A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then the number of errors made is a Poisson random variable with mean 26; if typed by B, then the number of errors is a Poisson random variable with mean 3; and if typed by C, then it is a Poisson random variable with mean 3.4. Let X denote the number of errors in the typed manuscript. Assume that each typist is equally likely to do the work. (a) Find E(X). (sol) (ans) (sol) Find Var(X)
A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then the number of errors made is a Poisson random variable with mean 26; if typed by B, then the number of errors is a Poisson random variable with mean 3; and if typed by C, then it is a Poisson random variable with mean 3.4. Let X denote the number of errors in the typed manuscript. Assume that each typist is equally likely to do the work. (a) Find E(X). (sol) (ans) (sol) Find Var(X)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
Related questions
Question
Transcribed Image Text:1.
2.
t) A manuscript is sent to a typing firm consisting of typists A, B, and C. If it is typed by A, then
the number of errors made is a Poisson random variable with mean 2.6; if typed by B, then the number
of errors is a Poisson random variable with mean 3; and if typed by C, then it is a Poisson random
variable with mean 3.4. Let X denote the number of errors in the typed manuscript. Assume that each
typist is equally likely to do the work.
(a)
) Find E(X).
(ans)
ê
(sol)
(ans)
(0) Find Var (X).
(sol)
int) A rat is trapped in a maze. Initially it has to choose one of two directions. If it goes to the
right, then it will wander around in the maze for three minutes and will then return to its initial position.
If it goes to the left, then with probability 1/3 it will depart the maze after two minutes of traveling.
and with probability 2/3 it will return to its initial position after five minutes of traveling. Assuming that
the rat is at all times equally likely to go to the left or the right, what is the expected number of minutes
that it will be trapped in the maze?
(sol)
(ans)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 16 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL