Question

When you roll a dice, lind the conditional probability of an even number given that the number is 4 or smaller. A) 16.67 B) 83.33 C) 66.67 D) 33.33 E) 50 A standard certification test was given at two locations. 40% candidates took the test at location A and 60% candidates at location B. The percentages of candidates from locations A and B who passed the test were 72% and 60%, respectively. Among those who passed the test, what is the conditional probability that the candidate took the test at location A? A) 47.06 B) 46.43 C) 45.78 D) 44.44 E) 45.12 Some words have particularly high probabilities of occurring in spam emails. For example, "Viagra" is frequently seen in spam emails, but seldom used in non-spam emails. The "Bayes spam filtering" is an email filtering method based on this idea. To implement this, the conditional probability of a spam email for each word has to be calculated first. A random sample of 1,000 emails are collected and reviewed if the email contains a certain word and if the email is spam. The results are summarized in the following probability distribution table. Spam No Containing the word 5% 20% Not containing the word 10% 65% 65% Which email has a higher chance of being a spam email, containing the word or not containing the word? a. An email containing the word has a higher chance of being a spam email than one NOT containing the word. b. An email NOT containing the word has a higher chance of being a spam email than one containing the word. c. There is no difference. d. The information is not enough to compare them.

When you roll a dice, lind the conditional probability of an even number given that the number is 4 or
smaller.
A) 16.67
B) 83.33
C) 66.67
D) 33.33
E) 50
A standard certification test was given at two locations. 40% candidates took the test at location A and
60% candidates at location B. The percentages of candidates from locations A and B who passed the test
were 72% and 60%, respectively. Among those who passed the test, what is the conditional probability
that the candidate took the test at location A?
A) 47.06
B) 46.43
C) 45.78
D) 44.44
E) 45.12
Some words have particularly high probabilities of occurring in spam emails. For example, "Viagra" is
frequently seen in spam emails, but seldom used in non-spam emails. The "Bayes spam filtering" is an
email filtering method based on this idea. To implement this, the conditional probability of a spam email
for each word has to be calculated first. A random sample of 1,000 emails are collected and reviewed if
the email contains a certain word and if the email is spam. The results are summarized in the following
probability distribution table.
Spam
No
Containing the word
5%
20%
Not containing the word
10%
65%
65%
Which email has a higher chance of being a spam email, containing the word or not containing the
word?
a.
An email containing the word has a higher chance of being a spam email than one NOT
containing the word.
b.
An email NOT containing the word has a higher chance of being a spam email than one
containing the word.
c.
There is no difference.
d.
The information is not enough to compare them.

Added by George R.

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