Question

In a populous city 15% people are bilingual (B). You are in charge of randomly selecting a group of 25 people from the population. You are interested in the number of bilingual members that might get selected.

(i) What distribution applies here and based on what assumption? Name it and define the probability mass function applicable, giving the values of the parameters. (10 pts)

(ii) What is the probability that there will be exactly 5 bilinguals selected? Write the expression and evaluate it. (8 pts.)

(iii) What is the probability that at most 10 are bilinguals? Use Excel to answer this. (8 pts.)

(iv) What is the mean and standard deviation of the number of the bilingual members you might select? Interpret the mean. (7 pts.)

Answer 1