5. A lab network consisting of 11 computers was attacked by a computer virus. This virus enters each computer with probability of 0.4, independently of other computers.

a. Find the probability that the virus entered at least 10 computers.

b. Find the probability that the virus entered at most 2 computers.

c. What is the expected number of computers the virus would infect?

d. What is the standard deviation for the number of computer the virus would infect?