Discussion Board $9-$ Uniform & Normal Distributions

The amount of time it takes to complete a Schedule C$-$Sole

Proprietorship tax form is uniformly distributed between $48$ minutes

and $75$ minutes. Using this information about this uniform

distribution answer the following questions: $($Round to $4$ decimal

places$)($C Chris O$$Byrne $2024$

A$.$ What is the probability that you complete the Schedule C$-$Sole

Proprietorship tax form in more than $58$ minutes?

B$.$ What is the probability that you complete the Schedule C$-$Sole

Proprietorship tax form between $50$ and $64$ minutes?

C$.$ What is the expected time it takes to complete a Schedule C$-$Sole

Proprietorship tax form?

The cost $($price$)$ for a tax return for an individual return costs $$173$

on average with a standard deviation of $$28.$ It is know that the cost

$($price$)$ of a tax return are normally distributed, use this information

and answer the following questions: $(*$Must use values from z$-$table

provided in class or on google drive or in the back of CH$6$ notes or

you will not receive credit$)($Chris O$$Byrne $2024$

A$.$ What is the probability that you will select a tax return for an

individual return, and it costs at least $$205?$

A$.$ What is the probability that you will select a tax return for an

individual return, and it costs less than $$150?$

B$.$ What is the probability that you select a tax return for an individual

return, and it costs between $$160$ and $$200?$

C$.$ Where do the top $7\%($most expensive$)$ of tax returns for an

individual return start at$?($no rounding answer$)$

$($C$)$ Chris O'Byrne $2024$