4. Neo notices that a glitch in the matrix occurs an average of 3.3 times per week. He also sees that 31% of all cats are black. Last week, he saw 39 cats. Here, assume that a observing a glitch in...

Extracted text: 4. Neo notices that a glitch in the matrix occurs an average of 3.3 times per week. He also sees that 31% of all cats are black. Last week, he saw 39 cats. Here, assume that a observing a glitch in the matrix and seeing a black cat are independent events. а. What is the probability of Neo seeing more than 3 black cats and noticing at most one glitch in the matrix last week? b. What is the probability of Neo seeing fewer than 22 black cats?