<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and n=20, x=0 and assuming leaks are developed independently between houses, P(X=x) =C(n,0)p^x* (1-p)^(n-x) =C(20,0)0.55^0 * (0.45^20) =1*1*0.45^20 =1.159*10^(-7) =0.000
