Approximately 21% of U.S. residents ages 5 and older speak a language other than English at home (source(Links to an external site.)). 790 people are randomly selected from the population. Considering "speaks a language other than English at home" to be a success, answer the following:

a: What is themeannumber of people in a sample this size who speak a language other than English at home? (Round to the nearest whole person as needed.)

b: Which of the following notations represents the probability thatat most 159of these people speak a language other than English at home?(Enter the number for your answer.)

1. P(X<159)

2. P(159)

3. P(X159)

4. P(X>159)

c: Which of the following commands would you enter in Sheets/Excel to calculate the probability thatat most 159of these people speak a language other than English at home?(Enter the number for your answer.)

1. 1-BINOM.DIST(159, 790, 21, false)

2. BINOM.DIST(790, 0.159, 0.21, true)

3. BINOM.DIST(0.159, 790, 0.21, false)

4. BINOM.DIST(159, 790, 0.21, true)

(Round all following answers to 3 decimal places.)

d: Calculate it: What is the probability thatat most 159of these people speak a language other than English at home?

e: What is the probability thatexactly 171of these people speak a language other than English at home?

f: What is the probability that at least 148of these people speak a language other than English at home?