Answer:
Step-by-step explanation:
Let X be the no of adults whose feelings the state of morals is poor.
X has two outcomes and each trial is independent of the other
X is Bin with p = probability for success in each trial =40%=0.40
n=no of adults surveyed = 55
a) The probability that exactly 21 of those surveyed feel the state of morals is poor is
[tex]P(X=21) = 40C21 (0.4)^{21} (1-0.4)^{19} \\=0.03519[/tex]
(b) The probability that no more than 22 of those surveyed feel that state of morals is poor is
=[tex]P(X<22)\\=0.9811[/tex]
(c) The probability that more than22 of those surveyed feel the state of morals is poor is
[tex]P(X>22)\\=1-0.9811\\=0.0119[/tex]
(d) The probability that 15 or 16 believe the state of morals is poor is
=[tex]P(X=15)+P(X=16)\\=0.1228+0.1279\\=0.2507[/tex]