According to the US Census 675 of the US population were bor

According to the U.S. Census, 67.5% of the U.S. population were born in their state of residence. In a random sample of 207 Americans, what is the probability that fewer than 127 were born in their state of residence? Round the final answer to four decimal places and intermediate z-value calculations to two decimal places. Source: www.ccnsus.gov P(X

Solution

Prob for being born in their state of residence = 0.675

As each person is independent, and there are two outcomes

X = no of persons satisfying this is binomial with p=0.675, n = 207

Required prob

= P(X<127) = 0.0261