Answer:
0.7569, 0.5729,0.4371
Step-by-step explanation:
Given that the books are of only two types either non dash fiction or fiction.
Also probability of selecting a fiction = 0.87 = p
X - no of books fiction selected is binomial with p = 0.87 and n =2
(since each trial is independent of the other and there are only two trials)
a) the probability that both books are fiction=
[tex]P(X=2) = 0.87^2 = \\0.7569[/tex]
b) Here n =4 with same p.
[tex]P(X=4) =0.87^4 \\= 0.5729[/tex]
c) Prob atleast one is non dash fiction =[tex]P(X< 4)\\= 1-P(X=4)\\=1-0.87^4\\=0.4371[/tex]
This is not unusual since 0.4371 probability is not nearer to 0 it is almost half.