-82. + meric data incorrectly The random variable X is the number form with 28 fields that have an error. Is X a dise random variable? Why or why not? 3-83. + Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y = 5X and compare to the corresponding results for X. 3-84. Show that for a discrete uniform random variable X , if each yalues in the range of X is multiplied by the constant c, the he nhiply the mean of X by c and the variance of X byc. Y)= cE(X) and V (cx)=c°V(X). PDF document you create has nine pages (includ- lord deviation to

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3-83 only please
previous part? Exp
3-82. + The probability of an ope
meric data incorrectly into a field in a database is equ.
The random variable X is the number of fields on a data entry
form with 28 fields that have an error. Is X a discrete uniform
random variable? Why or why not?
3-83. + Suppose that X has a discrete uniform distribution
on the integers 0 through 9. Determine the mean, variance,
and standard deviation of the random variable Y = 5X and
compare to the corresponding results for X.
3-84. Show that for a discrete uniform random variable X , if each
of the values in the range of X is multiplied by the constant c, the
effect is to multiply the mean of X by c and the variance of X by c.
That is, show that E(cX)=cE(X) and V(cX)=c³v(x).
3-85. The number of pages in a PDF document you create has
a discrete uniform distribution from five to nine pages (includ-
ing the end points). What are the mean and standard deviation
the number of pages in the document?
16,
the
crs are
n of the
red to the
ormly dis-
ming at
%3D
Dose that nine-digit Social Security numbers are
If you randomly select a number, what is
ngs to one of the 300 million people
ielephone numbers
is the prob-
17%
Transcribed Image Text:previous part? Exp 3-82. + The probability of an ope meric data incorrectly into a field in a database is equ. The random variable X is the number of fields on a data entry form with 28 fields that have an error. Is X a discrete uniform random variable? Why or why not? 3-83. + Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the mean, variance, and standard deviation of the random variable Y = 5X and compare to the corresponding results for X. 3-84. Show that for a discrete uniform random variable X , if each of the values in the range of X is multiplied by the constant c, the effect is to multiply the mean of X by c and the variance of X by c. That is, show that E(cX)=cE(X) and V(cX)=c³v(x). 3-85. The number of pages in a PDF document you create has a discrete uniform distribution from five to nine pages (includ- ing the end points). What are the mean and standard deviation the number of pages in the document? 16, the crs are n of the red to the ormly dis- ming at %3D Dose that nine-digit Social Security numbers are If you randomly select a number, what is ngs to one of the 300 million people ielephone numbers is the prob- 17%
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