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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.
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ISBN:
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Author:
Ron Larson
Publisher:
Cengage Learning