Mathematics
Probability ............. 15

### Question Description

It has been reported that 60% percent of all internet users have been attacked by viruses. If 14 people are randomly surveyed,find the following probabilities .

A- at least 6 have been attacked

B no more than 3 have been attacked

C-less than 12 hba

## Final Answer

The easiest way to do this problem is to use a binomial distribution table.

For a), n = 14, p = .6, x = 0, 1, 2 ,3,4,5
Add together the probabilities you find in the table, then subtract from 1 for your answer.

For b), n = 14, p = .6, x = 0, 1, 2, 3
Add together the probabilities you find in the table. This will be your answer.

For c), n = 14, p = .6, x = 12, 13, 14
Add together the probabilities you find in the table, then subtract from 1 for your answer.
After calculation , we get these values

A. Probability of  Atleast 6 have been Attacked = 1- 0.058 = 0.942

B. Probability no more than 3 have been attacked = 0.0039

C. Probability of less than 12 hba = 1 -  0.0397 = 0.9603

AnkitP (446)
Carnegie Mellon University
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