A recent survey reported that 36​% of​ 18- to​ 29-year-olds in a certain country own tablets. Using the binomial​ distribution, complete parts​ (a) through​ (e) below. a. What is the probability that...




A recent survey reported that
36​%

of​ 18- to​ 29-year-olds in a certain country own tablets. Using the binomial​ distribution, complete parts​ (a) through​ (e) below.




a. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, four will own a​ tablet?


The probability is


​(Type an integer or a decimal. Round to four decimal places as​ needed.)

b. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, all six will own a​ tablet?


The probability is


​(Type an integer or a decimal. Round to four decimal places as​ needed.)

c. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, at least four will own a​ tablet?


The probability is
nothing.


​(Type an integer or a decimal. Round to four decimal places as​ needed.)

d. What are the mean and standard deviation of the number of​ 18- to​ 29-year-olds who will own a tablet in a survey of​ six?


The mean number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is
nothing.


​(Type an integer or a decimal. Round to four decimal places as​ needed.)

The standard deviation of the number of​ 18- to​ 29-year-olds who own tablets out of six surveyed is
nothing.


​(Type an integer or a decimal. Round to four decimal places as​ needed.)

e. What assumptions do you need to make in​ (a) through​ (c)? Select all that apply.







A.


The probability of an observation being classified as the event of​ interest,
π​,

is constant from observation to observation.






B.


Each observation is classified into one of two mutually exclusive and collectively exhaustive categories.






C.


The outcome of any observation is independent of the outcome of any other observation.






D.


The outcome of any observation is dependent of the outcome of any other observation.





Jun 02, 2022
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