Question

The probability that a house in an urban area will be burglarized is 3%. If 22 houses are randomly selected, what is the probability that none of the houses will be burglarized?

Answer 1

Given that ,

p = 0.03

1 - p = 1 - 0.03 = 0.97

(a)n = 22

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

P(X = 0) = (₂₂ C ₀) * (0.03)⁰ (0.97)²²

^=0.5117

^{probability=0.5117}