The chances of a tax return being audited are about 21 in 1 comma 000 if an income is less than $100,000 and 29 in 1 comma 000 if an income is $100,000 or more. Complete parts a through e. a. What is the probability that a taxpayer with income less than $100,000 will be audited? With income of $100,000 or more? Upper P (taxpayer with income less than $ 100 comma 000 is audited )equals nothing (Type an integer or a decimal.) What is the probability that a taxpayer with income of $100,000 or more will be audited? Upper P (taxpayer with income of $ 100 comma 000 or higher is audited )equals nothing (Type an integer or a decimal.) b. If five taxpayers with incomes under $100,000 are randomly selected, what is the probability that exactly one will be audited? That more than one will be audited?

a) p=0.021

b) p=0.029

c) Exactly one audit: P=0.0965

More than one audit: P=0.0042

Step-by-step explanation:

a) If the income is less than $100,000, there is a probability of 21 in 1,000 of being audited. This is:

If the income is equal or more than $100,000, there is a probability of 29 in 1,000 of being audited. This is:

b) If we have 5 taxpayers with incomes under $100,000, and we want to know the probability that exactly one will be audited, we can model this a binomial randome variable, with p=0.021 and n=5:

There is a probability of 0.0965 that exactly one out of a sample of five taxpayers with incomes under $100,000 will be audited.

To calculate the probability that more than one will be audited, we use the same distribution:

There is a probability of 0.0042 that more than one out of a sample of five taxpayers with incomes under $100,000 will be audited.

The mass of one whole pizza is:

256 grams.

Step-by-step explanation:

Take into account the information previously provided:

The two whole pizzas are the same. The first one was cut into four equal pieces. The second was cut into eight equal pieces.

It can be identified by the information and the proportionality that each slice of pizza 1 has twice the mass of the slice of pizza 2, therefore, when it is mentioned that a slice of pizza 1 has 32 grams more than one of pizza 2, it is identified that the original mass of a piece of pizza 2 is 32 grams and the mass of a piece of pizza 1 is:

Pizza slice dough 1 = 32 * 2 = 64 grams.

With this information it can be calculated with pizza 1, where 4 pieces of pizza were obtained, so to calculate the total pizza mass the individual mass is multiplied by 4:

Total pizza weight = 64 grams * 4 = 256 grams.