Question

8% of all Americans live in poverty. If 44 Americans are randomly selected, find the probability that

a. Exactly 1 of them live in poverty.   ____
b. At most 5 of them live in poverty. ____  
c. At least 4 of them live in poverty.   ____
d. Between 1 and 7 (including 1 and 7) of them live in poverty.  ____

Answer 1

X ~ B ( n = 44 , P = 0.08 )

Part a)

Part b)

P ( X <= 5 ) = 0.8634

Part c)
P ( X >= 4 ) = 1 - P ( X <= 3 )

P ( X >= 4 ) = 1 - 0.5277
P ( X >= 4 ) = 0.4723

Part d)

P ( 1 <= X <= 7 ) = 0.9524