When circuit boards used in the manufacture of compact disc players arc tested, the long-run percentage of defectives is 5%. let x= the number of defective boards in a random sample of size n=25, so

x∼bin(25,0.05).

(a) determine p(x=3).

(b) determine p(x≤3).

(c) determine p(x≥4).

(d) determine p(1≤x≤3).

(e) what is the probability that none of the 25 boards is defective?