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Name the distribution which seems most appropriate to each of the following random variables and specify the values of the associated parameters. [Example: "The number of students in a class of size 42 who pass Mech. Eng. 1234, given that, on average, the proportion of students who pass Mech. Eng. 1234 is 0.6". Answer: Binomial: n = 42. D = 0.6.1

Name the distribution which seems most appropriate to each of the following random variables and specify the values of the associated parameters. [Example: "The number of students in a class of size 42 who pass Mech. Eng. 1234, given that, on average, the proportion of students who pass Mech. Eng. 1234 is 0.6". Answer: Binomial: n = 42. D = 0.6.1

A First Course in Probability (10th Edition)
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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Name the distribution which seems most appropriate to each of the following random variables and specify the values of the associated parameters. [Example: "The number of students in a class of size 42 who pass Mech. Eng. 1234, given that, on average, the proportion of students who pass Mech. Eng. 1234 is 0.6". Answer: Binomial; n = 42, p = 0.6.] (1) The number of digits generated randomly and independently from {0,1,2,3,4,5,6,7,8,9} to obtain the first occurrence of the '3'. (11) The number of computers, in a lab containing 26 computers, which fail before their warranty expires, given that 20% of such computers fail before their warranty expires. (111) The number of Dell computers in a lab containing 20 computers which were chosen at random from a supply of 56 computers, 42 of which were Dells. (iv) The number of reflected sub-atomic particles in an evacuated duct of a nuclear fusion reactor, when 50 particles are released in the duct. For this particular duct, 16% of all such particles are reflected, and 84% of all such particles are absorbed. The particles behave independently of each other. (v) The number of graduate students on a committee of size 5 which is chosen at random from a university department consisting of 15 faculty members and 23 graduate students. (vi) The number of households sampled by a sociologist, who samples until he obtains a household whose head is a single female parent, given that 12% of all households are headed by a single female parent. (vii) The number of deer caught and inspected by Wildlife Officers, up to the time when they catch a tagged deer, given that 1.5% of all deer are tagged.
Transcribed Image Text:Name the distribution which seems most appropriate to each of the following random variables and specify the values of the associated parameters. [Example: "The number of students in a class of size 42 who pass Mech. Eng. 1234, given that, on average, the proportion of students who pass Mech. Eng. 1234 is 0.6". Answer: Binomial; n = 42, p = 0.6.] (1) The number of digits generated randomly and independently from {0,1,2,3,4,5,6,7,8,9} to obtain the first occurrence of the '3'. (11) The number of computers, in a lab containing 26 computers, which fail before their warranty expires, given that 20% of such computers fail before their warranty expires. (111) The number of Dell computers in a lab containing 20 computers which were chosen at random from a supply of 56 computers, 42 of which were Dells. (iv) The number of reflected sub-atomic particles in an evacuated duct of a nuclear fusion reactor, when 50 particles are released in the duct. For this particular duct, 16% of all such particles are reflected, and 84% of all such particles are absorbed. The particles behave independently of each other. (v) The number of graduate students on a committee of size 5 which is chosen at random from a university department consisting of 15 faculty members and 23 graduate students. (vi) The number of households sampled by a sociologist, who samples until he obtains a household whose head is a single female parent, given that 12% of all households are headed by a single female parent. (vii) The number of deer caught and inspected by Wildlife Officers, up to the time when they catch a tagged deer, given that 1.5% of all deer are tagged.
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