An article in Information Security Technical Report, "Malicious Software-Past, Present and Future" (Vol. 9, 2004, pp. 6-18), provided the following data on the top 10 malicious software instances for 2002 (Fig. below). The clear leader in the number of registered incidences for the year 2002 was the Internet worm "Klez," and it is still one of the most widespread threats. This virus was first detected on October 26, 2001, and it has held the top spot among malicious software for the longest period in the history of virology. Suppose that 23 malicious software instances are reported. Assume that the malicious sources can be assumed to be independent. Round your answers to two decimal places (e. g. 98.76).

(a) What is the probability at least 4 instances are "Klez"?

(b) What is the probability that 4 or more instances are "Klez"?

(c) What is the mean and (d) standard deviation of the number of "Klez" instances among the 23 reported?

Question

Aryan Glenn

Biology

22 October, 11:00

An article in Information Security Technical Report, "Malicious Software-Past, Present and Future" (Vol. 9, 2004, pp. 6-18), provided the following data on the top 10 malicious software instances for 2002 (Fig. below). The clear leader in the number of registered incidences for the year 2002 was the Internet worm "Klez," and it is still one of the most widespread threats. This virus was first detected on October 26, 2001, and it has held the top spot among malicious software for the longest period in the history of virology. Suppose that 23 malicious software instances are reported. Assume that the malicious sources can be assumed to be independent. Round your answers to two decimal places (e. g. 98.76).

(a) What is the probability at least 4 instances are "Klez"?

(b) What is the probability that 4 or more instances are "Klez"?

(c) What is the mean and (d) standard deviation of the number of "Klez" instances among the 23 reported?

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Answers (1)

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Tate Macdonald · Answer 1

The number of ''Klez" instances is a B (n = 23; p = 0.6122) random variable. P (X = x) = (23 x) * (0.6122) ^x * (0.3878) ^ (23-x) x = 0,1,2, ...,23 The