According to the New England Journal of Medicine, there is a 25% chance that a person 65 or older will enter a nursing h

[answerhappygod]

According to the New England Journal of Medicine,
there is a 25% chance that a person 65 or older will enter a
nursing home sometime in his or her lifetime.
Use the above information to answer the following questions:
Please, round to four decimal places!
I. If 15 people of this age group are selected, what is the
probability that less than two will enter a nursing
home? The letter associated with the correct answer
is
a) 0.0000
b) 0.0005
c) 0.0012
d) 0.0802
e) None of the above
II. If 15 people of this age group are selected, what is the
probability that at least two will enter a nursing
home? The letter associated with the correct answer
is
a) 0.9198
b) 0.9587
c) 0.9995
d) 1.0000
e) None of the above
III. Of 120 people of this age group, what is the expected
number of people who will eventually enter a nursing
home? The letter associated with the correct answer
is
a) 28
b) 30
c) 32
d) 40
e) None of the above
IV. Of 140 people of this age group, what is the standard
deviation? The letter associated with the correct answer
is
a) 4.4
b) 4.6
c) 4.9
d) 5.1
e) None of the above