Based on the u. s. census bureau’s american community survey of 2017, 12.9% of the u. s. population was foreign-born. the u. s. census bureau uses the term foreign-born to refer to anyone who is not a u. s. citizen at birth. when i took a sample of 5 students from my statistics class find the following probabilities:

1 find the probability that none of the students are foreign-born (x=0)
2 find p(x> =1) (that at least one is foreign-born)

0.52474, 0.47526

Step-by-step explanation:

given that based in the U.S. Census Bureau’s American Community Survey of 2017, 12.9% of the U.S. population was foreign-born.

The U.S. Census Bureau uses the term foreign-born to refer to anyone who is not a U.S. citizen at birth.

Hence for a randomly selected citizen to be foreign born has constant probability 12.9% since each person is independent of the other and there are only two outcomes.

For the sample of 5 students, X = foreign born is binomial (5, 0.129)

1) the probability that none of the students are foreign-born (x=0)

=

2 p(x>=1) (that at least one is foreign-born)

=

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5