*************************************************************************************

MTH 216 Week 4 MyMathLab® Week 4 Checkpoint

Prerequisite Assignment: MyMathLab® Study Plan for Weekly Checkpoint.

1. Click on the Quiz tab.
2. Click External Content Launch to access MyMathLab®.
3. Click Homework and Tests in MyMathLab® at the top-left of the screen.
4. Click Week 4 Checkpoint.

Important Notes: You must earn at least 60% of the Mastery Points in the Weekly MyMathLab® Study Plan before you may start the Weekly Checkpoint.

It is highly recommended that you earn all Mastery Points in the Weekly MyMathLab® Study Plan Checkpoint. You have 1 attempt to complete the Weekly Checkpoints and do not have access to the Help me Solve This or View an Example features.

MTH 216 Week 4 Checkpoint

A restaurant offers 9

appetizers and 10

main courses.  In how many ways can a person order a​ two-course meal?  Use the multiplication principle with two groups of items.

There are 90

ways a person can order a​ two-course meal.

Pizza House offers 4

different​ salads, 4

different kinds of​ pizza, and 6

different desserts. How many different three course meals can be​ ordered?

Find the odds for and the odds against the event rolling a fair die and getting a 4 comma a 3 comma a 5 comma or a 2.

1. The odds for the event are 2

to 1

.

​(Simplify your​ answers.)

1. The odds against the event are 1

to 2

.

​(Simplify your​ answers.)

The odds on​ (against) your bet are 7

to 6

.

If you bet ​$48

and​ win, how much will you​ gain?

Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads? Why or why​ not? What does the law of large numbers tell you about the results you are likely to​ get?

Should you expect to get exactly 5000​ heads? Why or why​ not? Choose the correct answer below.

A.

You​ shouldn’t expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

B.

You should expect to get exactly 5000​ heads, because for a fair​ coin, the proportion of heads is exactly​ 50%.

C.

You​ shouldn’t expect to get exactly 5000​ heads, because it is not easy to count precisely the number of heads that occurred.

D.

You should expect to get exactly 5000​ heads, because the proportion of heads should be​ 50% for such a large number of tosses.

What does the law of large numbers tell you about the results you are likely to​ get?

A.

The proportion of heads should not approach 0.5 as the number of tosses increases.

B.

The proportion of heads should approach 0.5 as the number of tosses increases.

C.

The proportion of heads should approach 0.5 as the number of tosses decreases.

D.

The proportion of heads should approach 0.5 as the number of tosses approaches an exact number.

The table shows the leading causes of death in a certain country in a recent year. The population of the country was 313

million. What is the empirical probability of death by pneumonia or influenza

during a single​ year? How much greater is the risk of death by pneumonia or influenza

than death by kidney disease

​

Use the graph to estimate the death rate for 65

​-year-olds.

Assuming that there were about 11.6

million 65

​-year-olds,

how many people of this age could be expected to die in a​ year?

The estimated death rate for 65

​-year-olds

is 20

deaths per 1000 people.

​(Round to the nearest whole number as​ needed.)

Assuming that there were about 11.6 million

65

​-year-olds,

232000

people of this age could be expected to die in a year.

​(Simplify your​ answer.)

In a certain​ country, the life expectancy for women in 1900 was 47

years and in 2000 it was 75

years. Assuming that life expectancy between 2000 and 2100 increases by the same percentage as it did between 1900 and​ 2000, what will the life expectancy be for women in​ 2100?

Assuming the life expectancy between 2000 and 2100 will increase by the same percentage as it did between 1900 and​ 2000, the life expectancy for women in 2100 will be 120

years.

Baby Brianna

wants to arrange 5

blocks in a row. How many different arrangements can she

​make?

There are 120

ways to arrange the 5

blocks.

Answer the following question using the appropriate counting​ technique, which may be either arrangements with​ repetition, permutations, or combinations. Be sure to explain why this counting technique applies to the problem.

How many possible birth orders with respect to gender are possible in a family with seven

​children? (For​ example, BBGGBBB and BGBBBBG

are different​ orders.)

What counting technique should be used to make this​ calculation?

A.

Arrangements with repetitions because the selections come from a single group of​ items,  and the order of the arrangement matters.

B.

Combinations because the selections come from a single group of​ items, no item can be selected more than once and the order of the arrangement does not matter.

C.

Permutations because the selections come from a single group of​ items, no item can be selected more than once and the order of the arrangement matters.

D.

Arrangements with repetitions because there are r selections from a group of n choices and choices can be repeated.

There are 128

possible birth orders for a family with seven

children.

Find the probability of the given event.

Choosing eight

numbers that match eight

randomly selected balls when the balls are numbered 1 through 32

.

The probability of the given event is StartFraction 1 Over 10518300 EndFraction