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

$($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

$($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

$($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.