contestada

According to a​ survey, 26​% of residents of a country 25 years old or older had earned at least a​ bachelor's degree. You are performing a study and would like at least 10 people in the study to have earned at least a​ bachelor's degree. ​(a) How many residents of the country 25 years old or older do you expect to randomly​ select? ​(b) How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.985 that the sample contains at least 10 who have earned at least a​ bachelor's degree?

Respuesta :

adebayodeborah8

Answer:

a) 39

b) 64

Step-by-step explanation:

a) in order to know how many residents of the country that are 25 years old or older do you expect to randomly​ select?  we say ;

Let the number of residents be x

0.26*x >=10

x >= 10/0.26 = 38.46

~ 39

b) in order to know How many residents of the country 25 years old or older do you have to randomly select to have a probability 0.985 that the sample contains at least 10 who have earned at least a​ bachelor's degree we say;

P(at least 10 out of 9) =1-P(at most 9 ) =0.983

solving above : number of randomly selected residents = 64

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