Question
Consider the first 25 digits in the decimal expansion of p. A) If you select one...
Consider the first 25 digits in the decimal expansion of p.
A) If you select one number at random, what are the probabilities of getting each of the 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)?
B) What is the most probable digit? What is the median digit? What is the average value?
C) Find the standard deviation of the distribution.
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
A large collection of one-digit random numbers should have about 50% odd and 50% even digits\...
A large collection of one-digit random numbers should have
about 50% odd and 50% even digits\ because five of the ten digits
are odd (1, 3, 5, 7, and 9) and five are even (0, 2, 4, 6,
and 8).A. .Find the proportion of odd-numbered digits in the
following lines from a random number table. Count carefully:
9 9 2 8 9 7 6 5 8 3 0 8 6 0 2
3 7 8 4 9 9 2 8...
The first significant digit in any number must be 1, 2, 3, 4,5, 6, 7, 8,...
The first significant digit in any number must be 1, 2, 3,
4,5, 6, 7, 8, or 9. It was discovered that first digits do not
occur with equal frequency. Probabilities of occurrence to the
first digit in a number are shown in the accompanying table. The
probability distribution is now known as Benford's Law.
Forexample, the following distribution represents the first digits
in 232 allegedly fraudulent checks written to a bogus company by an
employee attempting to embezzle funds...
Fraudulent numbers in tax returns, payment records, invoices, etc. often display patterns that aren’t present in...
Fraudulent numbers in tax returns, payment records, invoices,
etc. often display patterns that aren’t present in legitimate
records. It is a striking fact that the first digits of numbers in
legitimate records often have probabilities that follow the model
(known as Benford’s Law) partially shown in the following
probability distribution, where the random variable x is the first
digit of the number. x 1 2 3 4 5 6 7 8 9 P(x) 0.301 0.176 0.125 ?
0.079 0.067 0.058...
Benford's Law states that the first nonzero digits of numbers drawn at random from a large...
Benford's Law states that the first nonzero digits of numbers
drawn at random from a large complex data file have the following
probability distribution.† First Nonzero Digit 1 2 3 4 5 6 7 8 9
Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046
Suppose that n = 275 numerical entries were drawn at random from a
large accounting file of a major corporation. The first nonzero
digits were recorded for the sample. First Nonzero Digit 1 2...
It is a striking fact that the first digits of numbers in legitimate records often follow...
It is a striking fact that the first digits of numbers in
legitimate records often follow a distribution known as
Benford's Law, shown below.
First digit
1
2
3
4
5
6
7
8
9
Proportion
0.285
0.186
0.126
0.084
0.069
0.067
0.034
0.039
0.110
Fake records usually have fewer first digits 1, 2, and 3. What
is the approximate probability, if Benford's Law holds, that among
1153 randomly chosen invoices there are no more than 670 in amounts
with...
It is a striking fact that the first digits of numbers in legitimate records often follow...
It is a striking fact that the first digits of numbers in
legitimate records often follow a distribution known as
Benford's Law, shown below.
First digit
1
2
3
4
5
6
7
8
9
Proportion
0.28
0.152
0.129
0.088
0.05
0.07
0.042
0.035
0.154
Fake records usually have fewer first digits 1, 2, and 3. What
is the approximate probability, if Benford's Law holds, that among
1189 randomly chosen invoices there are no more than 688 in amounts
with...
The first significant digit in any number must be 1, 2, 3, 4, 5, 6, 7,...
The first significant digit in any number must be 1, 2, 3, 4,
5, 6, 7, 8, or 9. It was discovered that first digits do not occur
with equal frequency. Probabilities of occurrence to the first
digit in a number are shown in the accompanying table. The
probability distribution is now known as Benford's Law. For
example, the following distribution represents the first digits in
219 allegedly fraudulent checks written to a bogus company by an
employee attempting to...
Benford's law, also known as the first‑digit law, represents a probability distribution of the leading significant...
Benford's law, also known as the first‑digit law, represents a
probability distribution of the leading significant digits of
numerical values in a data set. A leading significant digit is the
first occurring non‑zero integer in a number. For example, the
leading significant digit in the number 127127 is 11. Let this
leading significant digit be denoted ?x.
Benford's law notes that the frequencies of ?x in many datasets
are approximated by the probability distribution shown in the
table.
?x
11...
Consider the random variable, X, whose probabilities are given in this table. X P(X) 0 0.2373...
Consider the random variable, X, whose probabilities are given
in this table.
X
P(X)
0
0.2373
1
0.3955
2
0.2637
3
0.0879
4
0.0146
5
0.0010
What is the standard deviation of this probability distribution?
Round to the nearest thousandth (three decimal places), if
needed.
In a lottery game a player chooses four digits (digits can repeat, for instance 0, 2,...
In a lottery game a player chooses four digits (digits can
repeat, for instance 0, 2, 0, 2 is a valid choice) and bet $1 that
all four of them will arise in the four digit number drawn from the
lottery. It isn’t necessary that the order will be the same: if a
player selects 2, 6, 7, 8 the selection of 8, 2, 7, 6 means he won.
Player gets $200 if he wins.
1. What is the probability...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 4 minutes ago
asked 22 minutes ago
asked 25 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago