Question

Suppose 2 houses in 1000 catches fire in a year & there are 2000 houses in d village. what is d probability of
1 atleast 1 house catches fire?
2 none of the house catch fire?

Answer 1

Question #15239Suppose 2 houses in 1000 catches fire in a year; there are 2000 houses in the village. what is the probability of

1 at least 1 house catches fire?

2 none of the house catch fire? .

Solution. The probability of a fire 0.002. The number of houses caught by fire per year $X=Bin(2000,0.002)$.

a) $P(X\geq 1)=1-P(X=0)=1-0.998^{1000}\approx 086$.

b)$P(X=0)=0.998^{1000}\approx 0.14$.