Need help on the following question...Please

How many ways can an IRS auditor select 6 if 12 tax returns for an audit

Use a table of areas to find the specified area under the standard normal curve. The area that lies to the left of 1.13
(a)0.8485 (b) 0.8708 (c)0.8907 (d)0.1292

To solve the first question, we can use the concept of combinations in combinatorics.

In this scenario, we have 12 tax returns, and we need to select 6 out of them for an audit. The calculation of combinations can be done using the formula:

C(n, r) = n! / (r! * (n-r)!)

where "C" represents the number of combinations, "n" represents the total number of items to choose from, and "r" represents the number of items to be selected.

In this case, we want to find the number of ways to select 6 tax returns from a pool of 12, so we can use the combination formula as follows:

C(12, 6) = 12! / (6! * (12-6)!)
= 12! / (6! * 6!)

Calculating this expression will give us the number of ways an IRS auditor can select 6 tax returns out of 12 for an audit.

Regarding the second question, to find the specified area under the standard normal curve, we need to utilize a Z-table (also known as a standard normal distribution table).

A Z-table is a table that provides the cumulative probabilities for a standard normal distribution, where the area to the left of a certain Z-value can be found.

To find the area to the left of 1.13, you can follow these steps:

1. Look for the Z-table or standard normal distribution table.
2. Locate the row that begins with "1.1" on the leftmost column.
3. Identify the column that corresponds to "0.03" (since 1.13 is 0.03 away from 1.1).
4. The value at the intersection of the row and column should give you the area to the left of 1.13 (or the cumulative probability).
5. Check the provided answer options and select the one that matches the calculated area.

I cannot look up specific values in a table in real-time, so you will need to refer to a Z-table or an online calculator that provides the cumulative probabilities for a standard normal distribution to find the correct answer.