Answer:
Follows are the solution to the given points:
Explanation:
In point a:
In the PMF of K, that pager receives its same message number of times, that is [tex]=\tiny \binom{n}{k}p^{k} (1-p)^{n-k}[/tex]
In point b:
The possibility of getting number of cultural at least once in x:
[tex]\to 1-P(\text{not receiving it at all})\\\\\to 1-(0.2)x\\\\\to 1-(0.2)x>0.95\\\\\to (0.2)x<0.05 \\\\[/tex]
appling the [tex]\log[/tex]:
[tex]\to x>0.25[/tex]
The value x is equal to 3.
