Mathematics: A lab network consisting of 20 computers was attacked by a computer virus. This virus enters each computer with probability 0.4, independently of other computers. Find the probability that it entered at least 10 computers

A lab network consisting of 20 computers was

alexisdiaz365

21.01.2022

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Step-by-step explanation:

In the lab, there was a total of 20 computers. The probability of getting a computer affected because of the virus is 0.4.

Hence, the probability of a computer not getting affected is (1 - 0.4) = 0.6.

From the 20 computers, 10 can be chosen in $^{20}C_{10}$ ways.

The probability of 10 computers will be affected is $^{20}C_{10} \times (0.4)^{10} \times (0.6)^{10}$ .

Now, the probability of getting 11 computers be affected is $^{20}C_{11}\times (0.4)^{11}\times(0.6)^9$ .

Hence, the probability of at least 10 computers get affected is ∑ $^{20}C_n \times (0.4)^n\times(0.6)^{10-n}$ , where $10 \leq n \leq 20$ .

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zahradawkins2007

05.10.2022

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