ...
State whether the variable is discrete.
O discrete
O not discrete
(d) X = the length of a randomly selected rattlesnake
Describe the set of possible values for the variable.
O [0, co)
O 0, 1, 2, 3, ...
O (0, 0)
O 1, 2, 3, ...
Transcribed Image Text:For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete. (a) x = the number of unbroken eggs in a randomly chosen standard egg carton Describe the set of possible values for the variable. O [0, 12] O 0, 1, 2, 3, ..., 12 O (0, 12] O 1, 2, 3, .., 12 State whether the variable is discrete. O discrete O not discrete (b) Y = the number of students on a class list for a particular course who are absent on the first day of classes, where n = the total number of students on the class list Describe the set of possible values for the variable. O 1, 2, 3, ., n O (0, n] O [0, n] O 0, 1, 2, 3, ., n State whether the variable is discrete. O discrete O not discrete (c) U = the number of times a duffer has to swing at a golf ball before hitting it Describe the set of possible values for the variable. O (0, co) O 0, 1, 2, 3, . O [0, 00) O 1, 2, 3, ... State whether the variable is discrete. O discrete O not discrete (d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. O [0, co) O 0, 1, 2, 3, ... O (0, 0) O 1, 2, 3, ...
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