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)
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...
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F356c0752-7c2d-4125-be60-fb5773f69bd9%2F0ab58e4e-ea50-4e80-8466-634a4d9d0b64%2Fz8mmf2w_processed.png&w=3840&q=75)
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON